CN201137669Y - Straight-line-circular arc tooth outline inner gearing pair - Google Patents

Abstract

The utility model provides a line-circular arc tooth outline internal gear drive set, which belongs to the technical field of mechanical transmission. The drive set is formed by an internal gear ring with a line outline and an outer gear wheel which adopts circular arc tooth outline. The line tooth outline of an internal gear wheel mainly depends on the tooth-shaped half angle gama of the internal gear wheel after the mode numbers and the tooth numbers of a gear wheel set are assured, and the value rang is 23-28 degrees. The tooth shape of an outer gear wheel which is meshed with the line-circular arc tooth outline internal gear drive set is a circular arc tooth outline, the radius of the circular arc tooth outline is assured by the circle which is formed by an outer gear wheel conjugate profile equation curvilinear which crosses three points with a tooth top circle of the outer gear wheel, a graduated circle and a root circle. The internal gear drive set can be respectively grinded and processed the hard tooth faces of the internal gear wheel and the outer gear wheel through a shape grinding technique and a grinding technique of the circular arc gear wheel, a grinding wheel dressing which is used to grind is convenient, and the precision is easily guaranteed, thereby the service span of the internal gear wheel set is greatly improved, and the employment of the internal gear wheel set is greatly expanded.

Description

Straight line-circular arc profile internal gear transmission

Technical field:

The utility model belongs to the mechanical transmissioning technology field, is specifically related to a kind of novel straight line-circular arc profile internal gear transmission, and this transmission is used for transmitting movement and moment of torsion between the parallel axes system.

Background technique:

Advantages such as internal gear pair has velocity ratio big, low vibration, low noise, odontotripsis is little, antiscuffing capacity is strong are widely used in planetary train, few tooth difference and zero tooth difference internal gear pair, pivoting support is medium.Improve the performance of internal gear pair, making greater efforts to promote that it applies is one of main direction of gear research.The involute profile internal gear that adopts morely in the internal gear pair is generally processed soft tooth flank gear with gear shaper cutter at present, and is then powerless to hard flank of tooth internal gear.

Summary of the invention:

At the technical problem that exists in the existing internal gear pair processing, the utility model provides a kind of straight line-circular arc profile internal gear transmission.This straight line-circular arc profile internal gear transmission is that internal gear tooth is designed to simple straight-side profile, determine external gear flank profil equation with its engagement, internal gear pair physical dimension computational methods are proposed, ring gear volume in internal gear pair is big, the manufacture cost height, after adopting simple straight-side profile, can go out the hard flank of tooth by the forming method grinding, be used for the grinding wheel dressing convenience of grinding and be easy to guarantee precision, adopt and the most approaching circular arc profile of conjugate profiles with the external gear of its engagement, with the method grinding external gear of grinding circular tooth gear, thus the working life of having improved internal gear pair greatly.

Straight-side profile internal gear pair provided by the utility model is made up of big ring gear and little external gear, and bull gear is if maintain static, and external gear is exactly a planet wheel, and as bull gear rotation output torque, then external gear rotates in the original place as driving wheel.

The profile of tooth of internal gear is a straight-side profile, gets system of coordinates shown in Figure 3, and its equation is:

$\left.\begin{array}{c}{x}_1=-\frac{1}{2}{\mathrm{<figure-callout\; id="1"\; label="mz"\; filenames="Y20072004609600063.png"\; state="\{\{state\}\}">mz</figure-callout>}}_1\sin \frac{\mathrm{\&pi;}}{{2z}_1}-h\sin \mathrm{\&gamma;}+2\mathrm{ht}\sin \mathrm{\&gamma;}\\ {\mathrm{<figure-callout\; id="1"\; label="y"\; filenames="Y20072004609600063.png"\; state="\{\{state\}\}">y</figure-callout>}}_1=\frac{1}{2}\mathrm{<figure-callout\; id="1"\; label="m\; z"\; filenames="Y20072004609600063.png"\; state="\{\{state\}\}">m</figure-callout>}{z}_{}{}_1\cos \frac{\mathrm{\&pi;}}{{2z}_1}-h\cos \mathrm{\&gamma;}+2\mathrm{ht}\cos \mathrm{\&gamma;}\end{array}\right\}---\left(1\right)$

With the external gear flank profil equation of its conjugation be:

$\cos \mathrm{\&psi;}=\frac{x_1\sin \mathrm{\&gamma;}+{\mathrm{<figure-callout\; id="1"\; label="y"\; filenames="Y20072004609600063.png"\; state="\{\{state\}\}">y</figure-callout>}}_1\cos \mathrm{\&gamma;}}{{\mathrm{<figure-callout\; id="1"\; label="r"\; filenames="Y20072004609600063.png"\; state="\{\{state\}\}">r</figure-callout>}}_1}$

In the formula:

T is a continually varying natural number between 0 to 1, and m is a module, z ₁, z ₂Be respectively the inside and outside gear number of teeth, γ is internal gear profile of tooth half-angle (angle of straight-side profile and Y-axis, 23～28 ° of a span), and h is a whole depth.

The curve of external gear flank profil equation (2) and top circle, standard pitch circle, the root circle of external gear meet at 3 points, with these 3 the radius of a circle of being done and home position be the radius and the center of arc of circular arc profile.

The internal gear pair physical dimension is calculated the fundamental relation formula and is seen Table 1.

Table 1 straight line-circular arc profile internal gear pair physical dimension is calculated

By the internal gear pair of said method design, can be that the formed grinding wheel of γ carries out grinding along teeth groove to internal gear with the profile of tooth half-angle, thereby realize the hard flank of toothization.Very complicated with the conjugate profiles curve of the external gear of straight-side profile engagement, there is not ready-made method for grinding, the present invention adopts circular arc profile to replace.The radius and the center of arc that substitute circular arc profile determine (seeing accompanying drawing 4) like this, make the curve of external gear flank profil equation (2) with Pro/E software, and top circle, standard pitch circle, the root circle of external gear, these four curves meet at 3 points (A, B, C 3 points among Fig. 4), do circle with these 3, this radius of a circle and home position are institute and ask, and directly measure with measuring tool in the Pro/E software.In Por/E software, create the external gear conjugate curve,, measure circular arc profile radius and home position easily, and need not to carry out complicated calculating as long as change the curve that local initial conditions just can obtain new tooth profile equation (2) easily from equation.

Replace external gear conjugate profiles curve with this circular arc, the gear pair angular errors that causes generally is not more than 0.02%, carries out grinding with circular tooth gear grinding process external gear wheel, and the gear pair precision can reach 6 grades.

The beneficial effects of the utility model are: utilize said method can design the good New _ Typed Internal Gears transmission of meshing performance, its internal gear profile of tooth be straight-side profile, with the external gear profile of tooth of its engagement be circular arc profile.Ring gear for this New _ Typed Internal Gears transmission, can go out the hard flank of tooth by the forming method grinding, be used for the grinding wheel dressing convenience of grinding and be easy to guarantee precision, technology grinding external gear with the grinding circular tooth gear, thereby improved the working life of internal gear pair greatly, expanded the use of internal gear pair greatly.

Description of drawings:

Fig. 1 straight line-circular arc profile internal gear pair structural representation.

Fig. 2 straight line-circular arc profile internal gear pair engagement driving enlarged diagram.

Fig. 3 straight line-circular arc profile internal gear system of coordinates.

The local enlarged diagram of Fig. 4 straight line-circular arc profile internal gear pair tooth curve

Embodiment:

According to internal gear pair transmission requirement, determined that module m is 3, inside and outside gear number of teeth z ₁, z ₂Be respectively 60,24, preliminary election internal gear profile of tooth half-angle γ is 26 °, addendum coefficient $h_a^{*}=0.9$ , the dedendum of the tooth coefficient $h_f^{*}=1.1$ , tooth root transition arc radius ρ _f=0.2m.So, the flank profil of internal gear is determined by formula (1) in the internal gear pair, the external gear conjugate profiles that is engaged with is determined by equation (2), curve shape is seen Fig. 4, the radius and the center of arc that substitute the circular arc profile of external gear flank profil determine (seeing accompanying drawing 4) like this, make the curve of external gear flank profil equation (2) with Pro/E software, and the top circle of external gear, standard pitch circle, root circle, these four curves meet at three point (A among Fig. 4, B, C 3 points), do circle with these 3, this radius of a circle and home position are institute and ask, and radius of arc is 27.6mm, and center of arc is at Fig. 3 system of coordinates x ₂o ₂y ₂In be (22.88,24.74), the internal gear pair physical dimension is calculated with the formula of table 1, it the results are shown in Table example in 1.Fig. 1 is the threedimensional model mesh schematic representation of gear pair, Fig. 2 straight line-circular arc profile internal gear pair engagement driving enlarged diagram.

The engagement angular errors of this routine internal gear pair is as calculated

The engagement contact ratio is ε=1.345, and the internal gear pair of as seen designing so not only can normal engaged, and has good meshing quality performance, for the sclerosis of the internal gear pair flank of tooth provides may.

Claims (1)

1, a kind of straight line-circular arc profile internal gear transmission is made up of big ring gear and little external gear, it is characterized in that:

A: the internal gear profile of tooth is a straight-side profile, and its straight-side profile is determined by following equation:

$\left.\begin{array}{c}{x}_1=-\frac{1}{2}{\mathrm{mz}}_1\sin \frac{\mathrm{\&pi;}}{{2z}_1}-h\sin \mathrm{\&gamma;}+2\mathrm{ht}\sin \mathrm{\&gamma;}\\ y_1=\frac{1}{2}m{z}_1\cos \frac{\mathrm{\&pi;}}{{2z}_1}-h\cos \mathrm{\&gamma;}+2\mathrm{ht}\cos \mathrm{\&gamma;}\end{array}\right\}---\left(1\right)$

B: the external gear profile of tooth that meshes with internal gear is a circular arc profile, and its circular arc profile is determined by following equation:

In above-mentioned two equations:

$\cos \mathrm{\&psi;}=\frac{x_1\sin \mathrm{\&gamma;}+y_1\cos \mathrm{\&gamma;}}{r_1}$

T is a continually varying natural number between 0 to 1, and m is a module, z ₁, z ₂Be respectively the inside and outside gear number of teeth, γ is an internal gear profile of tooth half-angle, i.e. the angle of straight-side profile and Y-axis, and 23～28 ° of spans, h is a whole depth.

C: the curve of equation (2) and the tooth top garden of external gear, calibration garden, tooth root garden meet at 3 points, with these 3 the radius of a circle of being done and home position be the radius and the center of arc of circular arc profile.

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