平行轴变齿厚齿轮接触应力解析计算  

Analytical calculation of contact stress on parallel shaft beveloid gear

作　　者：刘永平[1] 魏帅 董长斌 魏永峭 任忠涛 李泽宇[1] LIU Yongping;WEI Shuai;DONG Changbin;WEI Yongqiao;REN Zhongtao;LI Zeyu(College of Mechanical&Electrical Engineering,Lanzhou University of Technology,Lanzhou 730050)

机构地区：[1]兰州理工大学机电工程学院,甘肃兰州730050

出　　处：《机械设计》2024年第2期102-110,共9页Journal of Machine Design

基　　金：甘肃省自然科学基金项目(21JR7RA235)。

摘　　要：变齿厚齿轮作为一种新型齿轮,目前尚无成熟的接触应力理论和计算方法。为了从理论上计算变齿厚齿轮齿面上的最大接触应力,了解变齿厚齿轮在不同参数下接触应力的变化情况。文中在赫兹公式的基础上,考虑变齿厚齿轮的几何结构,确定了变齿厚齿轮重合度、曲率半径、法向载荷、接触线长、重合度系数和齿形角系数的计算方法。研究了不同节锥角、齿数、模数和压力角对变齿厚齿轮接触应力的影响,通过有限元分析验证了变齿厚齿轮接触应力理论计算公式的正确性。研究结果表明:推导出的变齿厚齿轮接触应力计算公式具有较高的精度,能够准确地反映齿面的真实接触应力值,为变齿厚齿轮的结构设计、强度校核等提供了一定的依据。Currently,the beveloid gear,as a new type of gear,has no mature contact-stress theory and calculation method.This article aims to theoretically calculate the maximum contact stress on the beveloid gear’s tooth surface and explore the change of contact stress on the beveloid gear with different parameters.Based on the Hertz formula,with the beveloid gear’s geometric structure of taken into consideration,efforts are made to identify the method to calculate such factors as beveloid gear’s coincidence degree,radius of curvature,normal load,contact line length,coincidence coefficient and tooth shape angle coefficient.The effects of different pitch cone angles,number of teeth,modulus and pressure angles on the beveloid gear’s contact stress are studied.Through the finite-element analysis,it is verified that the theoretical formula of calculating the beveloid gear’s contact stress is correct.The results show that this formula with high accuracy can faithfully reflect the real contact stress value on the beveloid gear’s tooth surface.This study provides basis for the beveloid gear’s structure design and strength check.

关 键 词：变齿厚齿轮 接触应力 节锥角 赫兹接触 

分 类 号：TH122[机械工程—机械设计及理论]