渐开线直齿圆柱齿轮的刚度精密分析方法及其影响因素探讨  

A Precise Analytical Method of the Stiffness of Involute Spur Gear and Exploration of the Influencing Factors of Stiffness

作　　者：赵东升[1] 汪中厚[1] 张立平[1] 周鹤群[1] 谢云波[1] 

机构地区：[1]上海理工大学机械工程学院,上海200093

出　　处：《机械传动》2010年第4期24-27,共4页Journal of Mechanical Transmission

基　　金：上海浦江人才计划项目资助(06PJ14071);上海市研究生创新基金项目(JWCXSL0902)

摘　　要：在齿轮传动中,轮齿的弹性变形引起的刚度激励和啮合冲击是齿轮啮合的主要动态激励之一,所以确定轮齿的弹性变形一直是齿轮动力学的重要任务。但是轮齿的弹性变形及其啮合过程变化较复杂,精确计算困难。我们用有限元法对不同齿数、载荷、加载位置及圆角半径的齿轮受载后的弹性变形进行了大量的计算,且将有限元模型多次细化网格作收敛验证,验证结果收敛。将计算数据与实测值进行对比,证明了有限元的准确性和精确性。在详尽分析计算结果的基础上,找出了影响直齿外齿轮变形挠度的6个主要参数,并且将这些参数与变形的关系拟合曲线,找到了相关的规律。Because Stiffness excitation and meshing impact caused by elastic deformation of the teeth is mainly one of the dynamic excitation of the gear meshing during gear transmission,how to determine the elastic deformation of gear is one of the important tasks of gear dynamics.However,the elastic deformation of teeth and the mashing process is complicated,it is difficult to calculate the elastic deformation of teeth during the meshing process.In this paper,finite element method is used to calculate elastic deformation of gears which has different number of teeth,load,load position and fillet radius,and finite element model will be refined several times to verify the convergence of the results,the results show that analysis results are convergence.The calculated dates are compared with the measured values to prove that the finite element is accurate.Six main parameters which affect the elastic deformation of external gear are ascertained based on the detailed analysis and the calculation results.The relevant laws are found by fitting the curve between those parameters and the deformation.

关 键 词：刚度分析 弹性变形 收敛验证 有限元分析 

分 类 号：TH132.41[机械工程—机械制造及自动化]