渐开线圆柱齿轮接触分析计算与仿真研究  

Contact calculation and simulation analysis of the involute cylindrical gear

作　　者：吕宏展[1] 侯志勇 王君政 王羽达 Lü Hongzhan;Hou Zhiyong;Wang Junzheng;Wang Yuda(College of Mechanical Engineering,Donghua University,Shanghai 201620,China)

机构地区：[1]东华大学机械工程学院,上海201620

出　　处：《Journal of Southeast University(English Edition)》2024年第1期68-79,共12页东南大学学报（英文版）

基　　金：The National Key Research and Development Program of China(No.2018YFB2001702).

摘　　要：为方便实现渐开线圆柱齿轮接触分析,开发出渐开线圆柱齿轮啮合接触分析和齿廓修形算法程序.采用渐开线直齿轮参数方程精准建模,获得齿廓接触点的曲率半径,在考虑实际载荷的情况下,改进了赫兹接触公式来求解齿轮啮合接触应力.为减缓齿轮啮合冲击,在算法程序中提供了5种齿廓修形方式及其修形后的接触应力分析方法.与行业公认的齿轮设计仿真软件MASTA计算结果进行对比.结果表明,该算法程序接触应力求解精度较高,相对MASTA平均误差约为5.04%,齿廓修形后的接触应力分布一致,验证了该算法程序的合理性.To facilitate the contact analysis of involute cylindrical gears,a meshing contact analysis and tooth profile modification algorithm program for involute cylindrical gears is designed.The involute spur gear parameter equation is employed to accurately model the radius of curvature of the tooth profile contact point,and the Hertz contact formula is enhanced to solve the gear meshing contact stress considering the actual load.To reduce the impact of gear meshing,five tooth profile modification methods and their contact stress analysis methods after modification are given in the algorithm program.Compared with the calculations by MASTA,the industry-recognized gear design simulation software,the algorithm program has a higher accuracy in solving the contact stress and the contact stress distribution after tooth profile modification accords with the MASTA calculation results,and the average error is about 5.04%,which confirms the rationality of the algorithm program.

关 键 词：渐开线圆柱齿轮 赫兹公式 接触分析 程序开发 

分 类 号：TH132[机械工程—机械制造及自动化]