CN112228529B - Full-series string gear and gear set thereof - Google Patents
Full-series string gear and gear set thereof Download PDFInfo
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- CN112228529B CN112228529B CN202011086956.XA CN202011086956A CN112228529B CN 112228529 B CN112228529 B CN 112228529B CN 202011086956 A CN202011086956 A CN 202011086956A CN 112228529 B CN112228529 B CN 112228529B
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16H—GEARING
- F16H55/00—Elements with teeth or friction surfaces for conveying motion; Worms, pulleys or sheaves for gearing mechanisms
- F16H55/02—Toothed members; Worms
- F16H55/17—Toothed wheels
- F16H55/18—Special devices for taking up backlash
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16H—GEARING
- F16H55/00—Elements with teeth or friction surfaces for conveying motion; Worms, pulleys or sheaves for gearing mechanisms
- F16H55/02—Toothed members; Worms
- F16H55/08—Profiling
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Abstract
The invention provides a full string gear, comprising: the string cylindrical gear and the string bevel gear are arranged on the same cylindrical surface, and the addendum lines of all teeth of the string cylindrical gear are arranged on the same cylindrical surface; the addendum lines of all the teeth of the chord line conical gear are on the same conical surface; the novel chord line tooth profile is mainly utilized, is a continuous closed curve with a plurality of waves periodically distributed in a plane, is flexible and changeable in application, is wide in coverage range, and can replace a full-system involute gear.
Description
Technical Field
The invention relates to the technical field of novel tooth type fixed gear, in particular to a full-system string gear and a gear set thereof.
Background
The most used gear tooth profile at present is an involute gear, and the involute gear is easy to design and manufacture, stable in transmission and good in interchangeability, but has the defects of low strength, limited bearing capacity and the like, and cannot meet the transmission requirements of some occasions. In order to design and manufacture gears with better performance, people begin to change tooth profile curves and design circular arc gears, double circular arc gears, micro-segment gears and the like. The tooth profile strength of the circular arc gear and the double circular arc gear is high, the bearing capacity is strong, but the design and the manufacture of the gears are difficult. Compared with the traditional involute gear, the strength and the efficiency of the micro-segment gear are greatly improved, but the theoretical research is still incomplete at present, and the micro-segment gear is not widely applied.
Modern mechanical technology develops towards high speed, heavy load, miniaturization and the like, a traditional gear is difficult to meet new requirements, and a great innovation on a tooth profile curve becomes an important way for improving the performance of the gear. Some designers and teams have begun to apply sinusoidal curves to gear tooth profiles and have used small segments of sinusoidal curves for modification of involute profiles so that the resulting tooth profile is still involute in its entirety. The sine curve is used for replacing the blade curve of the gear machining tool, and the machined tooth profile is discontinuous. How to overcome the defects of the tooth profile and obtain a continuous sine tooth profile curve with good performance becomes a problem to be solved urgently. For example, 200720090263.1 discloses a gear transmission and gear, in which the tooth profile curve is a conventional sine or cosine curve, and the transmission does not reach perfect continuous smooth state without using correct conjugate gears.
The group is used for researching sine movable tooth transmission for many years, bears relevant provincial and national research projects, and aims at the problems. The gear can replace an involute full-system gear, is flexible and changeable in design, easy to manufacture, stable in transmission, high in strength, strong in bearing capacity and wide in application prospect.
Therefore, it is desirable to design a full range string gear and gear set thereof.
Disclosure of Invention
According to the technical problem that the existing tooth profile integral part is still an involute, the transmission of the tooth profile integral part cannot achieve a perfect continuous and stable state, the full-range string gear and the gear set thereof are provided. The novel chord line tooth profile is a continuous closed curve with a plurality of waves and periodically distributed in a plane, is flexible and changeable in application, wide in coverage range and capable of replacing a full-system involute gear.
The technical means adopted by the invention are as follows:
an all string gear, comprising: the string cylindrical gear and the string bevel gear are arranged on the same cylindrical surface, and the addendum lines of all teeth of the string cylindrical gear are arranged on the same cylindrical surface; the addendum lines of all the teeth of the chord line conical gear are on the same conical surface; taking an axial normal section through any point on the axis of the chord line cylindrical gear or the chord line conical gear, wherein the normal section is intersected with the chord line cylindrical gear or the chord line conical gear, and the boundary formed by all teeth on the normal section is a chord line tooth profile; the chord line tooth profile is a continuous closed curve periodically distributed in a plane and provided with a plurality of waves, the types of the curve are three, and the parametric equation of the first chord line tooth profile in the xoy plane rectangular coordinate system is as follows:
the parametric equation of the second chord line tooth profile in the xoy plane rectangular coordinate system is as follows:
the parametric equation of the third chord line tooth profile in the xoy plane rectangular coordinate system is as follows:
in the above formulas:
is an independent variable, x1、y1Is an intermediate variable; a. b, r1、Z1、Z2And a0Are all constant terms, all constant terms are greater than or equal to zero, and Z1And Z2Are all positive integers.
Furthermore, the cylindrical surface where the top lines of all the teeth of the string cylindrical gear are located is unfolded into a plane rectangle along the generatrix, so that the top line of each tooth is a continuous curve on the plane rectangle, and the curve is the top-unfolded line of the string cylindrical gear; the addendum extension line of the chord line cylindrical gear can be a vertical line, an oblique straight line, a broken line, a single-wave arc line and a multi-wave arc line.
Furthermore, the conical surfaces where the addendum lines of all the teeth of the string conical gear are located are unfolded into a plane sector or a ring along the generatrix, so that the addendum line of each tooth is a continuous curve on the plane sector or the ring, and the curve is the addendum unfolding line of the string conical gear; the top expansion line of the gear of the chord line conical gear can be a vertical line, an oblique straight line, a broken line, a single-wave arc line and a multi-wave arc line.
Further, when the extended line of the tooth top of the string cylindrical gear is a vertical line, the string cylindrical gear is a string straight toothed spur gear; when the tooth top expansion line of the string cylindrical gear is an oblique straight line, the string cylindrical gear is a string helical gear; when the addendum expansion line of the string cylindrical gear is a broken line, the string cylindrical gear is a string herringbone cylindrical gear; when the addendum expansion line of the string cylindrical gear is a single wave arc line, the string cylindrical gear is a string arc toothed cylindrical gear; when the addendum extension line of the string cylindrical gear is a multi-wave arc line, the string cylindrical gear is a string wave tooth cylindrical gear.
Further, when the top expansion line of the chord conical gear is a vertical line, the chord conical gear is a chord straight tooth conical gear; when the top expansion line of the chord line conical gear is a diagonal straight line, the chord line conical gear is a chord line helical tooth conical gear; when the top expansion line of the string conical gear is a broken line, the string conical gear is a string herringbone-tooth conical gear; when the top expansion line of the teeth of the chord line conical gear is a single wave arc line, the chord line conical gear is a chord line arc tooth conical gear; when the top expansion line of the chord line conical gear is a multi-wave arc line, the chord line conical gear is a chord line wave tooth conical gear.
Further, the string cylindrical gear may be an internal or external gear; the chordal conical gear may be an internal or external gear.
The invention also provides a full-system string gear set which is characterized by comprising a string duplicate gear, a string multiple gear and a string incomplete gear, wherein the string duplicate gear is formed by combining two string gears, and the two string gears at least comprise one of the string cylindrical gear and the string conical gear; the string multiple gear is composed of three or more string gears, and all the string gears at least comprise one of the string cylindrical gear and the string conical gear; the teeth of the string incomplete gear are distributed on only a part of the rim.
Compared with the prior art, the invention has the following advantages:
1. according to the full-range string gear and the gear set thereof provided by the invention, the tooth profile curve is a closed continuous curve, is different from the traditional segmented and discrete involute tooth profile, and has better meshing characteristics.
2. The full-system string gear and the gear set thereof can eliminate the tooth side clearance when two gears are meshed, and realize high-precision transmission without return difference.
3. The all-system string gear and the gear set thereof provided by the invention have the characteristics of high gear strength, strong bearing capacity and parameterized and serialized design.
4. The invention provides a full-range string gear and a gear set thereof, which have various forms and are suitable for cylindrical gears, conical gears, internal gears, external gears and the like.
Based on the reason, the invention can be widely popularized in the fields of new tooth type fixed tooth gear technology and the like.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings needed to be used in the description of the embodiments or the prior art will be briefly introduced below, and it is obvious that the drawings in the following description are some embodiments of the present invention, and for those skilled in the art, other drawings can be obtained according to these drawings without creative efforts.
Fig. 1 is a schematic view of a string cylindrical gear structure of a full-gear string gear and a gear set thereof according to the present invention.
Fig. 2 is a schematic view of the structure of a string conical gear of a full-gear string gear and a gear set thereof according to the present invention.
Fig. 3 is a schematic view of a first chordal profile spur gear of a full range chordal gear and gear set in accordance with the present invention.
Fig. 4 is a schematic view of a first chordal profile helical cylindrical gear of an all-gear chordal gear and gear set thereof according to the present invention.
Fig. 5 is a schematic structural view of a herringbone-toothed cylindrical gear with a first chord line tooth profile of a full-range chord line gear and a gear set thereof.
Fig. 6 is a schematic view of a first chordal profile curved spur gear of an all-gear chordal gear and gear set of the present invention.
Fig. 7 is a schematic view of a first chordal profile wave-toothed cylindrical gear of an all-gear chordal gear and gear set thereof according to the present invention.
Fig. 8 is a schematic view of a second chordal profile spur gear configuration for a full range chordal gear and gear set in accordance with the present invention.
Fig. 9 is a schematic view of a second chordal profile helical cylindrical gear of an all-gear chordal gear and gear set of the present invention.
Fig. 10 is a schematic view of a herringbone toothed spur gear of a second chordal profile for a full range chordal gear and gear set in accordance with the present invention.
Fig. 11 is a schematic view of a second chordal profile curved spur gear of an all-gear chordal gear and gear set of the present invention.
Fig. 12 is a schematic view of a second chordal profile wave spur gear of the all-gear chordal gear and gear set of the present invention.
Fig. 13 is a schematic view of a third chordal profile spur gear of an all-gear chordal gear and gear set in accordance with the present invention.
Fig. 14 is a schematic view of a third chordal profile helical cylindrical gear of an all-gear chordal gear and gear set thereof in accordance with the present invention.
Fig. 15 is a schematic view of a third chordal string profile herringbone spur gear configuration for an all-gear chordal string gear and gear set according to the present invention.
Fig. 16 is a schematic view of a third chordal profile spur gear of the all-gear chordal gear and gear set of the present invention.
Fig. 17 is a schematic view of a third chordal profile wave spur gear of an all-gear chordal gear and gear set of the present invention.
Fig. 18 is a schematic view of a first chordal profile straight bevel gear configuration for an all-gear chordal gear and gear set in accordance with the present invention.
Fig. 19 is a schematic view of a first chordal profile helical bevel gear of an all-gear chordal gear and gear set of the present invention.
Fig. 20 is a schematic view of a first chordal profile chevron bevel gear configuration of an all-gear chordal gear and gear set in accordance with the present invention.
Fig. 21 is a schematic view of a first chordal profile curved conical gear configuration of an all-gear chordal gear and gear set thereof in accordance with the present invention.
Fig. 22 is a schematic view of a first chordal profile wave tooth conical gear of an all-gear chordal gear and gear set thereof according to the present invention.
Fig. 23 is a schematic view of a second chordal profile straight bevel gear configuration for an all-gear chordal gear and gear set in accordance with the present invention.
Fig. 24 is a schematic view of a second chordal profile helical bevel gear configuration for an all-gear chordal gear and gear set according to the present invention.
Fig. 25 is a schematic view of a second chordal profile chevron bevel gear configuration of an all-gear chordal gear and gear set of the present invention.
Fig. 26 is a schematic view of a second chordal profile curved conical gear configuration for an all-gear chordal gear and gear set according to the present invention.
Fig. 27 is a schematic view of a second chordal profile wave tooth conical gear of the all-gear chordal gear and gear set of the present invention.
Fig. 28 is a schematic view of a third chordal profile spur conical gear of an all-gear chordal gear and gear set of the present invention.
Fig. 29 is a schematic view of a third chordal profile helically toothed conical gear of an all-gear chordal gear and gear set in accordance with the present invention.
Fig. 30 is a schematic view of a third chordal tooth profile chevron bevel gear configuration of an all-gear chordal gear and gear set thereof in accordance with the present invention.
Fig. 31 is a schematic view of a third chordal profile curved conical gear configuration for an all-gear chordal gear and gear set thereof in accordance with the present invention.
Fig. 32 is a schematic view of a third chordal profile wave tooth conical gear of an all-gear chordal gear and gear set of the present invention.
Fig. 33 is a schematic view of a string dual gear structure of a full-range string gear and a gear set thereof according to the present invention.
Fig. 34 is a schematic view of a string multiple gear structure of a full string gear and its gear set according to the present invention.
In the figure: 1. a string cylindrical gear; 2. a chordal cylindrical gear tooth profile; 3. the addendum line of the string cylindrical gear; 4. the addendum expansion line of the string cylindrical gear; 5. a string cylindrical gear shaft; 6. a string conical gear; 7. a chordal-conical gear tooth profile; 8. a string conical gear tooth top line; 9. the chord line and the conical gear tooth top expansion line; 10. a string-conical gear shaft; 401. the crest of the string spur gear is expanded; 402. the addendum expansion line of the chord helical gear is extended; 403. the chord line is expanded at the top of the curve-tooth cylindrical gear; 404. the addendum expansion line of the string herringbone-tooth cylindrical gear; 405. the crest of the chord wave tooth cylindrical gear is expanded; 901. the chord straight tooth conical gear tooth top expansion line; 902. the top of the conical gear is provided with a chord line helical tooth expansion line; 903. the top of the conical gear is provided with a chord line arc tooth; 904. a chord line herringbone tooth conical gear tooth top expansion line; 905. the top of the conical gear with chord wave teeth is provided with a spread line.
Detailed Description
It should be noted that the embodiments and features of the embodiments may be combined with each other without conflict. The present invention will be described in detail below with reference to the embodiments with reference to the attached drawings.
In order to make the objects, technical solutions and advantages of the embodiments of the present invention clearer, the technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. The following description of at least one exemplary embodiment is merely illustrative in nature and is in no way intended to limit the invention, its application, or uses. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
It is noted that the terminology used herein is for the purpose of describing particular embodiments only and is not intended to be limiting of exemplary embodiments according to the invention. As used herein, the singular forms "a", "an" and "the" are intended to include the plural forms as well, and it should be understood that when the terms "comprises" and/or "comprising" are used in this specification, they specify the presence of stated features, steps, operations, devices, components, and/or combinations thereof, unless the context clearly indicates otherwise.
The relative arrangement of the components and steps, the numerical expressions and numerical values set forth in these embodiments do not limit the scope of the present invention unless specifically stated otherwise. Meanwhile, it should be understood that the sizes of the respective portions shown in the drawings are not drawn in an actual proportional relationship for the convenience of description. Techniques, methods, and apparatus known to those of ordinary skill in the relevant art may not be discussed in detail but are intended to be part of the specification where appropriate. Any specific values in all examples shown and discussed herein are to be construed as exemplary only and not as limiting. Thus, other examples of the exemplary embodiments may have different values. It should be noted that: like reference numbers and letters refer to like items in the following figures, and thus, once an item is defined in one figure, further discussion thereof is not required in subsequent figures.
In the description of the present invention, it is to be understood that the orientation or positional relationship indicated by the directional terms such as "front, rear, upper, lower, left, right", "lateral, vertical, horizontal" and "top, bottom", etc., are generally based on the orientation or positional relationship shown in the drawings, and are used for convenience of description and simplicity of description only, and in the absence of any contrary indication, these directional terms are not intended to indicate and imply that the device or element so referred to must have a particular orientation or be constructed and operated in a particular orientation, and therefore should not be considered as limiting the scope of the present invention: the terms "inner and outer" refer to the inner and outer relative to the profile of the respective component itself.
Spatially relative terms, such as "above … …," "above … …," "above … …," "above," and the like, may be used herein for ease of description to describe one device or feature's spatial relationship to another device or feature as illustrated in the figures. It will be understood that the spatially relative terms are intended to encompass different orientations of the device in use or operation in addition to the orientation depicted in the figures. For example, if a device in the figures is turned over, devices described as "above" or "on" other devices or configurations would then be oriented "below" or "under" the other devices or configurations. Thus, the exemplary term "above … …" can include both an orientation of "above … …" and "below … …". The device may be otherwise variously oriented (rotated 90 degrees or at other orientations) and the spatially relative descriptors used herein interpreted accordingly.
It should be noted that the terms "first", "second", and the like are used to define the components, and are only used for convenience of distinguishing the corresponding components, and the terms have no special meanings unless otherwise stated, and therefore, the scope of the present invention should not be construed as being limited.
As shown in fig. 1-34, the present invention provides a full range string gear, comprising: the string cylindrical gear 1 and the string conical gear 6 are arranged, and the addendum lines of all teeth of the string cylindrical gear 1 are on the same cylindrical surface; the addendum lines of all the teeth of the chord line conical gear 6 are on the same conical surface; taking an axial normal section through any point on the axis of the chord cylindrical gear 1 or the chord conical gear 6, wherein the normal section is intersected with the chord cylindrical gear 1 or the chord conical gear 6, and the boundary formed by all teeth on the normal section is a chord tooth profile; the chord line tooth profile is a continuous closed curve periodically distributed in a plane and provided with a plurality of waves, the types of the curve are three, and the parametric equation of the first chord line tooth profile in the xoy plane rectangular coordinate system is as follows:
the parametric equation of the second chord line tooth profile in the xoy plane rectangular coordinate system is as follows:
the parametric equation of the third chord line tooth profile in the xoy plane rectangular coordinate system is as follows:
in the above formulas:
is an independent variable, x1、y1Is an intermediate variable; a. b, r1、Z1、Z2And a0Are all constant terms, all constant terms are greater than or equal to zero, and Z1And Z2Are all positive integers;
expanding the cylindrical surface on which the addendum lines of all the teeth of the string cylindrical gear 1 are positioned into a plane rectangle along the generatrix, so that the addendum line of each tooth is a continuous curve on the plane rectangle, and the curve is the addendum expansion line of the string cylindrical gear 1; the addendum expansion line of the chord line cylindrical gear 1 can be a vertical line, an oblique straight line, a broken line, a single-wave arc line and a multi-wave arc line; expanding the conical surface where the addendum lines of all the teeth of the chord conical gear 6 are located into a plane sector or a ring along the generatrix of the conical surface, so that the addendum line of each tooth is a continuous curve on the plane sector or the ring, and the curve is the addendum expansion line of the chord conical gear 6; the addendum expansion line of the chord line conical gear 6 can be a vertical line, an oblique straight line, a broken line, a single-wave arc line and a multi-wave arc line; when the tooth top expansion line of the string cylindrical gear 1 is a vertical line, the string cylindrical gear 1 is a string straight toothed spur gear; when the extended line of the tooth top of the string cylindrical gear 1 is a diagonal line, the string cylindrical gear 1 is a string helical gear; when the addendum expansion line of the string cylindrical gear 1 is a broken line, the string cylindrical gear 1 is a string herringbone-tooth cylindrical gear; when the addendum extension line of the string cylindrical gear 1 is a single wave arc line, the string cylindrical gear 1 is a string arc toothed cylindrical gear; when the addendum extension line of the string cylindrical gear 1 is a multi-wave arc line, the string cylindrical gear 1 is a string wave tooth cylindrical gear; when the addendum expansion line of the string conical gear 6 is a vertical line, the string conical gear 6 is a string straight tooth conical gear; when the addendum extension line of the chord line conical gear 6 is a diagonal line, the chord line conical gear 6 is a chord line helical tooth conical gear; when the addendum expansion line of the chord line conical gear 6 is a broken line, the chord line conical gear 6 is a chord line herringbone tooth conical gear; when the addendum extension line of the chord line conical gear 6 is a single wave arc line, the chord line conical gear 6 is a chord line arc tooth conical gear; when the addendum extension line of the chord line conical gear 6 is a multi-wave arc line, the chord line conical gear 6 is a chord line wavy tooth conical gear; the string cylindrical gear 1 may be an internal gear or an external gear; the chordal conical gear 6 may be an internal or external gear.
The invention also provides a full-system string gear set which is characterized by comprising a string duplicate gear, a string multiple gear and a string incomplete gear, wherein the string duplicate gear is formed by combining two string gears, and the two string gears at least comprise one of the string cylindrical gear 1 and the string conical gear 6; the string multiple gear is composed of three or more string gears, and all the string gears at least comprise one of the string cylindrical gear 1 and the string conical gear 6; the teeth of the string incomplete gear are distributed on only a part of the rim.
Example 1
As shown in fig. 1 and 2, the chordal cylindrical gear tooth profile and the chordal cylindrical gear tooth profile 2 may take any one of three curves:
the parametric equation of the first chord line tooth profile in the xoy plane rectangular coordinate system is as follows:
the parametric equation of the second chord line tooth profile in the xoy plane rectangular coordinate system is as follows:
the parametric equation of the third chord line tooth profile in the xoy plane rectangular coordinate system is as follows:
in the above formulas: is independent variable, x1, y1 are intermediate variables; a. b, r1, Z1, Z2, and a0 are constant terms, all constant terms are greater than or equal to zero, and Z1 and Z2 are positive integers.
In fig. 1, a normal section alpha which is intersected with the chord cylindrical gear and is perpendicular to the chord cylindrical gear shaft 5 is made, and the tooth profile curve on the section alpha is one of the three curves; the addendum lines 3 of the string cylindrical gears on all the teeth are unfolded along the generatrix of the cylindrical surface to obtain a plane rectangle, on the plane rectangle, the addendum lines 3 of the string cylindrical gears become addendum unfolding lines 4 of the string cylindrical gears, the addendum unfolding lines 4 of the string cylindrical gears can be straight lines, oblique lines, single-wave arc lines, broken lines and multi-wave arc lines and respectively correspond to the addendum unfolding lines 401 of the string straight-tooth cylindrical gears, the addendum unfolding lines 402 of the string oblique-tooth cylindrical gears, the string arc-tooth cylindrical gears 403, the addendum unfolding lines 404 of the string addendum herringbone cylindrical gears and the addendum unfolding lines 405 of the string wave spur gears. Namely, the crest expansion line 401 of the string straight spur gear is a straight line; the chord line helical cylindrical gear addendum expansion line 402 is an oblique line; the chord curve tooth cylindrical gear addendum expansion line 403 is a single-wave arc line; the chord line herringbone tooth cylindrical gear addendum expansion line 404 is a broken line; the extended line 405 of the chord line wavy tooth cylindrical gear is a multi-wave arc line.
In fig. 2, a normal section β intersecting the chord-conic gear is taken at any position perpendicular to the chord-conic gear shaft 10, and the tooth profile curve on the section β is one of the three curves; the chord line conical gear tooth top lines 8 on all the teeth are unfolded along a conical surface generatrix to obtain a plane sector or a plane ring, on the plane sector or the plane ring, the chord line conical gear tooth top lines 8 become chord line conical gear tooth top unfolding lines 9, the chord line conical gear tooth top unfolding lines 9 can be straight lines, oblique lines, single wave arc lines, broken lines and multiple wave arc lines, and respectively correspond to chord line straight tooth conical gear tooth top unfolding lines 901, chord line oblique tooth conical gear tooth top unfolding lines 902, chord line spiral tooth conical gear tooth top unfolding lines 903, chord line herringbone tooth conical gear tooth top unfolding lines 904 and chord line wavy tooth conical gear tooth top unfolding lines 905. Namely, the chord straight-tooth conical gear tooth top expansion line 901 is a straight line; the chord line helical tooth conical gear tooth top expansion line 902 is a diagonal line; the extended line 903 of the addendum of the chord line spiral bevel gear is a single-wave arc line; the chord line herringbone tooth conical gear tooth top expansion line 904 is a broken line; the extended line 905 of the gear top of the chord line wavy tooth conical gear is a multi-wave arc line.
Example 2
As shown in fig. 3-7, each gear has 49 teeth, the tooth profile curves are the same, the tooth crest expansion lines are different, and the tooth profile curves (unit: mm) are specifically as follows:
example 3
As shown in fig. 8-12, each gear has 50 teeth, the tooth profile curves are the same, the tooth crest expansion lines are different, and the tooth profile curves (unit: mm) are specifically as follows:
example 4
As shown in fig. 13-17, each gear has 46 teeth, the tooth profile curves are the same, the tooth crest expansion lines are different, and the tooth profile curves (unit: mm) are specifically as follows:
example 5
As shown in fig. 18 to 22, each gear has 49 teeth, the big end profile curve is the same, the tooth top expansion line is different, and the big end profile curve (unit: mm) is specifically:
example 6
As shown in fig. 23 to 27, each gear has 46 teeth, the small end profile curves are the same, the addendum expansion lines are different, and the small end profile curves (unit: mm) are specifically:
example 7
As shown in fig. 28 to 32, each gear has 46 teeth, the small end profile curves are the same, the addendum expansion lines are different, and the small end profile curves (unit: mm) are specifically:
example 8
As shown in fig. 33, the present invention takes the form of a dual gear.
Example 9
As shown in fig. 34, the present invention takes the form of a triple gear.
The working principle of the invention is as follows: when the constant terms adopt the same value, the first curve and the second curve are conjugate curves, and the method is suitable for an internal gear mechanism; the first curve and the third curve are conjugate curves, and the gear mechanism is suitable for the external gear mechanism.
Compared with traditional gear mechanisms such as involute gears, circular arc gears, double circular arc gears and micro-segment gears, when the string gears form the gear mechanism for transmission, as the tooth profiles of the string gears are continuous and the gear teeth are in continuous and smooth transition, the transmission is more stable, the tooth side gaps can be eliminated, and the ultra-precise transmission is realized.
Finally, it should be noted that: the above embodiments are only used to illustrate the technical solution of the present invention, and not to limit the same; while the invention has been described in detail and with reference to the foregoing embodiments, it will be understood by those skilled in the art that: the technical solutions described in the foregoing embodiments may still be modified, or some or all of the technical features may be equivalently replaced; and the modifications or the substitutions do not make the essence of the corresponding technical solutions depart from the scope of the technical solutions of the embodiments of the present invention.
Claims (7)
1. An all string gear, comprising: the string cylindrical gear and the string bevel gear are arranged on the same cylindrical surface, and the addendum lines of all teeth of the string cylindrical gear are arranged on the same cylindrical surface; the addendum lines of all the teeth of the chord line conical gear are on the same conical surface; taking an axial normal section through any point on the axis of the chord line cylindrical gear or the chord line conical gear, wherein the normal section is intersected with the chord line cylindrical gear or the chord line conical gear, and the boundary formed by all teeth on the normal section is a chord line tooth profile; the chord line tooth profile is a continuous closed curve periodically distributed in a plane and provided with a plurality of waves, the types of the curve are three, and the parametric equation of the first chord line tooth profile in the xoy plane rectangular coordinate system is as follows:
the parametric equation of the second chord line tooth profile in the xoy plane rectangular coordinate system is as follows:
the parametric equation of the third chord line tooth profile in the xoy plane rectangular coordinate system is as follows:
in the above formulas:
is an independent variable, x1、y1Is an intermediate variable; a. b, r1、Z1、Z2And a0Are all constant terms, all constant terms are greater than or equal to zero, and Z1And Z2Are all positive integers.
2. A full string gear according to claim 1, wherein the cylindrical surface on which the addendum lines of all the teeth of said string spur gear lie is developed into a plane rectangle along the generatrix thereof, and the addendum line of each tooth is a continuous curve on the plane rectangle, and the curve is the addendum development line of said string spur gear; the addendum extension line of the chord line cylindrical gear can be a vertical line, an oblique straight line, a broken line, a single-wave arc line and a multi-wave arc line.
3. A full string gear according to claim 1, wherein the conic surface on which the addendum lines of all the teeth of said string-conical gear lie is developed into a planar sector or ring along the generatrix thereof, and the addendum line of each tooth is a continuous curve on the planar sector or ring, and the curve is the developed line of the addendum line of the string-conical gear; the top expansion line of the gear of the chord line conical gear can be a vertical line, an oblique straight line, a broken line, a single-wave arc line and a multi-wave arc line.
4. The all string gear according to claim 1, wherein when the extended addendum line of the string spur gear is a vertical line, the string spur gear is a string spur gear; when the tooth top expansion line of the string cylindrical gear is an oblique straight line, the string cylindrical gear is a string helical gear; when the addendum expansion line of the string cylindrical gear is a broken line, the string cylindrical gear is a string herringbone cylindrical gear; when the addendum expansion line of the string cylindrical gear is a single wave arc line, the string cylindrical gear is a string arc toothed cylindrical gear; when the addendum extension line of the string cylindrical gear is a multi-wave arc line, the string cylindrical gear is a string wave tooth cylindrical gear.
5. A full string gear according to claim 1 wherein said string conical gear is a string straight bevel gear when the tip development of said string conical gear is a vertical line; when the top expansion line of the chord line conical gear is a diagonal straight line, the chord line conical gear is a chord line helical tooth conical gear; when the top expansion line of the string conical gear is a broken line, the string conical gear is a string herringbone-tooth conical gear; when the top expansion line of the teeth of the chord line conical gear is a single wave arc line, the chord line conical gear is a chord line arc tooth conical gear; when the top expansion line of the chord line conical gear is a multi-wave arc line, the chord line conical gear is a chord line wave tooth conical gear.
6. The all string gear of claim 1, wherein said string spur gear is an internal gear or an external gear; the chordal conical gear may be an internal or external gear.
7. A gear set comprising a full string gear according to any of claims 1 to 6, comprising a string duplex gear, a string multiplex gear, and a string partial gear, wherein said string duplex gear is formed by combining two string gears, and said two string gears comprise at least one of said string cylindrical gear and said string conical gear; the string multiple gear is composed of three or more string gears, and all the string gears at least comprise one of the string cylindrical gear and the string conical gear; the teeth of the string incomplete gear are distributed on only a part of the rim.
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| CN202011086956.XA CN112228529B (en) | 2020-10-12 | 2020-10-12 | Full-series string gear and gear set thereof |
| JP2021167536A JP6978146B1 (en) | 2020-10-12 | 2021-10-12 | All series of sine gears, gear trains, sine gear tooth profiles and their gear pairs |
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| CN202011086956.XA CN112228529B (en) | 2020-10-12 | 2020-10-12 | Full-series string gear and gear set thereof |
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| CN112228529B true CN112228529B (en) | 2021-09-28 |
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| CN118088648A (en) * | 2024-04-28 | 2024-05-28 | 苏州大学 | Drum-shaped herringbone tooth bevel gear pair and design method and application thereof |
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