JP2019060423A - Deflective meshing-type gear device - Google Patents

Deflective meshing-type gear device Download PDF

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JP2019060423A
JP2019060423A JP2017186170A JP2017186170A JP2019060423A JP 2019060423 A JP2019060423 A JP 2019060423A JP 2017186170 A JP2017186170 A JP 2017186170A JP 2017186170 A JP2017186170 A JP 2017186170A JP 2019060423 A JP2019060423 A JP 2019060423A
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gear
external
internal
diameter
internal gear
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JP6912989B2 (en
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稔也 南雲
Toshiya Nagumo
稔也 南雲
石塚 正幸
Masayuki Ishizuka
正幸 石塚
真司 吉田
Shinji Yoshida
真司 吉田
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Sumitomo Heavy Industries Ltd
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Sumitomo Heavy Industries Ltd
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Priority to KR1020180072073A priority patent/KR102499742B1/en
Priority to CN201810695903.4A priority patent/CN109555831B/en
Priority to DE102018116255.3A priority patent/DE102018116255B4/en
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    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16HGEARING
    • F16H55/00Elements with teeth or friction surfaces for conveying motion; Worms, pulleys or sheaves for gearing mechanisms
    • F16H55/02Toothed members; Worms
    • F16H55/08Profiling
    • F16H55/0833Flexible toothed member, e.g. harmonic drive
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16HGEARING
    • F16H49/00Other gearings
    • F16H49/001Wave gearings, e.g. harmonic drive transmissions
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16HGEARING
    • F16H55/00Elements with teeth or friction surfaces for conveying motion; Worms, pulleys or sheaves for gearing mechanisms
    • F16H55/02Toothed members; Worms
    • F16H55/08Profiling
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16HGEARING
    • F16H1/00Toothed gearings for conveying rotary motion
    • F16H1/28Toothed gearings for conveying rotary motion with gears having orbital motion
    • F16H1/32Toothed gearings for conveying rotary motion with gears having orbital motion in which the central axis of the gearing lies inside the periphery of an orbital gear
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16HGEARING
    • F16H1/00Toothed gearings for conveying rotary motion
    • F16H1/28Toothed gearings for conveying rotary motion with gears having orbital motion
    • F16H1/32Toothed gearings for conveying rotary motion with gears having orbital motion in which the central axis of the gearing lies inside the periphery of an orbital gear
    • F16H2001/327Toothed gearings for conveying rotary motion with gears having orbital motion in which the central axis of the gearing lies inside the periphery of an orbital gear with orbital gear sets comprising an internally toothed ring gear

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  • Engineering & Computer Science (AREA)
  • General Engineering & Computer Science (AREA)
  • Mechanical Engineering (AREA)
  • Retarders (AREA)
  • Gears, Cams (AREA)

Abstract

To provide a deflective meshing-type gear device capable of suppressing excessive wear-out of gears.SOLUTION: A deflective meshing-type gear device comprises: an exciter; an external gear which is deflected and deformed by the exciter; a first internal gear which is meshed with the external gear; and a second internal gear which is disposed side by side with the first internal gear in an axial direction and meshed with the external gear. The external gear includes: a first outer tooth part which is meshed with the first internal gear; and a second outer tooth part which is meshed with the second internal gear. A tooth tip of the first outer tooth part includes: a first maximum outer diameter part of which the outer diameter becomes maximum; a first outside decreased part of which the outer diameter is decreased axially outsides from the first maximum outer diameter part; and a first inside decreased part of which the outer diameter is decreased axially insides from the first maximum outer diameter part. A tooth tip of the second outer tooth part includes: a second maximum outer diameter part of which the outer diameter becomes maximum; a second outside decreased part of which the outer diameter is decreased axially outsides from the second maximum outer diameter part; and a second inside decreased part of which the outer diameter is decreased axially insides from the second maximum outer diameter part.SELECTED DRAWING: Figure 2

Description

本発明は、撓み噛合い式歯車装置に関する。   The present invention relates to a flexible meshed gear device.

小型かつ軽量で高減速比が得られる歯車装置として、撓み噛合い式歯車装置が知られている。従来では、起振体と、起振体により撓み変形される外歯歯車と、外歯歯車と噛み合う第1内歯歯車と、第1内歯歯車と軸方向に隣接して配置され、外歯歯車と噛み合う第2内歯歯車と、を備える、いわゆるフラット型の撓み噛合い式歯車装置が提案されている(例えば特許文献1)。   A flexible meshed gear device is known as a small-sized, light-weight gear device capable of obtaining a high reduction ratio. Conventionally, an exciter, an external gear that is elastically deformed by the exciter, a first internal gear that meshes with the external gear, and an axially adjacent to the first internal gear are disposed. There has been proposed a so-called flat-type flexible meshing gear device including a second internal gear meshed with a gear (for example, Patent Document 1).

国際公開第2016/21011号International Publication No. 2016/21011

特許文献1に記載されるような撓み噛合い式歯車装置では、外部モーメント荷重により歯車にミスアライメントが生じ、これにより歯車が片当たりし、歯車が過度に摩耗しうる。   In the case of a flexible meshed gear device as described in Patent Document 1, the external moment load causes misalignment of the gears, which can cause the gears to collide and cause excessive wear of the gears.

本発明はこうした状況に鑑みてなされたものであり、その目的は、歯車の過度な摩耗を抑止できる撓み噛合い式歯車装置を提供することにある。   The present invention has been made in view of these circumstances, and an object thereof is to provide a flexible meshing gear device capable of suppressing excessive wear of a gear.

上記課題を解決するために、本発明のある態様の撓み噛合い式歯車装置は、起振体と、起振体により撓み変形される外歯歯車と、外歯歯車と噛み合う第1内歯歯車と、第1内歯歯車と軸方向に並べて配置され、外歯歯車と噛み合う第2内歯歯車と、を備える撓み噛合い式歯車装置であって、外歯歯車は、第1内歯歯車と噛み合う第1外歯部と、第2内歯歯車と噛み合う第2外歯部と、を有する。第1外歯部の歯先は、外径が最大となる第1最外径部と、第1最外径部から軸方向外側に向かって外径が減少する第1外側減少部と、第1最外径部から軸方向内側に向かって外径が減少する第1内側減少部と、を有する。第2外歯部の歯先は、外径が最大となる第2最外径部と、第2最外径部から軸方向外側に向かって外径が減少する第2外側減少部と、第2最外径部から軸方向内側に向かって外径が減少する第2内側減少部と、を有する。   In order to solve the above problems, a flexible meshing gear device according to an aspect of the present invention includes a vibration generating body, an external gear that is elastically deformed by the vibration generating body, and a first internal gear that meshes with the external gear. And a second internal gear axially arranged in line with the first internal gear and meshing with the external gear, wherein the external gear is the first internal gear It has the 1st external gear part which meshes, and the 2nd external gear part which meshes with the 2nd internal gear. The tooth tips of the first external teeth portion have a first outermost diameter portion where the outer diameter is largest, a first outer reduced portion where the outer diameter decreases axially outward from the first outermost diameter portion, and And (1) a first inner reduced portion whose outer diameter decreases axially inward from the outermost diameter portion. The tooth tips of the second external teeth portion have a second outermost diameter portion where the outer diameter is maximum, a second outer reduced portion where the outer diameter decreases axially outward from the second outermost diameter portion, and And (2) a second inner reduced portion in which the outer diameter decreases axially inward from the outermost diameter portion.

本発明の別の態様は、撓み噛合い式歯車装置である。この装置は、起振体と、起振体により撓み変形される外歯歯車と、外歯歯車と噛み合う第1内歯歯車と、第1内歯歯車と軸方向に並べて配置され、外歯歯車と噛み合う第2内歯歯車と、を備える撓み噛合い式歯車装置であって、第1内歯歯車の内歯部の歯先は、内径が最小となる第1最内径部と、第1最内径部から軸方向外側に向かって内径が増大する第1外側増大部と、第1最内径部から軸方向内側に向かって内径が増大する第1内側増大部と、を有する。第2内歯歯車の内歯部の歯先は、内径が最小となる第2最内径部と、第2最内径部から軸方向外側に向かって内径が増大する第2外側増大部と、第2最内径部から軸方向内側に向かって内径が増大する第2内側増大部と、を有する。   Another aspect of the present invention is a flexible meshed gear device. This device is disposed in axial alignment with the exciter, the external gear that is bent and deformed by the exciter, the first internal gear that meshes with the external gear, and the first internal gear, and the external gear A second internal gear meshed with the first internal gear, wherein a tooth tip of an internal tooth portion of the first internal gear has a first innermost diameter portion having a minimum inner diameter, and a first maximum inner diameter portion It has a first outer increaser whose inner diameter increases axially outward from the inner diameter portion, and a first inner increaser whose inner diameter increases axially inward from the first innermost diameter portion. The tooth tip of the internal tooth portion of the second internal gear includes a second innermost diameter portion having a minimum inner diameter, a second outer increasing portion having an inner diameter increasing axially outward from the second inner diameter portion, and And (2) a second inner increase portion whose inner diameter increases inward in the axial direction from the innermost diameter portion.

本発明のさらに別の態様もまた、撓み噛合い式歯車装置である。この装置は、起振体と、起振体により撓み変形される外歯歯車と、外歯歯車と噛み合う第1内歯歯車と、第1内歯歯車と軸方向に並べて配置され、外歯歯車と噛み合う第2内歯歯車と、を備える撓み噛合い式歯車装置であって、外歯歯車は、第1内歯歯車の第1内歯部と噛み合う第1外歯部と、第2内歯歯車の第2内歯部と噛み合う第2外歯部と、を有する。第1外歯部の歯先は、外径が最大となる第1最外径部と、第1最外径部から軸方向外側に向かって外径が減少する第1外側減少部と、を有する。第2外歯部の歯先は、外径が最大となる第2最外径部と、第2最外径部から軸方向外側に向かって外径が減少する第2外側減少部と、を有する。第1内歯部の歯先は、内径が最小となる第1最内径部と、第1最内径部から軸方向内側に向かって内径が増大する第1内側増大部と、を有する。第2内歯部の歯先は、内径が最小となる第2最内径部と、第2最内径部から軸方向内側に向かって内径が増大する第2内側増大部と、を有する。   Yet another aspect of the present invention is also a flexible meshed gear device. This device is disposed in axial alignment with the exciter, the external gear that is bent and deformed by the exciter, the first internal gear that meshes with the external gear, and the first internal gear, and the external gear And a second internal gear that meshes with the first internal gear, wherein the external gear includes a first external gear that meshes with a first internal gear of the first internal gear, and a second internal gear. And a second external gear engaged with the second internal gear of the gear. The tooth tips of the first external teeth portion have a first outermost diameter portion where the outer diameter is largest, and a first outer reduced portion where the outer diameter decreases axially outward from the first outermost diameter portion Have. The tooth tips of the second external teeth portion have a second outermost diameter portion where the outer diameter is largest, and a second outer reduced portion where the outer diameter decreases axially outward from the second outermost diameter portion Have. The tooth tip of the first internal tooth portion has a first innermost diameter portion where the inner diameter is the smallest, and a first inner increased diameter portion where the inner diameter increases inward in the axial direction from the first innermost diameter portion. The tooth tip of the second internal tooth portion has a second innermost diameter portion where the inner diameter is the smallest, and a second inner increased diameter portion where the inner diameter increases inward in the axial direction from the second innermost diameter portion.

本発明のさらに別の態様もまた、撓み噛合い式歯車装置である。この装置は、起振体と、起振体により撓み変形される外歯歯車と、外歯歯車と噛み合う第1内歯歯車と、第1内歯歯車と軸方向に並べて配置され、外歯歯車と噛み合う第2内歯歯車と、を備える撓み噛合い式歯車装置であって、外歯歯車は、第1内歯歯車の第1内歯部と噛み合う第1外歯部と、第2内歯歯車の第2内歯部と噛み合う第2外歯部と、を有する。第1外歯部の歯先は、外径が最大となる第1最外径部と、第1最外径部から軸方向内側に向かって外径が減少する第1内側減少部と、を有する。第2外歯部の歯先は、外径が最大となる第2最外径部と、第2最外径部から軸方向内側に向かって外径が減少する第2内側減少部と、を有する。第1内歯部の歯先は、内径が最小となる第1最内径部と、第1最内径部から軸方向外側に向かって内径が増大する第1外側増大部と、を有する。第2内歯部の歯先は、内径が最小となる第2最内径部と、第2最内径部から軸方向外側に向かって内径が増大する第2外側増大部と、を有する。   Yet another aspect of the present invention is also a flexible meshed gear device. This device is disposed in axial alignment with the exciter, the external gear that is bent and deformed by the exciter, the first internal gear that meshes with the external gear, and the first internal gear, and the external gear And a second internal gear that meshes with the first internal gear, wherein the external gear includes a first external gear that meshes with a first internal gear of the first internal gear, and a second internal gear. And a second external gear engaged with the second internal gear of the gear. The tips of the first external teeth have a first outermost diameter portion where the outer diameter is the largest, and a first inner reduced portion where the outer diameter decreases inward in the axial direction from the first outermost diameter portion Have. The tooth tips of the second external teeth portion have a second outermost diameter portion where the outer diameter is largest, and a second inner reduced portion where the outer diameter decreases inward in the axial direction from the second outermost diameter portion Have. The tooth tip of the first internal tooth portion has a first innermost diameter portion where the inner diameter is the smallest, and a first outer increased diameter portion where the inner diameter increases axially outward from the first innermost diameter portion. The tooth tip of the second internal tooth portion has a second innermost diameter portion where the inner diameter is the smallest, and a second outer increased diameter portion where the inner diameter increases axially outward from the second innermost diameter portion.

本発明のさらに別の態様もまた、撓み噛合い式歯車装置である。この装置は、起振体と、起振体により撓み変形される外歯歯車と、外歯歯車と噛み合う第1内歯歯車と、第1内歯歯車と軸方向に並べて配置され、外歯歯車と噛み合う第2内歯歯車と、を備える撓み噛合い式歯車装置であって、外歯歯車は、第1内歯歯車の第1内歯部と噛み合う第1外歯部であって、第1内歯部と歯数が異なる第1外歯部と、第2内歯歯車の第2内歯部と噛み合う第2外歯部であって、第2内歯部と歯数が同じ第2外歯部と、を有する。第2外歯部の歯先は、外径が最大となる第2最外径部と、第2最外径部から軸方向内側に向かって外径が連続的に減少する第2内側減少部と、を有する。第2内側減少部は、第2外歯部の歯先の軸方向範囲の80%以上を占める。   Yet another aspect of the present invention is also a flexible meshed gear device. This device is disposed in axial alignment with the exciter, the external gear that is bent and deformed by the exciter, the first internal gear that meshes with the external gear, and the first internal gear, and the external gear A second internal gear that meshes with the first internal gear, wherein the external gear is a first external gear that meshes with a first internal gear of the first internal gear, A first external tooth portion having a different number of internal teeth and a second external tooth portion meshing with a second internal tooth portion of the second internal gear, wherein the second external tooth portion has the same number of teeth as the second internal tooth portion And a tooth portion. The tooth tip of the second external tooth portion has a second outermost diameter portion where the outer diameter is maximum, and a second inner reduced portion where the outer diameter decreases continuously inward in the axial direction from the second outermost diameter portion And. The second inner reduced portion occupies 80% or more of the axial range of the tooth tips of the second external teeth.

本発明のさらに別の態様は、撓み噛合い式歯車装置である。この装置は、起振体と、起振体により撓み変形される外歯歯車と、外歯歯車と噛み合う第1内歯歯車と、第1内歯歯車と軸方向に並べて配置され、外歯歯車と噛み合う第2内歯歯車と、を備える撓み噛合い式歯車装置であって、内歯歯車は、外歯歯車の第2外歯部と噛み合う第2内歯部であって、第2外歯部と歯数が同じ第2内歯部を有する。第2内歯部は、内径が最小となる最内径部と、最内径部から軸方向内側に向かって外径が連続的に増大する内側増大部を有する。内側増大部は、第2内歯部の歯先の軸方向範囲の80%以上を占める。   Yet another aspect of the present invention is a flexible meshed gear device. This device is disposed in axial alignment with the exciter, the external gear that is bent and deformed by the exciter, the first internal gear that meshes with the external gear, and the first internal gear, and the external gear And a second internal gear configured to engage with the second internal gear, wherein the internal gear is a second internal gear that is engaged with a second external gear of the external gear, the second external gear It has the 2nd internal tooth part where the number of teeth is the same as the part. The second internal tooth portion has an innermost diameter portion where the inner diameter is the smallest, and an inner increase portion where the outer diameter continuously increases inward in the axial direction from the innermost diameter portion. The inner increase portion occupies 80% or more of the axial range of the tooth tip of the second internal tooth portion.

なお、以上の構成要素の任意の組み合わせや、本発明の構成要素や表現を方法、装置、システムなどの間で相互に置換したものもまた、本発明の態様として有効である。   It is to be noted that any combination of the above-described constituent elements, or one obtained by replacing the constituent elements and expressions of the present invention among methods, apparatuses, systems, etc. is also effective as an aspect of the present invention.

本発明によれば、歯車の過度な摩耗を抑止できる撓み噛合い式歯車装置を提供できる。   According to the present invention, it is possible to provide a flexible meshing gear device capable of suppressing excessive wear of the gear.

実施の形態に係る撓み噛合い式歯車装置を示す断面図である。It is a sectional view showing a flexible meshed gear device concerning an embodiment. 図1の外歯歯車、第1内歯歯車および第2内歯歯車の形状を説明するための図である。It is a figure for demonstrating the shape of the external gear of FIG. 1, a 1st internal gear, and a 2nd internal gear. 図3(a)、(b)は、シミュレーション結果を示す図である。FIGS. 3A and 3B are diagrams showing simulation results. 第2の実施の形態に係る撓み噛合い式歯車装置の外歯歯車、第1内歯歯車および第2内歯歯車の形状を説明するための図である。It is a figure for demonstrating the shape of the external gear of the flexible mesh-type gear apparatus which concerns on 2nd Embodiment, a 1st internal gear, and a 2nd internal gear. 第3の実施の形態に係る撓み噛合い式歯車装置の外歯歯車、第1内歯歯車および第2内歯歯車の形状を説明するための図である。It is a figure for demonstrating the shape of the external gear of the flexible mesh-type gear apparatus which concerns on 3rd Embodiment, a 1st internal gear, and a 2nd internal gear. 第4の実施の形態に係る撓み噛合い式歯車装置の外歯歯車、第1内歯歯車および第2内歯歯車の形状を説明するための図である。It is a figure for demonstrating the shape of the external gear of the flexible mesh-type gear apparatus which concerns on 4th Embodiment, a 1st internal gear, and a 2nd internal gear. 第5の実施の形態に係る撓み噛合い式歯車装置の外歯歯車、第1内歯歯車および第2内歯歯車の形状を説明するための図である。It is a figure for demonstrating the shape of the external gear of the flexible mesh gear apparatus which concerns on 5th Embodiment, a 1st internal gear, and a 2nd internal gear. 第6の実施の形態に係る撓み噛合い式歯車装置の外歯歯車、第1内歯歯車および第2内歯歯車の形状を説明するための図である。It is a figure for demonstrating the shape of the external gear of the flexible mesh-type gear apparatus which concerns on 6th Embodiment, a 1st internal gear, and a 2nd internal gear. 第1の実施の形態の変形例に係る撓み噛合い式歯車装置の外歯歯車、第1内歯歯車および第2内歯歯車の形状を説明するための図である。It is a figure for demonstrating the shape of the external gear of the flexible mesh-type gear apparatus which concerns on the modification of 1st Embodiment, a 1st internal gear, and a 2nd internal gear. 第2の実施の形態の変形例に係る撓み噛合い式歯車装置の外歯歯車、第1内歯歯車および第2内歯歯車の形状を説明するための図である。It is a figure for demonstrating the shape of the external gear of the flexible mesh-type gear apparatus which concerns on the modification of 2nd Embodiment, a 1st internal gear, and a 2nd internal gear. 第3の実施の形態の変形例に係る撓み噛合い式歯車装置の外歯歯車、第1内歯歯車および第2内歯歯車の形状を説明するための図である。It is a figure for demonstrating the shape of the external gear of the flexible mesh-type gear apparatus which concerns on the modification of 3rd Embodiment, a 1st internal gear, and a 2nd internal gear. 第4の実施の形態の変形例に係る撓み噛合い式歯車装置の外歯歯車、第1内歯歯車および第2内歯歯車の形状を説明するための図である。It is a figure for demonstrating the shape of the external gear of the flexible mesh-type gear apparatus which concerns on the modification of 4th Embodiment, a 1st internal gear, and a 2nd internal gear. 第5の実施の形態の変形例に係る撓み噛合い式歯車装置の外歯歯車、第1内歯歯車および第2内歯歯車の形状を説明するための図である。It is a figure for demonstrating the shape of the external gear, the 1st internal gear, and the 2nd internal gear of the flexible mesh gear apparatus which concerns on the modification of 5th Embodiment. 第5の実施の形態の別の変形例に係る撓み噛合い式歯車装置の外歯歯車、第1内歯歯車および第2内歯歯車の形状を説明するための図である。It is a figure for demonstrating the shape of the external gear of the flexible mesh gear apparatus which concerns on another modification of 5th Embodiment, a 1st internal gear, and a 2nd internal gear. 第6の実施の形態の変形例に係る撓み噛合い式歯車装置の外歯歯車、第1内歯歯車および第2内歯歯車の形状を説明するための図である。It is a figure for demonstrating the shape of the external gear of the flexible mesh-type gear apparatus which concerns on the modification of 6th Embodiment, a 1st internal gear, and a 2nd internal gear.

以下、各図面に示される同一または同等の構成要素、部材、工程には、同一の符号を付するものとし、適宜重複した説明は省略する。また、各図面における部材の寸法は、理解を容易にするために適宜拡大、縮小して示される。また、各図面において実施の形態を説明する上で重要ではない部材の一部は省略して表示する。   Hereinafter, the same or equivalent constituent elements, members, and steps shown in the drawings are denoted by the same reference numerals, and duplicating descriptions will be appropriately omitted. In addition, dimensions of members in each drawing are shown appropriately enlarged or reduced for easy understanding. In each drawing, a part of members which are not important in describing the embodiment is omitted and displayed.

図1は、実施の形態に係る撓み噛合い式歯車装置100を示す断面図である。撓み噛合い式歯車装置100は、入力された回転を減速して出力する。撓み噛合い式歯車装置100は、波動発生器2と、外歯歯車4と、第1内歯歯車6と、第2内歯歯車8と、ケーシング10と、第1規制部材12と、第2規制部材14と、主軸受16と、第1軸受ハウジング18と、第2軸受ハウジング20と、を備える。噛合い式歯車装置100には、潤滑剤(例えばグリース)が封入されている。潤滑剤は、外歯歯車4と第1内歯歯車6および第2内歯歯車8との噛み合い部や各軸受等を潤滑する。   FIG. 1 is a cross-sectional view showing a flexible meshed gear device 100 according to the embodiment. The flexible meshed gear device 100 decelerates and outputs the input rotation. The flexible meshed gear device 100 includes a wave generator 2, an external gear 4, a first internal gear 6, a second internal gear 8, a casing 10, a first restriction member 12, and a second. The control member 14, the main bearing 16, the first bearing housing 18, and the second bearing housing 20 are provided. In the meshing gear device 100, a lubricant (for example, grease) is enclosed. The lubricant lubricates the meshing portion between the external gear 4 and the first internal gear 6 and the second internal gear 8, the bearings, and the like.

波動発生器2は、起振体軸22と、起振体軸22と外歯歯車4(の第1外歯部4a)との間に配置される第1起振体軸受21aと、起振体軸22と外歯歯車4(の第2外歯部4b)との間に配置される第2起振体軸受21bと、を有する。第1起振体軸受21aは、複数の第1転動体24aと、第1保持器26aと、第1外輪部材28aと、を含む。第2起振体軸受21bは、複数の第2転動体24bと、第2保持器26bと、第2外輪部材28bとを含む。起振体軸22は、入力軸であり、例えばモータ等の回転駆動源に接続され、回転軸Rを中心に回転する。起振体軸22には、回転軸Rに直交する断面が略楕円形状である起振体22aが一体に形成されている。   The wave generator 2 includes a exciter shaft 22, a first exciter bearing 21 a disposed between the exciter shaft 22 and the external gear 4 (the first external gear 4 a), and an exciter It has the 2nd exciter bearing 21b arrange | positioned between the body shaft 22 and the external gear 4 (the 2nd external gear part 4b). The first exciter bearing 21a includes a plurality of first rolling elements 24a, a first cage 26a, and a first outer ring member 28a. The second exciter bearing 21b includes a plurality of second rolling elements 24b, a second cage 26b, and a second outer ring member 28b. The exciter shaft 22 is an input shaft, and is connected to a rotational drive source such as a motor, for example, and rotates around the rotational axis R. On the exciter shaft 22, an exciter 22 a having a substantially elliptical cross section orthogonal to the rotation axis R is integrally formed.

複数の第1転動体24aはそれぞれ、略円柱形状を有し、軸方向が回転軸R方向と略平行な方向を向いた状態で周方向に間隔を空けて設けられる。第1転動体24aは、第1保持器26aにより転動自在に保持され、起振体22aの外周面22bを転走する。つまり、第1起振体軸受21aの内輪は、起振体22aの外周面22bと一体的に構成されているが、これに限らず、起振体22aとは別体の専用の内輪を備えてもよい。第2転動体24bは、第1転動体24aと同様に構成される。複数の第2転動体24bは、第1保持器26aと軸方向に並ぶように配置された第2保持器26bにより転動自在に保持され、起振体22aの外周面22bを転走する。つまり、第2起振体軸受21bの内輪は、起振体22aの外周面22bと一体的に構成されているが、これに限らず、起振体22aとは別体の専用の内輪を備えてもよい。以降では、第1転動体24aと第2転動体24bとをまとめて「転動体24」とも呼ぶ。また、第1保持器26aと第2保持器26bとをまとめて「保持器26」とも呼ぶ   Each of the plurality of first rolling elements 24 a has a substantially cylindrical shape, and is provided at an interval in the circumferential direction in a state where the axial direction is in a direction substantially parallel to the rotation axis R direction. The first rolling element 24a is rotatably held by the first cage 26a, and rolls on the outer peripheral surface 22b of the exciter 22a. That is, although the inner ring of the first exciter bearing 21a is configured integrally with the outer peripheral surface 22b of the exciter 22a, the present invention is not limited to this, and a dedicated inner ring separate from the exciter 22a is provided. May be The second rolling element 24b is configured in the same manner as the first rolling element 24a. The plurality of second rolling elements 24b are rotatably held by the second cage 26b arranged to be axially aligned with the first cage 26a, and roll along the outer peripheral surface 22b of the vibration body 22a. That is, although the inner ring of the second exciter bearing 21b is configured integrally with the outer circumferential surface 22b of the exciter 22a, the present invention is not limited to this, and a dedicated inner ring separate from the exciter 22a is provided. May be Hereinafter, the first rolling element 24a and the second rolling element 24b are collectively referred to as "rolling element 24". In addition, the first holder 26a and the second holder 26b are collectively referred to as "holder 26".

第1外輪部材28aは、複数の第1転動体24aを環囲する。第1外輪部材28aは、可撓性を有し、複数の第1転動体24aを介して起振体22aにより楕円状に撓められる。第1外輪部材28aは、起振体22a(すなわち起振体軸22)が回転すると、起振体22aの形状に合わせて連続的に撓み変形する。第2外輪部材28bは、第1外輪部材28aと同様に構成される。第2外輪部材28bは、第1外輪部材28aとは別体として形成される。なお、第2外輪部材28bは、第1外輪部材28aと一体に形成されてもよい。以降では、第1外輪部材28aと第2外輪部材28bとをまとめて「外輪部材28」とも呼ぶ。   The first outer ring member 28a surrounds the plurality of first rolling elements 24a. The first outer ring member 28a has flexibility, and is elliptically bent by the exciter 22a via the plurality of first rolling elements 24a. When the exciter 22a (that is, the exciter shaft 22) rotates, the first outer ring member 28a is continuously bent and deformed in accordance with the shape of the exciter 22a. The second outer ring member 28 b is configured in the same manner as the first outer ring member 28 a. The second outer ring member 28b is formed separately from the first outer ring member 28a. The second outer ring member 28 b may be formed integrally with the first outer ring member 28 a. Hereinafter, the first outer ring member 28a and the second outer ring member 28b are collectively referred to as "the outer ring member 28".

外歯歯車4は、可撓性を有する環状の部材であり、その内側には起振体22a、転動体24および外輪部材28が嵌まる。外歯歯車4は、起振体22a、転動体24および外輪部材28が嵌まることによって楕円状に撓められる。外歯歯車4は、起振体22aが回転すると、起振体22aの形状に合わせて連続的に撓み変形する。外歯歯車4は、第1外輪部材28aの外側に位置する第1外歯部4aと、第2外輪部材28bの外側に位置する第2外歯部4bと、基材4cと、を含む。第1外歯部4aと第2外歯部4bとは単一の基材である基材4cに形成されており、同歯数である。   The external gear 4 is a flexible annular member, and the exciter 22a, the rolling member 24 and the outer ring member 28 are fitted inside thereof. The external gear 4 is bent in an elliptical shape as the exciter 22a, the rolling element 24 and the outer ring member 28 are fitted. The external gear 4 is continuously bent and deformed in accordance with the shape of the exciter 22a when the exciter 22a rotates. The external gear 4 includes a first external gear 4a located outside the first outer ring member 28a, a second external gear 4b located outside the second outer ring member 28b, and a base 4c. The first external teeth 4a and the second external teeth 4b are formed on a base 4c which is a single base, and have the same number of teeth.

第1内歯歯車6は、剛性を有する環状の部材であり、その内周に第1内歯部6aが形成されている。第1内歯部6aは、楕円状に撓められた外歯歯車4の第1外歯部4aを環囲し、起振体22aの長軸近傍の所定領域(2領域)で第1外歯部4aと噛み合う。第1内歯部6aは、第1外歯部4aよりも多くの歯を有する。   The first internal gear 6 is a rigid annular member, and a first internal gear 6a is formed on the inner periphery thereof. The first internal gear portion 6 a surrounds the first external gear portion 4 a of the external gear 4 that is bent in an elliptical shape, and the first external gear portion is formed in a predetermined region (two regions) near the major axis of the exciter 22 a. It meshes with the teeth 4a. The first internal teeth 6a have more teeth than the first external teeth 4a.

第2内歯歯車8は、第1内歯歯車6と軸方向に並べて(隣接して)配置される。第2内歯歯車8は、剛性を有する円筒状の部材であり、その内周に第2内歯部8aが形成されている。第2内歯部8aは、楕円状に撓められた外歯歯車4の第2外歯部4bを環囲し、起振体22aの長軸方向の所定領域(2領域)で第2外歯部4bと噛み合う。第2内歯部8aは、第2外歯部4bと同数の歯を有する。したがって、第2内歯歯車8は、第2外歯部4bひいては外歯歯車4の自転と同期して回転する。   The second internal gear 8 is arranged in line with (adjacent to) the first internal gear 6 in the axial direction. The second internal gear 8 is a rigid cylindrical member, and a second internal gear 8a is formed on the inner periphery thereof. The second internal gear portion 8a surrounds the second external gear portion 4b of the external gear 4 bent in an elliptical shape, and the second external portion is formed in a predetermined region (two regions) in the major axis direction of the exciter 22a. It meshes with the teeth 4b. The second internal teeth 8a have the same number of teeth as the second external teeth 4b. Therefore, the second internal gear 8 rotates in synchronization with the rotation of the second external gear 4 b and hence the external gear 4.

第1規制部材12は、平たいリング状の部材であり、外歯歯車4、第1外輪部材28aおよび第1保持器26aと第1軸受ハウジング18との間に配置される。第2規制部材14は、平たいリング状の部材であり、外歯歯車4、第2外輪部材28bおよび第2保持器26bと第2軸受ハウジング20との間に配置される。第1規制部材12および第2規制部材14は、外歯歯車4、外輪部材28および保持器26の軸方向の移動を規制する。   The first restriction member 12 is a flat ring-shaped member, and is disposed between the external gear 4, the first outer ring member 28 a and the first retainer 26 a and the first bearing housing 18. The second restriction member 14 is a flat ring-shaped member, and is disposed between the external gear 4, the second outer ring member 28 b and the second retainer 26 b and the second bearing housing 20. The first restricting member 12 and the second restricting member 14 restrict the axial movement of the external gear 4, the outer ring member 28 and the retainer 26.

ケーシング10は、略円筒状の部材であり、第2内歯歯車8を環囲する。ケーシング10には、第1内歯歯車6がインロー嵌合され、ボルト(不図示)により一体化される。ケーシング10と第2内歯歯車8との間には主軸受16が配置される。主軸受16は、本実施の形態ではクロスローラ軸受であり、周方向に間隔を空けて設けられる複数のローラ(転動体)46を含む。複数のローラ46は、第2内歯歯車8の転走面8bおよびケーシング10の転走面10aを転走する。つまり、第2内歯歯車8の外周側は主軸受16の内輪として機能し、ケーシング10の内周側は主軸受16の外輪として機能する。ケーシング10は、主軸受16を介して、第2内歯歯車8を相対回転自在に支持する。なお、主軸受16の軸受の種類は特に限定されるものではなく、例えば4点接触ボール軸受であってもよい。   The casing 10 is a substantially cylindrical member and encloses the second internal gear 8. The first internal gear 6 is inlaid with the casing 10 and integrated with a bolt (not shown). A main bearing 16 is disposed between the casing 10 and the second internal gear 8. The main bearing 16 is a cross roller bearing in the present embodiment, and includes a plurality of rollers (rolling elements) 46 provided at intervals in the circumferential direction. The plurality of rollers 46 roll on the rolling surface 8 b of the second internal gear 8 and the rolling surface 10 a of the casing 10. That is, the outer peripheral side of the second internal gear 8 functions as the inner ring of the main bearing 16, and the inner peripheral side of the casing 10 functions as the outer ring of the main bearing 16. The casing 10 supports the second internal gear 8 relatively rotatably via the main bearing 16. In addition, the kind of bearing of the main bearing 16 is not specifically limited, For example, a four-point contact ball bearing may be sufficient.

第1軸受ハウジング18は、環状の部材であり、起振体軸22を環囲する。同様に、第2軸受ハウジング20は、環状の部材であり、起振体軸22を環囲する。第1軸受ハウジング18と第2軸受ハウジング20とは、外歯歯車4、転動体24、保持器26、外輪部材28、第1規制部材12および第2規制部材14を軸方向に挟むよう配置される。第1軸受ハウジング18は、第1内歯歯車6に対してインロー嵌合されボルト固定される。第2軸受ハウジング20は、第2内歯歯車8に対してインロー嵌合されボルト固定される。第1軸受ハウジング18の内周には軸受30が組み込まれ、第2軸受ハウジング20の内周には軸受32が組み込まれており、起振体軸22は、軸受30および軸受32を介して、第1軸受ハウジング18および第2軸受ハウジング20に対して回転自在に支持される。   The first bearing housing 18 is an annular member and encloses the exciter shaft 22. Similarly, the second bearing housing 20 is an annular member and encloses the exciter shaft 22. The first bearing housing 18 and the second bearing housing 20 are arranged to axially sandwich the external gear 4, the rolling element 24, the cage 26, the outer ring member 28, the first restricting member 12 and the second restricting member 14. Ru. The first bearing housing 18 is inlay-fitted and bolted to the first internal gear 6. The second bearing housing 20 is inlay-fitted and bolted to the second internal gear 8. A bearing 30 is incorporated on the inner periphery of the first bearing housing 18, and a bearing 32 is incorporated on the inner periphery of the second bearing housing 20. The exciter shaft 22 includes the bearing 30 and the bearing 32 via The first bearing housing 18 and the second bearing housing 20 are rotatably supported.

起振体軸22と第1軸受ハウジング18の間にはオイルシール40が配置され、第1軸受ハウジング18と第1内歯歯車6の間にはOリング34が配置され、第1内歯歯車6とケーシング10との間にはOリング36が配置され、ケーシング10と第2内歯歯車8との間にはオイルシール42が配置され、第2内歯歯車8と第2軸受ハウジング20との間にはOリング38が配置され、第2軸受ハウジング20と起振体軸22との間にはオイルシール44が配置される。これにより、撓み噛合い式歯車装置100内の潤滑剤が漏れるのを抑止できる。   An oil seal 40 is disposed between the exciter shaft 22 and the first bearing housing 18, and an O-ring 34 is disposed between the first bearing housing 18 and the first internal gear 6. An O-ring 36 is disposed between the housing 6 and the casing 10, and an oil seal 42 is disposed between the casing 10 and the second internal gear 8. The second internal gear 8 and the second bearing housing 20 Between the second bearing housing 20 and the exciter shaft 22, an oil seal 44 is disposed. Thereby, the lubricant in the flexible meshed gear device 100 can be prevented from leaking.

以上のように構成された撓み噛合い式歯車装置100の動作を説明する。ここでは、第1外歯部4aの歯数が100、第2外歯部4bの歯数が100、第1内歯部6aの歯数が102、第2内歯部8aの歯数が100の場合を例に説明する。また、第2内歯歯車8および第2軸受ハウジング20が被駆動部材に連結される場合を例に説明する。   The operation of the flexible meshed gear device 100 configured as described above will be described. Here, the number of teeth of the first external gear 4a is 100, the number of teeth of the second external gear 4b is 100, the number of teeth of the first internal gear 6a is 102, and the number of teeth of the second internal gear 8a is 100 The case of will be described as an example. Further, a case where the second internal gear 8 and the second bearing housing 20 are connected to the driven member will be described as an example.

第1外歯部4aが楕円形状の長軸方向の2箇所で第1内歯部6aと噛み合っている状態で、起振体軸22が回転すると、これに伴って第1外歯部4aと第1内歯部6aとの噛み合い位置も周方向に移動する。第1外歯部4aと第1内歯部6aとは歯数が異なるため、この際、第1内歯部6aに対して第1外歯部4aが相対的に回転する。第1内歯歯車6および第1軸受ハウジング18が固定状態にあるため、第1外歯部4aは、歯数差に相当する分だけ自転することになる。つまり、起振体軸22の回転が大幅に減速されて第1外歯部4aに出力される。その減速比は以下のようになる。
減速比=(第1外歯部4aの歯数−第1内歯部6aの歯数)/第1外歯部4aの歯数
=(100−102)/100
=−1/50
When the exciter shaft 22 rotates in a state in which the first external teeth 4a are engaged with the first internal teeth 6a at two places in the major axis direction of the elliptical shape, the first external teeth 4a and The meshing position with the first internal gear 6a also moves in the circumferential direction. Since the first external teeth 4 a and the first internal teeth 6 a have different numbers of teeth, the first external teeth 4 a rotate relative to the first internal teeth 6 a at this time. Since the first internal gear 6 and the first bearing housing 18 are in a fixed state, the first external gear 4a rotates by an amount corresponding to the difference in the number of teeth. That is, the rotation of the exciter shaft 22 is significantly reduced and output to the first external gear 4a. The reduction ratio is as follows.
Reduction ratio = (number of teeth of first external teeth 4a−number of teeth of first internal teeth 6a) / number of teeth of first external teeth 4a = (100−102) / 100
= -1 / 50

第2外歯部4bは、第1外歯部4aと一体的に形成されているため、第1外歯部4aと一体に回転する。第2外歯部4bと第2内歯部8aは歯数が同一であるため、相対回転は発生せず、第2外歯部4bと第2内歯部8aとは一体に回転する。このため、第1外歯部4aの自転と同一の回転が第2内歯部8aに出力される。結果として、第2内歯歯車8からは起振体軸22の回転を−1/50に減速した出力を取り出すことができる。   Since the second external gear 4b is integrally formed with the first external gear 4a, the second external gear 4b rotates integrally with the first external gear 4a. Since the second external gear 4b and the second internal gear 8a have the same number of teeth, relative rotation does not occur, and the second external gear 4b and the second internal gear 8a rotate integrally. Therefore, the same rotation as the rotation of the first external gear 4a is output to the second internal gear 8a. As a result, from the second internal gear 8, an output obtained by decelerating the rotation of the exciter shaft 22 to -1/50 can be taken out.

続いて、外歯歯車4、第1内歯歯車6および第2内歯歯車8の構成をさらに詳細に説明する。   Subsequently, the configurations of the external gear 4, the first internal gear 6 and the second internal gear 8 will be described in more detail.

図2は、外歯歯車4、第1内歯歯車6および第2内歯歯車8の形状を説明するための図である。図2では、周方向から見た、外歯歯車4の第1外歯部4aの歯先、第2外歯部4bの歯先、第1内歯歯車6の第1内歯部6aの歯先、第2内歯歯車8の第2内歯部8aの歯先を示す。図2では、理解を容易にするため、第1内歯部6aの歯先および第2内歯部8aの歯先を、外歯歯車4から離れるように径方向外側にスライドさせた状態を示す。図2において、横軸は、ある基準位置からの軸方向の位置である。縦軸には、参考のために径方向の寸法目盛(1目盛りが10μm)を示す。また、図2において、中心線C1は、回転軸R(図2では不図示)に直交する線であって、第1外歯部4aと第1内歯部6aとの噛み合い範囲の軸方向における中央を通る線を示す。本実施の形態では、第1内歯部6aは、第1外歯部4aよりも軸方向の長さが短く、軸方向における全範囲で第1外歯部4aと噛み合っている。したがって、第1外歯部4aと第1内歯部6aとの噛み合い範囲の軸方向の長さは第1内歯部6aの軸方向の長さと等しく、中心線C1は第1内歯部6aの歯先の軸方向における中央を通る。また、中心線C2は、回転軸Rに直交する線であって、第2外歯部4bと第2内歯部8aとの噛み合い範囲の軸方向における中央を通る線を示す。本実施の形態では、第2内歯部8aは、第2外歯部4bよりも軸方向の長さが短く、軸方向における全範囲で第2外歯部4bと噛み合っている。したがって、第2外歯部4bと第2内歯部8aとの噛み合い範囲の軸方向の長さは第2内歯部8aの軸方向の長さと等しく、中心線C2は第2内歯部8aの歯先の軸方向における中央を通る。   FIG. 2 is a view for explaining the shapes of the external gear 4, the first internal gear 6 and the second internal gear 8. In FIG. 2, the tooth tips of the first external gear 4 a of the external gear 4, the tooth tips of the second external gear 4 b, and the teeth of the first internal gear 6 a of the first internal gear 6 viewed from the circumferential direction The tip of the second internal gear 8a of the second internal gear 8 is shown. In FIG. 2, in order to facilitate understanding, the tips of the first internal teeth 6 a and the tips of the second internal teeth 8 a are illustrated as being slid radially outward away from the external gear 4. . In FIG. 2, the horizontal axis is an axial position from a certain reference position. On the vertical axis, a radial scale (one scale is 10 μm) is shown for reference. Further, in FIG. 2, the center line C1 is a line orthogonal to the rotation axis R (not shown in FIG. 2), and in the axial direction of the meshing range of the first external teeth 4a and the first internal teeth 6a. Show a line through the center. In the present embodiment, the first internal teeth 6a are shorter in axial length than the first external teeth 4a, and mesh with the first external teeth 4a in the entire range in the axial direction. Therefore, the axial length of the meshing range between the first external gear 4a and the first internal gear 6a is equal to the axial length of the first internal gear 6a, and the center line C1 is the first internal gear 6a. Through the axial center of the tip of the The center line C2 is a line perpendicular to the rotation axis R, and passing through the center in the axial direction of the meshing range of the second external teeth 4b and the second internal teeth 8a. In the present embodiment, the second internal teeth 8a have a shorter axial length than the second external teeth 4b, and mesh with the second external teeth 4b in the entire range in the axial direction. Therefore, the axial length of the meshing range between the second external gear 4b and the second internal gear 8a is equal to the axial length of the second internal gear 8a, and the center line C2 is the second internal gear 8a. Through the axial center of the tip of the

第1外歯部4aの歯先は、第1外歯部4aにおいて外径が最大となる第1最外径部4a1と、第1最外径部4a1から軸方向外側に向かって(すなわち第1外歯部4aと第2外歯部4bの間の中央から遠ざかる方向に向かって)外径が減少する第1外側減少部4a2と、第1最外径部4a1から軸方向内側に向かって(すなわち第1外歯部4aと第2外歯部4bの間の中央に近づく方向に向かって)外径が減少する第1内側減少部4a3と、を有する。   The tooth tips of the first external teeth 4a are axially outward from the first outermost diameter 4a1 where the outer diameter is the largest at the first external teeth 4a, and from the first outermost diameter 4a1 (that is, the first outer teeth 4a) 1) the first outer reduced portion 4a2 whose outer diameter decreases in the direction of going away from the center between the outer tooth portion 4a and the second outer tooth portion 4b, and the first outermost diameter portion 4a1 axially inward A first inner reduced portion 4a3 whose outer diameter decreases (that is, in a direction toward the center between the first external teeth 4a and the second external teeth 4b).

第1最外径部4a1は、中心線C1よりも外側、言い換えると第1外歯部4aと第1内歯部6aとの噛み合い範囲の軸方向における中央よりも外側に、さらに言い換えると第1内歯部6aの歯先の軸方向中央よりも外側に位置する。本実施の形態ではさらに、第1最外径部4a1は、第1外歯部4aの歯先の軸方向中央よりも外側に位置する。第1外側減少部4a2は、第1最外径部4a1から軸方向外側に向かって、曲線的に外径が減少するよう構成される。第1内側減少部4a3は、第1最外径部4a1から軸方向内側に向かって、曲線的に外径が減少するよう構成される。また、第1内側減少部4a3は、第1内歯歯車6と第2内歯歯車8との隙間7の径方向内側に対応する(すなわち対向する)部分まで延在するよう構成される。また、第1外側減少部4a2および第1内側減少部4a3はいずれも、第1最外径部4a1から離れるほど軸方向に対する外径の減少割合(=外径の減少量/軸方向の移動量)が増加するように構成される。   The first outermost diameter portion 4a1 is outside the center line C1, that is, outside the center in the axial direction of the meshing range of the first external teeth 4a and the first internal teeth 6a, in other words, the first outermost diameter 4a1. It is located outside the axial direction center of the tooth tip of internal tooth part 6a. Furthermore, in the present embodiment, the first outermost diameter portion 4a1 is located outside the axial center of the tooth tip of the first external tooth portion 4a. The first outer reduction portion 4a2 is configured such that the outer diameter thereof decreases in a curve toward the axially outer side from the first outermost diameter portion 4a1. The first inner reduced portion 4a3 is configured such that the outer diameter thereof decreases in a curve inward in the axial direction from the first outermost diameter portion 4a1. Further, the first inner reduced portion 4a3 is configured to extend to a portion corresponding to (i.e., opposed to) the radial inner side of the gap 7 between the first internal gear 6 and the second internal gear 8. In addition, the first outer reduced portion 4a2 and the first inner reduced portion 4a3 both decrease in outer diameter relative to the axial direction as they move away from the first outermost diameter portion 4a1 (= decrease amount of outer diameter / axial movement amount ) Is configured to increase.

第2外歯部4bの歯先は、第2外歯部4bにおいて外径が最大となる第2最外径部4b1と、第2最外径部4b1から軸方向外側に向かって外径が減少する第2外側減少部4b2と、第2最外径部4b1から軸方向内側に向かって外径が減少する第2内側減少部4b3と、を有する。   The tooth tips of the second external teeth 4b have an outer diameter in the axial direction from the second outermost diameter 4b1 where the outer diameter is the largest at the second external teeth 4b and the second outermost diameter 4b1. It has the 2nd outside reduction part 4b2 which decreases, and the 2nd inside reduction part 4b3 from which the outside diameter decreases in the direction of an axis inside from the 2nd outermost diameter part 4b1.

第2最外径部4b1は、中心線C2よりも外側、言い換えると第2外歯部4bと第2内歯部8aとの噛み合い範囲の軸方向における中央よりも外側に、さらに言い換えると第2内歯部8aの歯先の軸方向中央よりも外側に位置する。本実施の形態ではさらに、第2最外径部4b1は、第2外歯部4bの歯先の軸方向中央よりも外側に位置する。第2外側減少部4b2は、第2最外径部4b1から軸方向外側に向かって、曲線的に外径が減少するよう構成される。第2内側減少部4b3は、第2最外径部4b1から軸方向内側に向かって、曲線的に外径が減少するよう構成される。また、第2内側減少部4b3は、第1内歯歯車6と第2内歯歯車8との隙間7の径方向内側に対応する部分まで延在するよう構成される。また、第2外側減少部4b2および第2内側減少部4b3はいずれも、第2最外径部4b1から離れるほど軸方向に対する外径の減少割合が増加するように構成される。第2外側減少部4b2は、第1外側減少部4a2よりも、軸方向に対する外径の減少割合が大きくなるよう構成される。   The second outermost diameter portion 4b1 is outside the center line C2, that is, outside the center in the axial direction of the meshing range of the second external gear portion 4b and the second internal gear portion 8a, in other words, the second outermost diameter portion 4b1. It is located outside the axial center of the tooth tip of the internal tooth portion 8a. Further, in the present embodiment, the second outermost diameter portion 4b1 is located outside the axial center of the tooth tip of the second external gear portion 4b. The second outer reduction portion 4b2 is configured such that the outer diameter thereof decreases in a curve toward the axially outer side from the second outermost diameter portion 4b1. The second inner reduced portion 4b3 is configured such that the outer diameter thereof decreases in a curve inward in the axial direction from the second outermost diameter portion 4b1. Further, the second inner reduced portion 4 b 3 is configured to extend to a portion corresponding to the radially inner side of the gap 7 between the first internal gear 6 and the second internal gear 8. Further, the second outer reduction portion 4b2 and the second inner reduction portion 4b3 are both configured such that the reduction ratio of the outer diameter with respect to the axial direction increases with distance from the second outermost diameter portion 4b1. The second outer reduction portion 4b2 is configured such that the reduction ratio of the outer diameter in the axial direction is larger than that of the first outer reduction portion 4a2.

なお、第1外側減少部4a2、第1内側減少部4a3、第2外側減少部4b2および第2内側減少部4b3の各減少部は、軸方向に対する外径の減少割合が次式を満たすように構成される。
(式1)減少割合=外径(直径)の減少量(mm)/軸方向の移動量(mm)≦0.1
ここで、一般的に、面取りの場合の軸方向に対する外径の減少割合は次式を満たす。
(式2)面取りの外径(直径)の減少量(mm)/軸方向の移動量(mm)≧1.15
したがって、各減少部と面取りとは、オーダーが異なり、明らかに区別される。
In the respective reduced portions of the first outer reduced portion 4a2, the first inner reduced portion 4a3, the second outer reduced portion 4b2 and the second inner reduced portion 4b3, the reduction ratio of the outer diameter in the axial direction satisfies the following equation Configured
(Equation 1) Reduction ratio = reduction amount of outer diameter (diameter) (mm) / axial movement amount (mm) ≦ 0.1
Here, in general, the reduction ratio of the outer diameter to the axial direction in the case of chamfering satisfies the following equation.
(Equation 2) Decrease amount (mm) of outer diameter (diameter) of chamfering / axial movement amount (mm) 1.1 1.15
Thus, the reductions and the chamfers are of different orders and are clearly distinguished.

第1内歯部6aの歯先は、軸方向において内径が実質的に一定になるよう構成される。同様に、第2内歯部8aの歯先は、軸方向において内径が実質的に一定になるよう構成される。   The tips of the first internal teeth 6a are configured such that the inner diameter is substantially constant in the axial direction. Similarly, the tips of the second internal teeth 8a are configured such that the inner diameter is substantially constant in the axial direction.

以上説明した本実施の形態に係る撓み噛合い式歯車装置100によると、第1外歯部4aの歯先は、第1最外径部4a1から軸方向外側および軸方向内側に向かって外径が減少するように構成され、第2外歯部4bの歯先は、第2最外径部4b1から軸方向外側および軸方向内側に向かって外径が減少するように構成される。これにより、第1外歯部4aおよび第2外歯部4bの歯幅端(内歯の軸方向端部に対応する位置)に生じる片当たり荷重を低減でき、歯車の過度な摩耗を低減できる。   According to the flexible meshing gear device 100 according to the present embodiment described above, the tooth tips of the first external gear 4a have an outer diameter from the first outermost diameter portion 4a1 axially outward and axially inward. Is reduced, and the tips of the second external teeth 4b are configured such that the outer diameter decreases axially outward and axially inward from the second outermost diameter portion 4b1. As a result, it is possible to reduce the contact load generated at the tooth width end (the position corresponding to the axial end of the internal tooth) of the first external gear 4a and the second external gear 4b, and to reduce excessive wear of the gear. .

また、本実施の形態に係る撓み噛合い式歯車装置100によると、外歯歯車4の各最外径部は、外歯部と内歯部の噛み合い範囲の軸方向中央よりも外側に位置する。これにより、各最外径部が噛み合い範囲の軸方向中央または軸方向中央よりも内側に位置する場合と比べ、片当たり荷重をより低減できる。   Further, according to the flexible meshing gear device 100 according to the present embodiment, each outermost diameter portion of the external gear 4 is positioned outside the axial center of the meshing range of the external gear portion and the internal gear portion. . As a result, the per-piece load can be further reduced as compared with the case where each outermost diameter portion is located at or axially inside the axial center of the engagement range.

また、本実施の形態に係る撓み噛合い式歯車装置100によると、第1内側減少部4a3、第2内側減少部4b3はそれぞれ、第1内歯歯車6と第2内歯歯車8との隙間7の径方向内側に対応する部分まで延在するよう構成される。これにより、外歯歯車が内歯歯車に対して軸方向にずれることによる影響を吸収できる。   Further, according to the flexible meshing gear device 100 in accordance with the present embodiment, the first inner reduced portion 4a3 and the second inner reduced portion 4b3 respectively form the gap between the first internal gear 6 and the second internal gear 8. It is configured to extend to a portion corresponding to the radially inner side of 7. Thus, the influence of the external gear being shifted in the axial direction with respect to the internal gear can be absorbed.

本発明者達は、効果を確認するために、シミュレーションを行った。図3(a)は、比較例に係る撓み噛合い式歯車装置のシミュレーション結果を示し、図3(b)は本実施の形態に係る撓み噛合い式歯車装置100のシミュレーション結果を示す。図3(a)、(b)において、横軸は、外歯歯車4の軸方向位置であり、縦軸は、その軸方向位置での外歯歯車4にかかるラジアル荷重である。なお、比較例に係る撓み噛合い式歯車装置は、第1外歯部、第2外歯部、第1内歯部および第2内歯部はいずれも、歯先の径が軸方向において実質的に一定になるよう構成される。   The inventors conducted simulations to confirm the effect. FIG. 3A shows the simulation result of the flexible meshing gear device according to the comparative example, and FIG. 3B shows the simulation result of the flexible meshing gear device 100 according to the present embodiment. 3A and 3B, the horizontal axis is the axial position of the external gear 4 and the vertical axis is the radial load applied to the external gear 4 at that axial position. In the flexible meshed gear device according to the comparative example, the diameter of the tooth tips of the first external gear, the second external gear, the first internal gear, and the second internal gear is substantially the same in the axial direction. Configured to be constant.

図3(a)に示されるように、比較例に係る撓み噛合い式歯車装置では、外歯歯車の歯幅端(点線で囲った部分)におけるラジアル荷重が比較的大きく、片当たりが発生していることが分かる。   As shown in FIG. 3 (a), in the flexible meshed gear device according to the comparative example, the radial load at the tooth width end (portion surrounded by the dotted line) of the external gear is relatively large, and a partial contact occurs. Know that

一方、図3(b)に示されるように、本実施の形態に係る撓み噛合い式歯車装置100では、外歯歯車の歯幅端におけるラジアル荷重が比較的小さく、片当たりが低減されていることがわかる。また、本実施の形態に係る撓み噛合い式歯車装置100では、歯幅端に限らず、外歯歯車4に作用するラジアル荷重が全体的に低減されている。これらより、本実施の形態によれば、歯車の過度な摩耗を低減できることが分かる。   On the other hand, as shown in FIG. 3B, in the flexible meshing gear device 100 according to the present embodiment, the radial load at the tooth width end of the external gear is relatively small, and the partial contact is reduced. I understand that. Further, in the flexible meshed gear device 100 according to the present embodiment, the radial load acting on the external gear 4 as a whole is reduced, not limited to the tooth width end. From these, it can be seen that according to the present embodiment, excessive wear of the gear can be reduced.

(第2の実施の形態)
図4は、第2の実施の形態に係る撓み噛合い式歯車装置の外歯歯車4、第1内歯歯車6および第2内歯歯車8の形状を説明するための図である。図4は、第1の実施の形態の図2に対応する。第1の実施の形態との主な違いは、外歯部の歯先の径ではなく、内歯部の歯先の径が軸方向において変化する点である。以下、第1の実施の形態に係る撓み噛合い式歯車装置100との相違点を中心に説明する。
Second Embodiment
FIG. 4 is a view for explaining the shapes of the external gear 4, the first internal gear 6, and the second internal gear 8 of the flexible meshed gear device according to the second embodiment. FIG. 4 corresponds to FIG. 2 of the first embodiment. The main difference from the first embodiment is that the diameter of the tips of the internal teeth, not the diameter of the tips of the external teeth, changes in the axial direction. Hereinafter, differences from the flexible meshing gear device 100 according to the first embodiment will be mainly described.

第1外歯部4aの歯先は、軸方向において外径が実質的に一定になるよう構成される。同様に、第2外歯部4bの歯先は、軸方向において外径が実質的に一定になるよう構成される。第1外歯部4a、第2外歯部4bはいずれも、第1内歯歯車6と第2内歯歯車8との隙間7の径方向内側に対応する部分まで延在するよう構成される。   The tips of the first external teeth 4a are configured such that the outer diameter is substantially constant in the axial direction. Similarly, the tips of the second external teeth 4b are configured such that the outer diameter is substantially constant in the axial direction. Each of the first external gear 4 a and the second external gear 4 b is configured to extend to a portion corresponding to the radially inner side of the gap 7 between the first internal gear 6 and the second internal gear 8. .

第1内歯部6aの歯先は、第1内歯部6aにおいて内径が最小となる第1最内径部6a1と、第1最内径部6a1から軸方向外側に向かって内径が増大する第1外側増大部6a2と、第1最内径部6a1から軸方向内側に向かって内径が増大する第1内側増大部6a3と、を有する。   The tips of the first internal teeth 6a have a first innermost diameter 6a1 at which the inner diameter is the smallest at the first internal teeth 6a, and a first inner diameter which increases outward in the axial direction from the first inner diameter 6a1. It has an outer increase portion 6a2 and a first inner increase portion 6a3 whose inner diameter increases inward in the axial direction from the first innermost diameter portion 6a1.

第1最内径部6a1は、中心線C1よりも外側、言い換えると第1外歯部4aと第1内歯部6aとの噛み合い範囲の軸方向における中央よりも外側に、さらに言い換えると(第1外歯部4aと第1内歯部6aのうちの軸方向長さが短い方である)第1内歯部6aの歯先の軸方向中央よりも外側に位置する。第1外側増大部6a2は、第1最内径部6a1から軸方向外側に向かって、曲線的に内径が増大するよう構成される。第1内側増大部6a3は、第1最内径部6a1から軸方向内側に向かって、曲線的に内径が増大するよう構成される。また、第1内側増大部6a3は、第1最内径部6a1から離れるほど軸方向に対する内径の増大割合(=内径の増大量/軸方向の移動量)が増加するように構成される。   In other words, the first innermost diameter portion 6a1 is outside the center line C1, that is, outside the center in the axial direction of the meshing range of the first external teeth 4a and the first internal teeth 6a. The axial length of the external tooth portion 4a and the first internal tooth portion 6a is shorter than the axial center of the tooth tip of the first internal tooth portion 6a. The first outer increase portion 6a2 is configured such that the inner diameter increases in a curved manner toward the axially outer side from the first innermost diameter portion 6a1. The first inner increase portion 6a3 is configured such that the inner diameter increases in a curved manner inward in the axial direction from the first innermost diameter portion 6a1. Further, the first inner increase portion 6a3 is configured such that the increase ratio of the inner diameter in the axial direction (= the increase amount of the inner diameter / the movement amount in the axial direction) increases with distance from the first innermost diameter portion 6a1.

第2内歯部8aの歯先は、第2内歯部8aにおいて内径が最小となる第2最内径部8a1と、第2最内径部8a1から軸方向外側に向かって内径が増大する第2外側増大部8a2と、第2最内径部8a1から軸方向内側に向かって内径が増大する第2内側増大部8a3と、を有する。   The tooth tips of the second internal teeth 8a have a second innermost diameter 8a1 whose inner diameter is the smallest at the second internal teeth 8a, and a second inner diameter which increases outward in the axial direction from the second innermost diameter 8a1 It has an outer increase portion 8a2 and a second inner increase portion 8a3 whose inner diameter increases inward in the axial direction from the second innermost diameter portion 8a1.

第2最内径部8a1は、中心線C2よりも外側、言い換えると第2外歯部4bと第2内歯部8aとの噛み合い範囲の軸方向における中央よりも外側に、さらに言い換えると(第2外歯部4bと第2内歯部8aのうちの軸方向長さが短い方である)第2内歯部8aの歯先の軸方向中央よりも外側に位置する。第2外側増大部8a2は、第2最内径部8a1から軸方向外側に向かって、曲線的に内径が増大するよう構成される。第2内側増大部8a3は、第2最内径部8a1から軸方向内側に向かって、曲線的に内径が増大するよう構成される。また、第2内側増大部8a3は、第2最内径部8a1から離れるほど軸方向に対する内径の増大割合が増加するように構成される。   In other words, the second innermost diameter portion 8a1 is outside the center line C2, that is, outside the center in the axial direction of the meshing range of the second external teeth 4b and the second internal teeth 8a. The axial length of the external tooth portion 4 b and the second internal tooth portion 8 a is shorter than the axial center of the tooth tip of the second internal tooth portion 8 a. The second outer increase portion 8a2 is configured such that the inner diameter increases in a curved manner toward the axially outer side from the second innermost diameter portion 8a1. The second inner increase portion 8a3 is configured such that the inner diameter increases in a curved manner inward in the axial direction from the second innermost diameter portion 8a1. In addition, the second inner increase portion 8a3 is configured such that the increase ratio of the inner diameter in the axial direction increases with distance from the second innermost diameter portion 8a1.

なお、第1外側増大部6a2、第1内側増大部6a3、第2外側増大部8a2および第2内側増大部8a3の各増大部は、軸方向に対する内径の増大割合が次式を満たすように構成される。
(式3)増大割合=外径(直径)の増大量(mm)/軸方向の移動量(mm)≦0.1
したがって、第1の実施の形態の各減少部と同様に、各増大部と面取りとは、オーダーが異なり、明らかに区別される。
In addition, each increase portion of the first outer increase portion 6a2, the first inner increase portion 6a3, the second outer increase portion 8a2, and the second inner increase portion 8a3 is configured such that the increase ratio of the inner diameter in the axial direction satisfies the following expression. Be done.
(Equation 3) increase ratio = increase amount of outer diameter (diameter) (mm) / axial movement amount (mm) ≦ 0.1
Therefore, as with the respective reductions in the first embodiment, the respective growths and the chamfers are different in order and clearly distinguished.

以上説明した本実施の形態に係る撓み噛合い式歯車装置によると、第1内歯部6aの歯先は、第1最内径部6a1から軸方向外側および軸方向内側に向かって内径が増大するように構成され、第2内歯部8aの歯先は、第2最内径部8a1から軸方向外側および軸方向内側に向かって内径が増大するように構成される。これにより、第1外歯部4aおよび第2外歯部4bの歯幅端に生じる片当たり荷重を低減でき、歯車の過度な摩耗を低減できる。   According to the flexible meshing gear device in accordance with the present embodiment described above, the internal diameter of the tooth tips of the first internal gear portion 6a increases axially outward and axially inward from the first innermost diameter portion 6a1. The tooth tips of the second internal tooth portion 8a are configured to increase in inner diameter axially outward and axially inward from the second innermost diameter portion 8a1. As a result, it is possible to reduce the contact load generated at the tooth width end of the first external teeth 4a and the second external teeth 4b, and to reduce excessive wear of the gear.

また、本実施の形態に係る撓み噛合い式歯車装置によると、第1内歯歯車6、第2内歯歯車8はそれぞれ、最内径部が外歯部と内歯部の噛み合い範囲の軸方向中央よりも外側に位置する。これにより、最内径部が噛み合い範囲の軸方向中央または軸方向中央よりも内側に位置する場合と比べ、片当たり荷重をより低減できる。   Further, according to the flexible meshing gear device according to the present embodiment, the first internal gear 6 and the second internal gear 8 each have an axial direction in which the innermost diameter portion is the meshing range of the external gear portion and the internal gear portion. Located outside the center. As a result, compared to the case where the innermost diameter portion is located at or axially inside the axial center of the engagement range, the per-piece load can be further reduced.

また、本実施の形態に係る撓み噛合い式歯車装置によると、第1外歯部4aの歯先、第2外歯部4bの歯先はそれぞれ、第1内歯歯車6と第2内歯歯車8との隙間7の径方向内側に対応する部分まで延在するよう構成される。これにより、外歯歯車が内歯歯車に対して軸方向にずれることによる影響を吸収できる。   Further, according to the flexible meshing gear device according to the present embodiment, the tooth tip of the first external gear 4a and the tooth tip of the second external gear 4b are respectively the first internal gear 6 and the second internal gear. It is configured to extend to a portion corresponding to the radially inner side of the gap 7 with the gear 8. Thus, the influence of the external gear being shifted in the axial direction with respect to the internal gear can be absorbed.

(第3の実施の形態)
図5は、第3の実施の形態に係る撓み噛合い式歯車装置の外歯歯車4、第1内歯歯車6および第2内歯歯車8の形状を説明するための図である。図5は、第1の実施の形態の図2に対応する。第1の実施の形態との主な違いは、外歯部および内歯部がともに、歯先の径が軸方向において変化する部分を有する点である。以下、第1の実施の形態に係る撓み噛合い式歯車装置100との相違点を中心に説明する。
Third Embodiment
FIG. 5 is a view for explaining the shapes of the external gear 4, the first internal gear 6 and the second internal gear 8 of the flexible meshed gear device according to the third embodiment. FIG. 5 corresponds to FIG. 2 of the first embodiment. The main difference from the first embodiment is that both the external teeth and the internal teeth have a portion where the diameter of the tooth tip changes in the axial direction. Hereinafter, differences from the flexible meshing gear device 100 according to the first embodiment will be mainly described.

第1外歯部4aの歯先は、第1最外径部4a1と、第1の実施の形態と同様の第1外側減少部4a2と、を有する。すなわち、第1外歯部4aの歯先は第1内側減少部を有さず、代わりに第1最外径部4a1が、中心線C1よりも外側、言い換えると第1外歯部4aと第1内歯部6aとの噛み合い範囲の軸方向における中央よりも外側、さらに言い換えると第1内歯部6aの歯先の軸方向中央よりも外側の位置から、第2外歯部4bの歯先に接続する位置まで、すなわち第1内歯歯車6と第2内歯歯車8との隙間7の径方向内側に対応する部分まで軸方向に延在する。なお、第1外歯部4aの歯先は、第1内側減少部を有していてもよい。   The tooth tip of the first external tooth portion 4a has a first outermost diameter portion 4a1 and a first outer reduced portion 4a2 similar to that of the first embodiment. That is, the tips of the first external teeth 4a do not have the first inner decreasing portions, and instead, the first outermost diameter portion 4a1 is outside the center line C1, in other words, the first external teeth 4a and the first external teeth 4a. 1 from the position outside the center in the axial direction of the meshing range with the internal tooth portion 6a, in other words, from the position outside the axial center of the tooth tip of the first internal tooth portion 6a, the tooth tip of the second external tooth portion 4b It extends in the axial direction up to the position where it is connected, that is, to a portion corresponding to the radially inner side of the gap 7 between the first internal gear 6 and the second internal gear 8. The tips of the first external teeth 4a may have a first inner reduced portion.

第2外歯部4bの歯先は、第2最外径部4b1と、第1の実施の形態と同様の第2外側減少部4b2と、を有する。すなわち、第2外歯部4bの歯先は第2内側減少部を有さず、代わりに第2最外径部4b1が、中心線C2よりも外側、言い換えると第2外歯部4bと第2内歯部8aとの噛み合い範囲の軸方向における中央よりも外側、さらに言い換えると第2内歯部8aの歯先の軸方向中央よりも外側の位置から、第1外歯部4aの歯先に接続する位置まで、すなわち第1内歯歯車6と第2内歯歯車8との隙間7の径方向内側に対応する部分まで軸方向に延在する。なお、第2外歯部4bの歯先は、第2内側減少部を有していてもよい。   The tooth tip of the second external tooth portion 4b has a second outermost diameter portion 4b1 and a second outer reduced portion 4b2 similar to the first embodiment. That is, the tooth tip of the second external gear 4b does not have the second inner reduced portion, and instead the second outermost diameter portion 4b1 is outside the center line C2, in other words, the second external gear 4b and the second external gear 4b The tooth tip of the first external gear 4a from the position outside the center in the axial direction of the meshing range with the internal gear 8a, in other words, outside the axial center of the tooth tip of the second internal gear 8a It extends in the axial direction up to the position where it is connected, that is, to a portion corresponding to the radially inner side of the gap 7 between the first internal gear 6 and the second internal gear 8. The tips of the second external teeth 4 b may have a second inner reduced portion.

第1内歯部6aの歯先は、第1最内径部6a1と、第2の実施の形態と同様の第1内側増大部6a3と、を有する。すなわち、第1内歯部6aの歯先は第1外側増大部を有さず、代わりに第1最内径部6a1が、中心線C1よりも外側、すなわち第1外歯部4aの歯先の軸方向中央よりも外側の位置から軸方向外側に延在する。なお、第1内歯部6aの歯先は、第1外側増大部を有していてもよい。   The tooth tip of the first internal tooth portion 6a has a first innermost diameter portion 6a1 and a first inner increased portion 6a3 similar to that of the second embodiment. That is, the tooth tip of the first internal tooth portion 6a does not have the first outer increased portion, and instead, the first innermost diameter portion 6a1 is outside the center line C1, ie, the tooth tip of the first outer tooth portion 4a. It extends axially outward from a position outside the axial center. The tip of the first internal tooth portion 6a may have a first outer increased portion.

第2内歯部8aの歯先は、第2最内径部8a1と、第2の実施の形態と同様の第2内側増大部8a3と、を有する。すなわち、第2内歯部8aの歯先は第2外側増大部を有さず、代わりに第1最内径部6a1が、中心線C2よりも外側、すなわち第2外歯部4bの歯先の軸方向中央よりも外側の位置から軸方向外側に延在する。なお、第2内歯部8aの歯先は、第2外側増大部を有していてもよい。   The tooth tip of the second internal tooth portion 8a has a second innermost diameter portion 8a1 and a second inner enlarged portion 8a3 similar to the second embodiment. That is, the tooth tip of the second internal tooth portion 8a does not have the second outer increase portion, and instead, the first innermost diameter portion 6a1 is outside the center line C2, ie, the tooth tip of the second outer tooth portion 4b. It extends axially outward from a position outside the axial center. The tip of the second internal tooth portion 8a may have a second outer increase portion.

第1最外径部4a1と第1外側減少部4a2との境界の軸方向における位置は、第1最内径部6a1と第1内側増大部6a3との境界の軸方向における位置と実質的に一致する。また、これらの境界は、中心線C1よりも外側、言い換えると第1外歯部4aと第1内歯部6aとの噛み合い範囲の軸方向における中央よりも外側、さらに言い換えると第1内歯部6aの歯先の軸方向中央よりも外側に位置する。本実施の形態ではさらに、これらの境界は、第1外歯部4aの歯先の軸方向中央よりも外側に位置する。   The axial position of the boundary between the first outermost diameter portion 4a1 and the first outer reduced portion 4a2 substantially coincides with the axial position of the boundary between the first innermost diameter portion 6a1 and the first inner expanded portion 6a3. Do. Further, these boundaries are outside the center line C1, in other words, outside the center in the axial direction of the meshing range of the first external teeth 4a and the first internal teeth 6a, in other words, the first internal teeth It is located outside the axial center of the tip of 6a. Furthermore, in the present embodiment, these boundaries are located outside the axial center of the tooth tips of the first external teeth 4a.

同様に、第2最外径部4b1と第2外側減少部4b2との境界の軸方向における位置は、第2最内径部8a1と第2内側増大部8a3との境界の軸方向における位置と実質的に一致する。また、これらの境界は、中心線C2よりも外側、言い換えると第2外歯部4bと第2内歯部8aとの噛み合い範囲の軸方向における中央よりも外側に、さらに言い換えると第2内歯部8aの歯先の軸方向中央よりも外側に位置する。本実施の形態ではさらに、これらの境界は、第2外歯部4bの歯先の軸方向中央よりも外側に位置する。   Similarly, the axial position of the boundary between the second outermost diameter portion 4b1 and the second outer reduction portion 4b2 is substantially the same as the axial position of the boundary between the second inner diameter portion 8a1 and the second inner expansion portion 8a3. Match. Further, these boundaries are outside the center line C2, in other words, outside the center in the axial direction of the meshing range of the second external teeth 4b and the second internal teeth 8a, in other words, the second internal teeth It is located outside the axial center of the tip of the portion 8a. Furthermore, in the present embodiment, these boundaries are located outside the axial center of the tip of the second external teeth 4b.

本実施の形態に係る撓み噛合い式歯車装置によると、外歯部の歯先は、第1の実施の形態と同様に、外側減少部を有する。一方、外歯部の歯先は、第1の実施の形態とは異なり、内側減少部は有しない。しかしながら代わりに、内歯部の歯先が内側増大部を有する。これにより、本実施の形態に係る撓み噛合い式歯車装置によると、第1の実施の形態に係る撓み噛合い式歯車装置100によって奏される作用効果と同様の作用効果が奏される。   According to the flexible meshing gear device of the present embodiment, the tooth tips of the external teeth have an outer reduction portion as in the first embodiment. On the other hand, unlike the first embodiment, the tips of the external teeth do not have an inner reduction portion. However, instead, the tips of the internal teeth have an inner increase. Thereby, according to the flexible meshing gear device according to the present embodiment, the same operation and effect as those exhibited by the flexible meshing gear device 100 according to the first embodiment can be obtained.

(第4の実施の形態)
図6は、第4の実施の形態に係る撓み噛合い式歯車装置の外歯歯車4、第1内歯歯車6および第2内歯歯車8の形状を説明するための図である。図6は、第1の実施の形態の図2に対応する。第1の実施の形態との主な違いは、外歯部および内歯部がともに、歯先の径が軸方向において変化する部分を有する点である。以下、第1の実施の形態に係る撓み噛合い式歯車装置100との相違点を中心に説明する。
Fourth Embodiment
FIG. 6 is a view for explaining the shapes of the external gear 4, the first internal gear 6, and the second internal gear 8 of the flexible meshed gear device according to the fourth embodiment. FIG. 6 corresponds to FIG. 2 of the first embodiment. The main difference from the first embodiment is that both the external teeth and the internal teeth have a portion where the diameter of the tooth tip changes in the axial direction. Hereinafter, differences from the flexible meshing gear device 100 according to the first embodiment will be mainly described.

第1外歯部4aの歯先は、第1最外径部4a1と、第1の実施の形態と同様の第1内側減少部4a3と、を有する。すなわち、第1外歯部4aの歯先は第1外側減少部を有さず、代わりに第1最外径部4a1が、中心線C1よりも外側、言い換えると第1外歯部4aと第1内歯部6aとの噛み合い範囲の軸方向における中央よりも外側、さらに言い換えると第1内歯部6aの歯先の軸方向中央よりも外側の位置から軸方向外側に延在する。なお、第1外歯部4aの歯先は、第1外側減少部を有していてもよい。   The tooth tip of the first external tooth portion 4a has a first outermost diameter portion 4a1 and a first inner reduced portion 4a3 similar to the first embodiment. That is, the tip of the first external gear 4a does not have the first outer reduction portion, and instead the first outermost diameter portion 4a1 is outside the center line C1, in other words, the first external gear 4a and the first external gear 4a. It extends axially outward from a position outside the center in the axial direction of the meshing range with the internal tooth portion 6a, in other words outside the axial center of the tip of the first internal tooth portion 6a. The tips of the first external teeth 4a may have a first outer reduction portion.

第2外歯部4bの歯先は、第2最外径部4b1と、第1の実施の形態と同様の第2内側減少部4b3と、を有する。すなわち、第2外歯部4bの歯先は第2外側減少部を有さず、代わりに第2最外径部4b1が、中心線C2よりも外側、言い換えると第2外歯部4bと第2内歯部8aとの噛み合い範囲の軸方向における中央よりも外側、さらに言い換えると第2内歯部8aの歯先の軸方向中央よりも外側の位置から軸方向外側に延在する。なお、第2外歯部4bの歯先は、第2外側減少部を有していてもよい。   The tooth tip of the second external tooth portion 4b has a second outermost diameter portion 4b1 and a second inner reduced portion 4b3 similar to that of the first embodiment. That is, the tip of the second external gear 4b does not have the second outer reduction portion, and instead, the second outermost diameter portion 4b1 is outside the center line C2, in other words, the second external gear 4b and the second external gear 4b. It extends axially outward from a position outside the center in the axial direction of the meshing range with the internal teeth 8a, in other words, outside the axial center of the tooth tips of the second internal teeth 8a. In addition, the tooth tip of the 2nd external tooth part 4b may have the 2nd outside reduction part.

第1内歯部6aの歯先は、第1最内径部6a1と、第2の実施の形態と同様の第1外側増大部6a2と、を有する。すなわち、第1内歯部6aの歯先は第1内側増大部を有さず、代わりに第1最内径部6a1が、中心線C1よりも外側、言い換えると第1外歯部4aと第1内歯部6aとの噛み合い範囲の軸方向における中央よりも外側、さらに言い換えると第1内歯部6aの歯先の軸方向中央よりも外側の位置から軸方向内側に延在する。なお、第1内歯部6aの歯先は、第1内側増大部を有していてもよい。   The tooth tip of the first internal tooth portion 6a has a first innermost diameter portion 6a1 and a first outer increased portion 6a2 similar to that of the second embodiment. That is, the tip of the first internal tooth portion 6a does not have the first inner increase portion, and instead, the first innermost diameter portion 6a1 is outside the center line C1, in other words, the first external tooth portion 4a and the first external tooth portion 4a. It extends axially inward from a position outside the center in the axial direction of the meshing range with the internal tooth portion 6a, in other words outside the axial center of the tooth tip of the first internal tooth portion 6a. The tips of the first internal teeth 6a may have a first inner increased portion.

第2内歯部8aの歯先は、第2最内径部8a1と、第2の実施の形態と同様の第2外側増大部8a2と、を有する。すなわち、第2内歯部8aの歯先は第2内側増大部を有さず、代わりに第2最内径部8a1が、中心線C2よりも外側、言い換えると第2外歯部4bと第2内歯部8aとの噛み合い範囲の軸方向における中央よりも外側、さらに言い換えると第2内歯部8aの歯先の軸方向中央よりも外側の位置から軸方向内側に延在する。なお、第2内歯部8aの歯先は、第2内側増大部を有していてもよい。   The tooth tip of the second internal tooth portion 8a has a second innermost diameter portion 8a1 and a second outer increase portion 8a2 similar to that of the second embodiment. That is, the tip of the second internal tooth portion 8a does not have the second inner increase portion, and instead, the second innermost diameter portion 8a1 is outside the center line C2, in other words, the second external tooth portion 4b and the second external tooth portion 4b. It extends axially inward from a position outside the center in the axial direction of the meshing range with the internal tooth portion 8a, and in other words outside the axial center of the tooth tip of the second internal tooth portion 8a. The tip of the second internal tooth portion 8a may have a second inner increased portion.

第1最外径部4a1と第1内側減少部4a3との境界の軸方向における位置は、第1最内径部6a1と第1外側増大部6a2との境界の軸方向における位置と実質的に一致する。また、これらの境界は、中心線C1よりも外側、言い換えると第1外歯部4aと第1内歯部6aとの噛み合い範囲の軸方向における中央よりも外側、さらに言い換えると第1内歯部6aの歯先の軸方向中央よりも外側に位置する。本実施の形態ではさらに、これらの境界は、第1外歯部4aの歯先の軸方向中央よりも外側に位置する。   The axial position of the boundary between the first outermost diameter portion 4a1 and the first inner reduced portion 4a3 substantially matches the axial position of the boundary between the first innermost diameter portion 6a1 and the first outer increased portion 6a2. Do. Further, these boundaries are outside the center line C1, in other words, outside the center in the axial direction of the meshing range of the first external teeth 4a and the first internal teeth 6a, in other words, the first internal teeth It is located outside the axial center of the tip of 6a. Furthermore, in the present embodiment, these boundaries are located outside the axial center of the tooth tips of the first external teeth 4a.

同様に、第2最外径部4b1と第1内側減少部4a3との境界の軸方向における位置は、第2最内径部8a1と第2外側増大部8a2との境界の軸方向における位置と実質的に一致する。また、これらの境界は、中心線C2よりも外側、言い換えると第2外歯部4bと第2内歯部8aとの噛み合い範囲の軸方向における中央よりも外側、さらに言い換えると第2内歯部8aの歯先の軸方向中央よりも外側に位置する。本実施の形態ではさらに、これらの境界は、第2外歯部4bの歯先の軸方向中央よりも外側に位置する。   Similarly, the position in the axial direction of the boundary between the second outermost diameter portion 4b1 and the first inner reduced portion 4a3 is substantially the same as the position in the axial direction of the boundary between the second innermost diameter portion 8a1 and the second outer increased portion 8a2. Match. Further, these boundaries are outside the center line C2, in other words, outside the center in the axial direction of the meshing range of the second external teeth 4b and the second internal teeth 8a, in other words, the second internal teeth It is located outside the axial center of the tooth tip of 8a. Furthermore, in the present embodiment, these boundaries are located outside the axial center of the tip of the second external teeth 4b.

本実施の形態に係る撓み噛合い式歯車装置によると、外歯部の歯先は、第1の実施の形態と同様に、内側減少部を有する。一方、外歯部の歯先は、第1の実施の形態とは異なり、外側減少部は有しない。しかしながら代わりに、内歯部の歯先が外側増大部を有する。これにより、本実施の形態に係る撓み噛合い式歯車装置によると、第1の実施の形態に係る撓み噛合い式歯車装置100によって奏される作用効果と同様の作用効果が奏される。   According to the flexible meshing gear device of the present embodiment, the tooth tips of the external teeth have an inner reduction portion as in the first embodiment. On the other hand, unlike the first embodiment, the external teeth do not have an outer reduction portion unlike the first embodiment. However, instead, the tips of the internal teeth have an outer increase. Thereby, according to the flexible meshing gear device according to the present embodiment, the same operation and effect as those exhibited by the flexible meshing gear device 100 according to the first embodiment can be obtained.

(第5の実施の形態)
図7は、第5の実施の形態に係る撓み噛合い式歯車装置の外歯歯車4、第1内歯歯車6および第2内歯歯車8の形状を説明するための図である。図7は、第1の実施の形態の図2に対応する。第1の実施の形態との主な違いは、第2外歯部4bの歯先の径だけが軸方向において変化する点である。以下、第1の実施の形態に係る撓み噛合い式歯車装置100との相違点を中心に説明する。
Fifth Embodiment
FIG. 7 is a view for explaining the shapes of the external gear 4, the first internal gear 6, and the second internal gear 8 of the flexible meshed gear device according to the fifth embodiment. FIG. 7 corresponds to FIG. 2 of the first embodiment. The main difference from the first embodiment is that only the diameter of the tips of the second external teeth 4b changes in the axial direction. Hereinafter, differences from the flexible meshing gear device 100 according to the first embodiment will be mainly described.

第1内歯部6aと歯数が異なる第1外歯部4aの歯先は、軸方向において外径が実質的に一定で、かつ、第2外歯部4bの最小外径と同じ外径となるよう構成される。   The external diameter of the tips of the first external teeth 4a different in the number of teeth from the first internal teeth 6a is substantially constant in the axial direction, and is the same as the minimum external diameter of the second external teeth 4b. It is configured to be

第2内歯部8aと歯数が同じである第2外歯部4bの歯先は、第2最外径部4b1と、第2内側減少部4b3と、を有する。すなわち、第2外歯部4bの歯先は、第2外側減少部を有しない。第2最外径部4b1は、軸方向外側の端部に位置する。第2内側減少部4b3は、第2外歯部4bの歯先の軸方向範囲の80%以上を占め(図示の例では、ほぼ100%を占め)、第2最外径部4b1から軸方向内側に向かって連続的に外径が減少するように、より具体的には曲線的に外径が減少するように構成される。   The tooth tip of the second external gear 4b, which has the same number of teeth as the second internal gear 8a, has a second outermost diameter portion 4b1 and a second inner reduced portion 4b3. That is, the tip of the second external gear 4b does not have the second outer reduction portion. The second outermost diameter portion 4b1 is located at the axially outer end. The second inner reduced portion 4b3 occupies 80% or more of the axial range of the tooth tips of the second external teeth 4b (approximately 100% in the illustrated example), and extends axially from the second outermost portion 4b1. More specifically, the outer diameter is configured to decrease as the outer diameter decreases continuously toward the inside.

第1内歯部6aの歯先は、軸方向において内径が実質的に一定になるよう構成される。同様に、第2内歯部8aの歯先は、軸方向において内径が実質的に一定になるよう構成される。   The tips of the first internal teeth 6a are configured such that the inner diameter is substantially constant in the axial direction. Similarly, the tips of the second internal teeth 8a are configured such that the inner diameter is substantially constant in the axial direction.

本実施の形態に係る撓み噛合い式歯車装置によると、第2内歯部8aと歯数が同じである第2外歯部4b、すなわち出力側の歯車である第2外歯部4bの歯先は、第2最外径部4b1から軸方向内側に向かって外径が減少し、かつ、その減少部分(すなわち第2内側減少部4b3)が第2外歯部4bの歯先の軸方向範囲の80%以上を占めるように構成される。これにより、より負荷がかかりやすい出力側の外歯部である第2外歯部4bの歯幅端に生じる片当たり荷重を低減でき、歯車の過度な摩耗を低減できる。   According to the flexible meshing gear device of the present embodiment, the teeth of the second external gear 4b having the same number of teeth as the second internal gear 8a, that is, the teeth of the second external gear 4b which is a gear on the output side The point is that the outer diameter decreases inward in the axial direction from the second outermost diameter portion 4b1, and the reduced portion (that is, the second inner reduced portion 4b3) is in the axial direction of the tooth tip of the second outer tooth 4b. It is configured to occupy 80% or more of the range. As a result, it is possible to reduce the contact load generated at the tooth width end of the second external gear 4b, which is the output-side external gear that is more easily loaded, and to reduce excessive wear of the gear.

また、本実施の形態に係る撓み噛合い式歯車装置によると第1外歯部4aの歯先、第2外歯部4bの歯先(特に第2内側減少部4b3)はそれぞれ、第1内歯歯車6と第2内歯歯車8との隙間7に対応する部分まで延在するよう構成される。これにより、外歯歯車が内歯歯車に対して軸方向にずれることによる影響を吸収できる。   Further, according to the flexible meshing gear device in accordance with the present embodiment, the tooth tips of the first external gear 4a and the tooth tips of the second external gear 4b (in particular, the second inner reduced portion 4b3) respectively It is configured to extend to a portion corresponding to the gap 7 between the tooth gear 6 and the second internal gear 8. Thus, the influence of the external gear being shifted in the axial direction with respect to the internal gear can be absorbed.

(第6の実施の形態)
図8は、第6の実施の形態に係る撓み噛合い式歯車装置の外歯歯車4、第1内歯歯車6および第2内歯歯車8の形状を説明するための図である。図8は、第2の実施の形態の図4に対応する。第2の実施の形態との主な違いは、第2の実施の形態との主な違いは、第2内歯部8aの歯先の径だけが軸方向において変化する点である。以下、第1の実施の形態に係る撓み噛合い式歯車装置100との相違点を中心に説明する。
Sixth Embodiment
FIG. 8 is a view for explaining the shapes of the external gear 4, the first internal gear 6, and the second internal gear 8 of the flexible meshed gear device according to the sixth embodiment. FIG. 8 corresponds to FIG. 4 of the second embodiment. The main difference from the second embodiment is that the main difference from the second embodiment is that only the diameter of the tips of the second internal teeth 8a changes in the axial direction. Hereinafter, differences from the flexible meshing gear device 100 according to the first embodiment will be mainly described.

第1外歯部4aの歯先は、軸方向において外径が実質的に一定になるよう構成される。同様に、第2外歯部4bの歯先は、軸方向において外径が実質的に一定になるよう構成される。   The tips of the first external teeth 4a are configured such that the outer diameter is substantially constant in the axial direction. Similarly, the tips of the second external teeth 4b are configured such that the outer diameter is substantially constant in the axial direction.

第1外歯部4aと歯数が異なる第1内歯部6aの歯先は、軸方向において内径が実質的に一定で、かつ、第2内歯部8aの最小内径と同じ内径となるよう構成される。   The tips of the first internal teeth 6a having a different number of teeth from the first external teeth 4a have an inner diameter substantially constant in the axial direction and have the same inner diameter as the minimum inner diameter of the second inner teeth 8a. Configured

第2外歯部4bと歯数が同じである第2内歯部8aの歯先は、第2最内径部8a1と、第2内側増大部8a3と、を有する。すなわち、第2内歯部8aの歯先は、第2外側増大部を有しない。第2最内径部8a1は、軸方向外側の端部に位置する。第2内側増大部8a3は、第2内歯部8aの歯先の軸方向範囲の80%以上を占め(図示の例では、ほぼ100%を占め)、第2最内径部8a1から軸方向内側に向かって、連続的に内径が増大するように、より具体的には曲線的に内径が増大するように構成される。   The tooth tip of the second internal tooth portion 8a having the same number of teeth as the second external tooth portion 4b has a second innermost diameter portion 8a1 and a second inner increased portion 8a3. That is, the tip of the second internal tooth portion 8a does not have the second outer increase portion. The second innermost diameter portion 8a1 is located at the axially outer end. The second inner increase portion 8a3 occupies 80% or more of the axial range of the tooth tip of the second internal tooth portion 8a (in the illustrated example, approximately 100%), and is axially inner from the second innermost diameter portion 8a1 In order to increase the inner diameter continuously, more specifically, the inner diameter increases in a curved manner.

本実施の形態に係る撓み噛合い式歯車装置によると、第5の実施の形態に係る撓み噛合い式歯車装置によって奏される作用効果と同様の作用効果が奏される。   According to the flexible meshing gear device of the present embodiment, the same operational effects as those achieved by the flexible meshing gear device of the fifth embodiment can be obtained.

以上、実施の形態に係る撓み噛合い式歯車装置について説明した。これらの実施の形態は例示であり、それらの各構成要素や各処理プロセスの組合せにいろいろな変形例が可能なこと、またそうした変形例も本発明の範囲にあることは当業者に理解されるところである。   The flexible meshed gear device according to the embodiment has been described above. It is understood by those skilled in the art that these embodiments are exemplifications, and that various modifications can be made to the combination of each component and each processing process, and such modifications are also within the scope of the present invention. It is a place.

(変形例1)
第1〜第6の実施の形態では、減少部、増大部それぞれの外径や内径が曲線的に減少、増大するよう構成されている場合について説明したが、これに限られず、これらは直線的に減少、増大するよう構成されてもよい。
(Modification 1)
In the first to sixth embodiments, the outer diameter and the inner diameter of each of the decrease portion and the increase portion are configured to decrease and increase in a curved manner, but the present invention is not limited thereto. It may be configured to decrease or increase.

図9は、第1の実施の形態の変形例に係る撓み噛合い式歯車装置の外歯歯車4、第1内歯歯車6および第2内歯歯車8の形状を説明するための図である。図9は第1の実施の形態の図2に対応する。本変形例では、第1外側減少部4a2は軸方向外側に向かって直線的に外径が減少するよう構成され、第1内側減少部4a3は軸方向内側に向かって直線的に外径が減少するよう構成される。また、第2外側減少部4b2は軸方向外側に向かって直線的に外径が減少するよう構成され、第2内側減少部4b3は軸方向内側に向かって直線的に外径が減少するよう構成される。第1内側減少部4a3および第2内側減少部4b3の少なくとも一方は、軸方向に対する傾きが異なる、別の言い方をすると回転軸R(図1参照)とのなす角が異なる、2つの直線部を有する。内側減少部の2つの直線部のうち、外側に位置する直線部すなわち最外径部に近い側の直線部は、内側に位置する直線部すなわち最外径部から遠い側の直線部よりも傾きが小さい、すなわち回転軸Rとのなす角が小さい。なお、図9では、第1内側減少部4a3および第2内側減少部4b3の両方が、傾きが異なる2つの直線部を有する場合を示している。   FIG. 9 is a view for explaining the shapes of the external gear 4, the first internal gear 6, and the second internal gear 8 of the flexible meshed gear device according to a modification of the first embodiment. . FIG. 9 corresponds to FIG. 2 of the first embodiment. In the present modification, the first outer reduction portion 4a2 is configured such that the outer diameter decreases linearly outward in the axial direction, and the first inner reduction portion 4a3 decreases in outer diameter linearly in the axial direction. Configured to In addition, the second outer reduction portion 4b2 is configured to decrease the outer diameter linearly outward in the axial direction, and the second inner reduction portion 4b3 is configured to decrease the outer diameter linearly in the axial direction. Be done. At least one of the first inner reduction portion 4a3 and the second inner reduction portion 4b3 has two straight portions having different inclinations with respect to the axial direction, in other words, different angles with respect to the rotation axis R (see FIG. 1) Have. Of the two straight portions of the inner decreasing portion, the straight portion located on the outer side, that is, the straight portion on the side closer to the outermost diameter portion is inclined more than the straight portion located on the inner side Is small, that is, the angle with the rotation axis R is small. In addition, in FIG. 9, the case where both 1st inner side reduced part 4a3 and 2nd inner side reduced part 4b3 have two linear parts from which inclination differs is shown.

図10は、第2の実施の形態の変形例に係る撓み噛合い式歯車装置の外歯歯車4、第1内歯歯車6および第2内歯歯車8の形状を説明するための図である。図10は第2の実施の形態の図4に対応する。本変形例では、第1外側増大部6a2は軸方向外側に向かって直線的に内径が増大するよう構成され、第1内側増大部6a3は軸方向内側に向かって直線的に内径が増大するよう構成される。また、第2外側増大部8a2は軸方向外側に向かって直線的に内径が増大するよう構成され、第2内側増大部8a3は軸方向内側に向かって直線的に内径が増大するよう構成される。第1内側増大部6a3および第2内側増大部8a3の少なくとも一方は、軸方向に対する傾きが異なる、別の言い方をすると回転軸R(図1参照)とのなす角が異なる、2つの直線部を有する。内側増大部の2つの直線部のうち、外側に位置する直線部すなわち最内径部に近い側の直線部は、内側に位置する直線部すなわち最内径部から遠い側の直線部よりも傾きが小さい、すなわち回転軸Rとのなす角が小さい。なお、図11では、第1内側増大部6a3および第2内側増大部8a3の両方が、傾きが異なる2つの直線部を有する場合を示している。   FIG. 10 is a view for explaining the shapes of the external gear 4, the first internal gear 6, and the second internal gear 8 of the flexible meshed gear device according to the modification of the second embodiment. . FIG. 10 corresponds to FIG. 4 of the second embodiment. In this modification, the first outer increase portion 6a2 is configured such that the inner diameter increases linearly outward in the axial direction, and the first inner increase portion 6a3 increases in inner diameter linearly in the axial direction. Configured Also, the second outer increase portion 8a2 is configured to increase the inner diameter linearly outward in the axial direction, and the second inner increase portion 8a3 is configured to increase the inner diameter linearly in the axial direction. . At least one of the first inner increase portion 6a3 and the second inner increase portion 8a3 has two straight portions having different inclinations with respect to the axial direction, in other words, different angles with respect to the rotation axis R (see FIG. 1) Have. Of the two straight portions of the inner increase portion, the straight portion located on the outer side, ie, the straight portion closer to the innermost diameter portion, has a smaller inclination than the straight portion located on the inner side, ie That is, the angle formed with the rotation axis R is small. In addition, in FIG. 11, the case where both the 1st inside increase part 6a3 and the 2nd inside increase part 8a3 have two linear parts from which inclination differs is shown.

図11は、第3の実施の形態の変形例に係る撓み噛合い式歯車装置の外歯歯車4、第1内歯歯車6および第2内歯歯車8の形状を説明するための図である。図11は第3の実施の形態の図5に対応する。本変形例では、第1外側減少部4a2は軸方向外側に向かって直線的に外径が減少するよう構成され、第1内側増大部6a3は軸方向内側に向かって直線的に内径が増大するように構成される。また、第2外側減少部4b2は軸方向外側に向かって直線的に外径が減少するよう構成され、第2内側増大部8a3は軸方向内側に向かって直線的に内径が増大するように構成される。   FIG. 11 is a view for explaining the shapes of the external gear 4, the first internal gear 6, and the second internal gear 8 of the flexible meshed gear device according to the modification of the third embodiment. . FIG. 11 corresponds to FIG. 5 of the third embodiment. In the present modification, the first outer reduction portion 4a2 is configured such that the outer diameter decreases linearly outward in the axial direction, and the inner diameter of the first inner increase portion 6a3 linearly increases in the axial direction. Configured as. Further, the second outer reduction portion 4b2 is configured to decrease the outer diameter linearly outward in the axial direction, and the second inner increase portion 8a3 is configured to increase the inner diameter linearly in the axial direction. Be done.

図12は、第4の実施の形態の変形例に係る撓み噛合い式歯車装置の外歯歯車4、第1内歯歯車6および第2内歯歯車8の形状を説明するための図である。図12は第4の実施の形態の図6に対応する。本変形例では、第1内側減少部4a3は軸方向内側に向かって直線的に外径が減少するよう構成され、第1外側増大部6a2は軸方向外側に向かって直線的に内径が増大するよう構成される。また、第2内側減少部4b3は軸方向内側に向かって直線的に外径が減少するよう構成され、第2外側増大部8a2は軸方向外側に向かって直線的に内径が増大するよう構成される。   FIG. 12 is a view for explaining the shapes of the external gear 4, the first internal gear 6, and the second internal gear 8 of the flexible meshed gear device according to the modification of the fourth embodiment. . FIG. 12 corresponds to FIG. 6 of the fourth embodiment. In this modification, the first inner reduced portion 4a3 is configured such that the outer diameter decreases linearly inward in the axial direction, and the inner diameter of the first outer increased portion 6a2 linearly increases outward in the axial direction. Configured. Further, the second inner reduced portion 4b3 is configured such that the outer diameter decreases linearly inward in the axial direction, and the second outer increased portion 8a2 is configured such that the inner diameter increases linearly outward in the axial direction. Ru.

図13は、第5の実施の形態の変形例に係る撓み噛合い式歯車装置の外歯歯車4、第1内歯歯車6および第2内歯歯車8の形状を説明するための図である。図13は第5の実施の形態の図7に対応する。本変形例では、第2内側減少部4b3は、第2最外径部4b1から軸方向内側に向かって、直線的に外径が減少するように構成される。   FIG. 13 is a view for explaining the shapes of the external gear 4, the first internal gear 6 and the second internal gear 8 of the flexible meshed gear device according to a modification of the fifth embodiment. . FIG. 13 corresponds to FIG. 7 of the fifth embodiment. In the present modification, the second inner reduced portion 4b3 is configured such that the outer diameter thereof decreases linearly inward in the axial direction from the second outermost diameter portion 4b1.

図14は、第5の実施の形態の別の変形例に係る撓み噛合い式歯車装置の外歯歯車4、第1内歯歯車6および第2内歯歯車8の形状を説明するための図である。図14は第5の実施の形態の図7に対応する。本変形例では、第2内側減少部4b3は、第2最外径部4b1から軸方向内側に向かって、直線的に外径が減少するように構成される。また、本変形例では、第1外歯部4aは、第1最外径部4a1と、第1内側減少部4a3と、を有する。第1最外径部4a1は、軸方向に延在する。第1内側減少部4a3は、第1最外径部4a1から軸方向内側に向かって、直線的に外径が減少する。第1内側減少部4a3は特に、その軸方向寸法D1が、第2内側減少部4b3の軸方向寸法D2よりも小さくなるよう構成される。   FIG. 14 is a view for explaining the shapes of the external gear 4, the first internal gear 6, and the second internal gear 8 of the flexible mesh gear device according to another modification of the fifth embodiment. It is. FIG. 14 corresponds to FIG. 7 of the fifth embodiment. In the present modification, the second inner reduced portion 4b3 is configured such that the outer diameter thereof decreases linearly inward in the axial direction from the second outermost diameter portion 4b1. Further, in the present modification, the first external tooth portion 4a has a first outermost diameter portion 4a1 and a first inner reduced portion 4a3. The first outermost diameter portion 4a1 extends in the axial direction. The outer diameter of the first inner reduced portion 4a3 decreases linearly inward in the axial direction from the first outermost diameter portion 4a1. In particular, the first inner reduction 4a3 is configured such that its axial dimension D1 is smaller than the axial dimension D2 of the second inner reduction 4b3.

図15は、第6の実施の形態の変形例に係る撓み噛合い式歯車装置の外歯歯車4、第1内歯歯車6および第2内歯歯車8の形状を説明するための図である。図15は第6の実施の形態の図8に対応する。本変形例では、第2内側増大部8a3は、第2最内径部8a1から軸方向内側に向かって、直線的に内径が増大するように構成される。   FIG. 15 is a view for explaining the shapes of the external gear 4, the first internal gear 6, and the second internal gear 8 of the flexible meshed gear device according to a modification of the sixth embodiment. . FIG. 15 corresponds to FIG. 8 of the sixth embodiment. In the present modification, the second inner increase portion 8a3 is configured such that the inner diameter increases linearly inward in the axial direction from the second innermost diameter portion 8a1.

図9〜図15の変形例において、各減少部は、軸方向に対する外径の減少割合が上述の式1を満たすように構成され、各増大部は、軸方向に対する内径の増大割合が上述の式2を満たすように構成される。   In the modification of FIGS. 9 to 15, each reduction portion is configured such that the reduction ratio of the outer diameter in the axial direction satisfies the above equation 1, and each increase portion has the above-mentioned increase ratio of the inner diameter It is comprised so that Formula 2 may be satisfy | filled.

図9〜図15の変形例によれば、実施の形態に係る撓み噛合い式歯車装置によって奏される作用効果と同様の作用効果が奏される。加えて、本変形例によれば、直線的な歯先形状の歯部しか加工できない加工機すなわち曲線的な歯先形状の歯部を加工できない加工機を、歯車の製造に使用することができる。   According to the modification of FIGS. 9-15, the effect similar to the effect show | played by the bending mesh type gear apparatus which concerns on embodiment is show | played. In addition, according to this modification, it is possible to use a processing machine capable of processing only straight tooth-shaped teeth, that is, a processing machine which can not process curved tooth-shaped teeth, for manufacturing gears. .

(変形例2)
第1の実施の形態では、第1最外径部4a1および第2最外径部4b1の両方が、対応する外歯部と内歯部との噛み合い範囲の軸方向中央よりも外側に位置する場合について説明したが、これに限られず、第1最外径部4a1および第2最外径部4b1の一方だけが、対応する外歯部と内歯部との噛み合い範囲の軸方向中央よりも外側に位置してもよい。例えば、第2内歯部8aと歯数が同じである第2外歯部4b、すなわち出力側の歯車である第2外歯部4bの第2最外径部4b1だけが、第2外歯部4bと第2内歯部8aとの噛み合い範囲の軸方向中央よりも外側に位置してもよい。
(Modification 2)
In the first embodiment, both of the first outermost diameter portion 4a1 and the second outermost diameter portion 4b1 are located outside the axial center of the meshing range of the corresponding outer teeth portion and the inner teeth portion. Although the case has been described, the present invention is not limited thereto, and only one of the first outermost diameter portion 4a1 and the second outermost diameter portion 4b1 is closer than the axial center of the meshing range between the corresponding outer teeth portion and inner teeth portion. It may be located outside. For example, only the second outer teeth 4b having the same number of teeth as the second inner teeth 8a, that is, only the second outermost diameter portion 4b1 of the second outer teeth 4b that is a gear on the output side are the second outer teeth. You may be located outside the axial direction center of the meshing range of the part 4b and the 2nd internal tooth part 8a.

同様に、第2の実施の形態では、第1最内径部6a1および第2最内径部8a1の両方が、対応する外歯部と内歯部との噛み合い範囲の軸方向中央よりも外側に位置する場合について説明したが、これに限られず、第1最内径部6a1および第2最内径部8a1の一方だけが、対応する外歯部と内歯部との噛み合い範囲の軸方向中央よりも外側に位置してもよい。   Similarly, in the second embodiment, both the first innermost diameter portion 6a1 and the second innermost diameter portion 8a1 are positioned outside the axial center of the meshing range of the corresponding outer teeth portion and the inner teeth portion. However, the present invention is not limited thereto. Only one of the first innermost diameter portion 6a1 and the second innermost diameter portion 8a1 is outside the axial center of the meshing range between the corresponding outer teeth portion and the inner teeth portion. It may be located at

また、第3、第4の実施の形態では、第1外歯部4aおよび第1内歯部6aにおける境界と、第2外歯部4bおよび第2内歯部8aにおける境界の両方が、対応する外歯部と内歯部との噛み合い範囲の軸方向中央よりも外側に位置する場合について説明したが、これに限られず、第1外歯部4aおよび第1内歯部6aにおける境界と、第2外歯部4bおよび第2内歯部8aにおける境界の一方だけが、対応する外歯部と内歯部との噛み合い範囲の軸方向中央よりも外側に位置してもよい。   Further, in the third and fourth embodiments, both the boundaries of the first external teeth 4a and the first internal teeth 6a and the boundaries of the second external teeth 4b and the second internal teeth 8a correspond to each other. However, the present invention is not limited to this, and the boundary between the first external teeth 4a and the first internal teeth 6a, and Only one of the boundaries of the second external teeth 4b and the second internal teeth 8a may be located outside the axial center of the meshing range of the corresponding external teeth and internal teeth.

(変形例3)
第1〜第6の実施の形態および上述の変形例では、内歯部が外歯部よりも軸方向の長さが短い場合について説明したが、これに限られない。外歯部は、内歯部よりも軸方向の長さが短く、軸方向における全範囲で内歯部と噛み合うように構成されてもよい。つまり、外歯部と内歯部との噛み合い範囲の軸方向の長さが外歯部の軸方向の長さと等しくなるよう構成されてもよい。この場合、例えば、第1の実施の形態における各最外径部、第2の実施の形態における各最内径部、第3の実施の形態における最外径部と外側減少部との各境界、および第4の実施の形態における最外径部と内側減少部との各境界は、対応する外歯部と内歯部の噛み合い範囲の軸方向中央よりも外側、言い換えると、対応する外歯部の歯先の軸方向中央よりも外側に位置する。
(Modification 3)
In the first to sixth embodiments and the above-described modified example, although the case where the internal tooth portion has a shorter axial length than the external tooth portion has been described, the present invention is not limited thereto. The external teeth may have a shorter axial length than the internal teeth and may be configured to mesh with the internal teeth in the entire axial direction. That is, the axial length of the meshing range between the external teeth and the internal teeth may be equal to the axial length of the external teeth. In this case, for example, each outermost diameter portion in the first embodiment, each innermost diameter portion in the second embodiment, each boundary between the outermost diameter portion and the outer reduction portion in the third embodiment, Each boundary between the outermost diameter portion and the inner reduction portion in the fourth embodiment is outside the axial center of the meshing range of the corresponding outer teeth portion and the inner teeth portion, in other words, the corresponding outer teeth portion Located outside the axial center of the tip of the tooth.

4 外歯歯車、 4a 第1外歯部、 4b 第2外歯部、 4a1 第1最外径部、 4a2 第1外側減少部、 4a3 第1内側減少部、 6 第1内歯歯車、 8 第2内歯歯車、 22a 起振体、 100 撓み噛合い式歯車装置。   4 External gear, 4a 1st external gear, 4b 2nd external gear, 4a1 1st outermost diameter, 4a 2 1st outer reduction, 4a 3 1st inner reduction, 6 1st internal gear, 8 2 Internal gear, 22a exciter, 100 flexible mesh gear.

Claims (12)

起振体と、前記起振体により撓み変形される外歯歯車と、前記外歯歯車と噛み合う第1内歯歯車と、前記第1内歯歯車と軸方向に並べて配置され、外歯歯車と噛み合う第2内歯歯車と、を備える撓み噛合い式歯車装置であって、
前記外歯歯車は、前記第1内歯歯車と噛み合う第1外歯部と、前記第2内歯歯車と噛み合う第2外歯部と、を有し、
前記第1外歯部の歯先は、外径が最大となる第1最外径部と、前記第1最外径部から軸方向外側に向かって外径が減少する第1外側減少部と、前記第1最外径部から軸方向内側に向かって外径が減少する第1内側減少部と、を有し、
前記第2外歯部の歯先は、外径が最大となる第2最外径部と、前記第2最外径部から軸方向外側に向かって外径が減少する第2外側減少部と、前記第2最外径部から軸方向内側に向かって外径が減少する第2内側減少部と、を有することを特徴とする撓み噛合い式歯車装置。
A generator, an external gear that is elastically deformed by the generator, a first internal gear that meshes with the external gear, and an external gear that are arranged in the axial direction with the first internal gear. And a second meshing internal gear.
The external gear includes a first external gear that meshes with the first internal gear, and a second external gear that meshes with the second internal gear.
The tips of the first external teeth have a first outermost diameter portion where the outer diameter is the largest, and a first outer reduced portion where the outer diameter decreases axially outward from the first outermost diameter portion A first inner decreasing portion whose outer diameter decreases inward in the axial direction from the first outermost diameter portion;
The tooth tips of the second external teeth portion have a second outermost diameter portion where the outer diameter is the largest, and a second outer reduced portion where the outer diameter decreases axially outward from the second outermost diameter portion A flexible meshed gear device, comprising: a second inner reduced portion whose outer diameter decreases inward in the axial direction from the second outermost diameter portion.
前記第1最外径部および前記第2最外径部の少なくとも一方は、互いに噛み合う外歯部および内歯部のうち軸方向幅が小さい方の歯部の軸方向中央よりも外側に位置することを特徴とする請求項1に記載の撓み噛合い式歯車装置。   At least one of the first outermost diameter portion and the second outermost diameter portion is located outside the axial center of the tooth portion having a smaller axial width out of the external tooth portion and the internal tooth portion that mesh with each other A flexible meshed gear device according to claim 1, characterized in that. 前記第1外側減少部、前記第2外側減少部、前記第1内側減少部および前記第2内側減少部は、直線的に外径が減少することを特徴とする請求項1または2に記載の撓み噛合い式歯車装置。   The outer diameter of the first outer reduction portion, the second outer reduction portion, the first inner reduction portion, and the second inner reduction portion decrease linearly. Flexible meshing gear unit. 前記第1内側減少部および前記第2内側減少部の少なくとも一方は、傾きが異なる2つの直線部を有することを特徴とする請求項1から3のいずれかに記載の撓み噛合い式歯車装置。   The flexible meshed gear device according to any one of claims 1 to 3, wherein at least one of the first inner reduction portion and the second inner reduction portion has two straight portions having different inclinations. 前記傾きが異なる2つの直線部のうちの軸方向外側に位置する直線部は、軸方向内側に位置する直線部よりも軸方向に対する傾きが小さいことを特徴とする請求項4に記載の撓み噛合い式歯車装置。   5. The deflection meshing according to claim 4, wherein a straight portion located outside in the axial direction of the two straight portions different in inclination has a smaller inclination with respect to the axial direction than a straight portion located inside in the axial direction. Gear system. 前記第1内側減少部および前記第2内側減少部は、前記第1内歯歯車と前記第2内歯歯車との隙間の径方向内側に対応する部分まで延在するよう構成されることを特徴とする請求項1から5のいずれかに記載の撓み噛合い式歯車装置。   The first inner reduction portion and the second inner reduction portion are configured to extend to a portion corresponding to a radially inner side of a gap between the first internal gear and the second internal gear. The flexible meshed gear device according to any one of claims 1 to 5, wherein: 起振体と、前記起振体により撓み変形される外歯歯車と、前記外歯歯車と噛み合う第1内歯歯車と、前記第1内歯歯車と軸方向に並べて配置され、外歯歯車と噛み合う第2内歯歯車と、を備える撓み噛合い式歯車装置であって、
前記第1内歯歯車の内歯部の歯先は、内径が最小となる第1最内径部と、前記第1最内径部から軸方向外側に向かって内径が増大する第1外側増大部と、前記第1最内径部から軸方向内側に向かって内径が増大する第1内側増大部と、を有し、
前記第2内歯歯車の内歯部の歯先は、内径が最小となる第2最内径部と、前記第2最内径部から軸方向外側に向かって内径が増大する第2外側増大部と、前記第2最内径部から軸方向内側に向かって内径が増大する第2内側増大部と、を有することを特徴とする撓み噛合い式歯車装置。
A generator, an external gear that is elastically deformed by the generator, a first internal gear that meshes with the external gear, and an external gear that are arranged in the axial direction with the first internal gear. And a second meshing internal gear.
The tooth tip of the internal tooth portion of the first internal gear includes a first innermost diameter portion having a minimum inner diameter, and a first outer increasing portion having an inner diameter increasing axially outward from the first inner diameter portion. A first inner increase portion whose inner diameter increases inward in the axial direction from the first innermost diameter portion;
A tooth tip of an internal tooth portion of the second internal gear includes a second innermost diameter portion having a minimum inner diameter, and a second outer increasing portion having an inner diameter increasing outward in the axial direction from the second inner diameter portion. A flexible meshed gear device comprising: a second inner increase portion whose inner diameter increases inward in the axial direction from the second innermost diameter portion.
起振体と、前記起振体により撓み変形される外歯歯車と、前記外歯歯車と噛み合う第1内歯歯車と、前記第1内歯歯車と軸方向に並べて配置され、外歯歯車と噛み合う第2内歯歯車と、を備える撓み噛合い式歯車装置であって、
前記外歯歯車は、前記第1内歯歯車の第1内歯部と噛み合う第1外歯部と、前記第2内歯歯車の第2内歯部と噛み合う第2外歯部と、を有し、
前記第1外歯部の歯先は、外径が最大となる第1最外径部と、前記第1最外径部から軸方向外側に向かって外径が減少する第1外側減少部と、を有し、
前記第2外歯部の歯先は、外径が最大となる第2最外径部と、前記第2最外径部から軸方向外側に向かって外径が減少する第2外側減少部と、を有し、
前記第1内歯部の歯先は、内径が最小となる第1最内径部と、前記第1最内径部から軸方向内側に向かって内径が増大する第1内側増大部と、を有し、
前記第2内歯部の歯先は、内径が最小となる第2最内径部と、前記第2最内径部から軸方向内側に向かって内径が増大する第2内側増大部と、を有することを特徴とする撓み噛合い式歯車装置。
A generator, an external gear that is elastically deformed by the generator, a first internal gear that meshes with the external gear, and an external gear that are arranged in the axial direction with the first internal gear. And a second meshing internal gear.
The external gear includes a first external gear engaging with a first internal gear of the first internal gear, and a second external gear engaging with a second internal gear of the second internal gear. And
The tips of the first external teeth have a first outermost diameter portion where the outer diameter is the largest, and a first outer reduced portion where the outer diameter decreases axially outward from the first outermost diameter portion And have
The tooth tips of the second external teeth portion have a second outermost diameter portion where the outer diameter is the largest, and a second outer reduced portion where the outer diameter decreases axially outward from the second outermost diameter portion And have
The tip of the first internal tooth portion has a first innermost diameter portion with the smallest inner diameter, and a first inner increased diameter portion with the inner diameter increasing inward in the axial direction from the first innermost diameter portion. ,
The tip of the second internal tooth portion has a second innermost diameter portion with the smallest inner diameter, and a second inner increased diameter portion with the inner diameter increasing inward in the axial direction from the second innermost diameter portion. A flexible meshed gear device characterized by
起振体と、前記起振体により撓み変形される外歯歯車と、前記外歯歯車と噛み合う第1内歯歯車と、前記第1内歯歯車と軸方向に並べて配置され、外歯歯車と噛み合う第2内歯歯車と、を備える撓み噛合い式歯車装置であって、
前記外歯歯車は、前記第1内歯歯車の第1内歯部と噛み合う第1外歯部と、前記第2内歯歯車の第2内歯部と噛み合う第2外歯部と、を有し、
前記第1外歯部の歯先は、外径が最大となる第1最外径部と、前記第1最外径部から軸方向内側に向かって外径が減少する第1内側減少部と、を有し、
前記第2外歯部の歯先は、外径が最大となる第2最外径部と、前記第2最外径部から軸方向内側に向かって外径が減少する第2内側減少部と、を有し、
前記第1内歯部の歯先は、内径が最小となる第1最内径部と、前記第1最内径部から軸方向外側に向かって内径が増大する第1外側増大部と、を有し、
前記第2内歯部の歯先は、内径が最小となる第2最内径部と、前記第2最内径部から軸方向外側に向かって内径が増大する第2外側増大部と、を有することを特徴とする撓み噛合い式歯車装置。
A generator, an external gear that is elastically deformed by the generator, a first internal gear that meshes with the external gear, and an external gear that are arranged in the axial direction with the first internal gear. And a second meshing internal gear.
The external gear includes a first external gear engaging with a first internal gear of the first internal gear, and a second external gear engaging with a second internal gear of the second internal gear. And
The tips of the first external teeth have a first outermost diameter portion where the outer diameter is the largest, and a first inner reduced portion where the outer diameter decreases inward in the axial direction from the first outermost diameter portion And have
A tooth tip of the second external tooth portion has a second outermost diameter portion where the outer diameter is maximum, and a second inner reduced portion where the outer diameter decreases inward in the axial direction from the second outermost diameter portion And have
The tip of the first internal tooth portion has a first innermost diameter portion where the inner diameter is the smallest, and a first outer increased diameter portion where the inner diameter increases outward in the axial direction from the first innermost diameter portion. ,
The tooth tip of the second internal tooth portion has a second innermost diameter portion where the inner diameter is the smallest, and a second outer increased diameter portion where the inner diameter increases axially outward from the second innermost diameter portion. A flexible meshed gear device characterized by
起振体と、前記起振体により撓み変形される外歯歯車と、前記外歯歯車と噛み合う第1内歯歯車と、前記第1内歯歯車と軸方向に並べて配置され、外歯歯車と噛み合う第2内歯歯車と、を備える撓み噛合い式歯車装置であって、
前記外歯歯車は、前記第1内歯歯車の第1内歯部と噛み合う第1外歯部であって、前記第1内歯部と歯数が異なる第1外歯部と、前記第2内歯歯車の第2内歯部と噛み合う第2外歯部であって、前記第2内歯部と歯数が同じ第2外歯部と、を有し、
前記第2外歯部の歯先は、外径が最大となる第2最外径部と、前記第2最外径部から軸方向内側に向かって外径が連続的に減少する第2内側減少部と、を有し、
前記第2内側減少部は、前記第2外歯部の歯先の軸方向範囲の80%以上を占めることを特徴とする撓み噛合い式歯車装置。
A generator, an external gear that is elastically deformed by the generator, a first internal gear that meshes with the external gear, and an external gear that are arranged in the axial direction with the first internal gear. And a second meshing internal gear.
The external gear is a first external gear meshing with a first internal gear of the first internal gear, the first external gear having a different number of teeth from the first internal gear, and the second external gear A second external gear engaged with a second internal gear of the internal gear, the second external gear having the same number of teeth as the second internal gear;
The tooth tip of the second external tooth portion has a second outermost diameter portion where the outer diameter is maximum, and a second inner diameter where the outer diameter continuously decreases inward in the axial direction from the second outermost diameter portion And a decreasing portion,
The second gear part according to claim 1, wherein the second inner reduction part occupies 80% or more of the axial range of the tooth tips of the second external teeth.
前記第1外歯部は、外径が最大となる第1最外径部と、前記第1最外径部から軸方向内側に向かって外径が減少する第1内側減少部と、を有し、
前記第1内側減少部は、前記第2内側減少部よりも軸方向寸法が小さいことを特徴とする請求項10に記載の撓み噛合い式歯車装置。
The first external tooth portion has a first outermost diameter portion where the outer diameter is maximized, and a first inner reduced portion where the outer diameter decreases inward in the axial direction from the first outermost diameter portion. And
The flexible meshed gear device according to claim 10, wherein the first inner reduction portion has an axial dimension smaller than that of the second inner reduction portion.
起振体と、前記起振体により撓み変形される外歯歯車と、前記外歯歯車と噛み合う第1内歯歯車と、前記第1内歯歯車と軸方向に並べて配置され、外歯歯車と噛み合う第2内歯歯車と、を備える撓み噛合い式歯車装置であって、
前記内歯歯車は、前記外歯歯車の第2外歯部と噛み合う第2内歯部であって、前記第2外歯部と歯数が同じ第2内歯部を有し、
前記第2内歯部は、内径が最小となる最内径部と、前記最内径部から軸方向内側に向かって外径が連続的に増大する内側増大部を有し、
前記内側増大部は、前記第2内歯部の歯先の軸方向範囲の80%以上を占めることを特徴とする撓み噛合い式歯車装置。
A generator, an external gear that is elastically deformed by the generator, a first internal gear that meshes with the external gear, and an external gear that are arranged in the axial direction with the first internal gear. And a second meshing internal gear.
The internal gear is a second internal gear engaged with a second external gear of the external gear, and has a second internal gear having the same number of teeth as the second external gear.
The second internal tooth portion has an innermost diameter portion where the inner diameter is minimized, and an inner increased portion where the outer diameter continuously increases inward in the axial direction from the innermost diameter portion.
The flexible meshed gear device, wherein the inner increase portion occupies 80% or more of an axial range of a tooth tip of the second internal tooth portion.
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