Tooth shape optimization design method for linear-circular arc tooth outline internal engaged cylindrical gear pair

Abstract

The invention discloses a tooth shape optimization design method for a linear-circular arc tooth outline internal engaged cylindrical gear pair. The designed gear pair consists of a linear tooth outline internal gear ring and a circular arc tooth outline external gear, wherein the internal gear pair is a cylindrical straight gear. The method comprises the following steps of: determining the modulus and the tooth number of the gear pair according to the working condition of the gear pair, determining tooth tip circles, reference circles and tooth root circles of the internal and external gears of the gear pair, then designing the tooth outline of the internal gear as a simple linear tooth outline, and determining the tooth shape parameters of the circular arc tooth outline of the external gear, namely circular arc radius and circular arc center position of the circular arc tooth outline by using an optimization design method for replacing the circular arc tooth outline for minimum engaged transmission error caused by the conjugate tooth outline of the external gear. The method has the advantages that: the conjugate tooth outline of the external gear can be fully replaced by the circular arc tooth outline, hard tooth faces of the internal and external gears of the internal gear pair can be ground and processed by a mold grinding process and a grinding process of the circular arc gear respectively, and the precision can reach the sixth level.

Description

technical field [0001] The invention belongs to the technical field of mechanical transmission, and in particular relates to an optimal design method for the tooth shape of a straight-arc tooth profile internal meshing cylindrical gear pair applied in a mechanical transmission system. Background technique [0002] The internal gear pair has the advantages of large transmission ratio, low vibration, low noise, small tooth wear, strong anti-gluing ability, etc., and is widely used in planetary gear transmission systems, internal gear pairs with small tooth difference and zero tooth difference, and slewing bearings. Improving the performance of internal gear pairs and vigorously promoting their popularization and application are one of the main directions of gear research. At present, involute tooth profiles are mostly used in internal gear pairs. Because there are few internal gear grinding machine tools in China, and the corresponding imported machine tools are expensive, it ...

AI Technical Summary

Problems solved by technology

[0003] The internal gear of the internal gear pair adopts a linear tooth profile, and the tooth profile of the external gear meshing with it cannot be ignored, because the load-carrying capacity of the gear is closely related to the tooth shape accuracy and pitch error, and the external gear meshing with the linear tooth profile The tooth profile is a conjugate curve, which is very difficult to process and is basically not used. At present, the relevant research is that in the patent application number 200720046096.0 "straight-arc tooth profile internal gear transmission pair", the meshing with the linear tooth profile is The circular-arc tooth profile can borrow the processing technology of the circular-arc external gear, but the circular-arc tooth profile is determined by the three points where the conjugate tooth profile of the external gear intersects the addendum circle, the index circle, and the dedendum circle of the external gear. There is a certain error in replacing the conjugate tooth profile of the external gear. In the patent application number 200910064116.0 "Straight-line-involute tooth profile internal meshing cylindrical gear pair", the external gear adopts the same modulus involute tooth profile, and the The linear tooth profile meshing with the involute tooth profile should be a rack, so it is obvious to deal with its tooth shape error

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