Tooth surface contact of spiral bevel gear based on genetic algorithm

The transmission performance of spiral bevel gear pair 1 is mainly manifested in the angle of tooth surface contact trace, the size of contact area and transmission error, which can be corrected by adjusting the initial processing parameters of the machine tool. Argyris, a foreign scholar, used an integrated computer optimization method to analyze the stress between the teeth of spiral bevel gears. Artoni et al. Proposed an automatic program to optimize the tooth contact area under loading. The program can identify the shape of the contact area pattern and optimize it, so as to obtain and determine the optimized machine parameters. In order to minimize LTE and reduce contact pressure, Hongzhi y et al. Used a novel method to systematically define the optimal tooth surface modification, and constrained the loaded contact area within the specified area of the tooth surface to avoid any edge or angular contact. A new method for generating the optimal tooth surface of spiral bevel gears is presented by samani et al.

Through the constant adjustment of the control parameters of the small wheel, Yang Lin, a domestic scholar, finally made the actual contact area and transmission error reach a more ideal state. Wang Qi studied the establishment and solution of mathematical model for multi-objective optimization of loading performance of spiral bevel gears. Zhang Weiqing et al. Proposed a control method of contact characteristics of spiral bevel gears based on conjugate difference surface. Based on machine vision technology, Liu Weiping obtained the tooth surface contact area of spiral bevel gear quickly, and evaluated the gear quality by calculating the deviation degree of tooth surface contact area from the tooth surface center and the two-dimensional fractal dimension of tooth surface contact area. Zhou kaihong established the variational inequality model of the overall optimization design of the point meshing tooth surface based on the experimental data of the loading contact of the point meshing tooth surface. The traditional tooth contact analysis (TCA) technology has many defects, such as many adjustment parameters of machine tool, unclear control objectives and not including transmission error optimization.

(1) Based on genetic algorithm, a global optimization algorithm for the contact area and transmission error curve of spiral bevel gear in rotary forging machine is proposed, with the instantaneous contact ellipse long half axis, contact line direction angle and transmission error curve intersection ordinate as the optimization objectives The size of tooth contact area and the position of intersection of transmission error curve are in reasonable range.

(2) By establishing the finite element model of the optimized spiral bevel gear pair system and analyzing the transient contact characteristics under load, the results show that the load distribution on the tooth surface is uniform and stable, and the contact area on the tooth surface is basically elliptical. The overall change trend of the transmission error curve is basically consistent with the optimized theoretical transmission error curve.

In order to improve the performance of spiral bevel gear of rotary forging machine, a global optimization design method based on genetic algorithm for the contact area and transmission error curve of spiral bevel gear is proposed.