Design Method of Tooth Profile Curve of Conjugate Internal Gear Pair
A technology of internal meshing gear and tooth profile curve, which is applied to belts/chains/gears, mechanical equipment, components with teeth, etc. The effect of intuitive meaning and easy analysis
Active Publication Date: 2016-06-08
INTRA ITAL HYDRAULICS FOSHAN SHUNDE
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[0016] The advantage of the above two forms of tooth profile curve equation is that the equation contains parameters that reflect the characteristics of the gear, such as a represents the center distance, φ 1 ,φ 2 They respectively represent the rotation angles of the two gears, etc., but have obvious disadvantages: the equation structure is complex, the calculation is cumbersome, and the meaning is not intuitive
[0019] However, replacing the theoretical tooth profile with a circular arc tooth profile can only have high accuracy when there are many gears, and the error is large when the number of teeth is small, so the scope of use of this method is limited
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[0039] The present invention will be further described below in conjunction with the accompanying drawings and embodiments.
[0040] Such as Figure 1 to Figure 4 As shown, step 1, according to the working conditions and life requirements of the gear pair, take the gear modulus m = 5, and the number of teeth of the external gear and the internal ring gear is Z 1 =13,Z 2 =17. See figure 1 , external gear addendum circle d a =73, dedendum circle d f =53, the thickness of the graduated circular tooth s=5.41, and the half angle of the tooth profile β=26°.
[0041] Step 2. According to the basic parameters of the gear determined in step 1, the slope of the straight line a=tan(90°-26°)=2.05 can be calculated from the half-angle of the tooth profile β=26°. Degree circle diameter d=mz 1 =65, the calculated intercept b=37.9283, the equation of the tooth profile on the left side of the y-axis of the external gear can be obtained (the tooth profile on the right side of the y-axis ...
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The invention relates to a method for designing the tooth profile curve of a linear conjugate internal meshing gear pair, which uses the function optimal approximation theory to design the tooth profile curve of a linear conjugate internal meshing gear pair, including the following steps: determining the gear pair according to the working conditions of the gear pair The basic parameters of the basic parameters, such as modulus, number of teeth, addendum circle, dedendum circle, indexing circle tooth thickness, tooth shape half-angle, etc.; according to the determined basic parameters, the external gear tooth profile is designed as a left-right symmetrical straight line; the external gear Take a series of discrete points on the linear tooth profile; calculate a series of discrete points of the internal ring gear tooth profile conjugated with the linear gear by the tooth profile normal method; select a polynomial to scatter points on the internal ring gear tooth profile in the sense of square measure Make the best approximation to obtain the expression of the tooth profile curve of the internal ring gear; finally give an error estimate; the beneficial effect of the present invention is: the structure of the tooth profile curve expression is simple, the meaning is intuitive, and the transmission characteristics of the gear pair can be analyzed conveniently, such as Calculation of contact stress and slip ratio of gear pairs, etc.
Description
technical field [0001] The invention belongs to the technical field of mechanical transmission, and in particular relates to a method for designing a tooth profile curve of a linear conjugate internal meshing gear pair. Background technique [0002] Straight line conjugate internal meshing gear pair, the outer gear tooth profile is a simple left-right symmetrical straight line, the inner gear tooth profile is a curve conjugate with the outer gear tooth profile, the outer gear and the inner gear are both cylindrical gears, this transmission The most prominent advantages of the method are: small sliding coefficient and low noise. [0003] However, compared with the involute gear pair transmission, the linear conjugate internal meshing gear pair is a special gear transmission mode. At present, there is still a lack of systematic analysis and perfect design methods, especially the design of the tooth profile curve needs to be further studied. [0004] According to the existing ...
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IPC IPC(8): F16H55/17F16H55/08
Inventor 叶春浓朱小化覃建召尤梓标易菁
Owner INTRA ITAL HYDRAULICS FOSHAN SHUNDE