变双曲圆弧齿线圆柱齿轮时变啮合刚度和传动误差分析  

Analysis for time-varying meshing stiffness and transmission error of cylindrical gear with variable hyperbolic circular-arc-tooth-trace

作　　者：魏永峭 郭瑞 刘永平[1] 杨栋 WEI Yongqiao;GUO Rui;LIU Yongping;YANG Dong(School of Mechanical Engineering,Lanzhou University of Technology,Lanzhou 730050,China;Wenzhou Engineering Institute of Pump and Valve,Lanzhou University of Technology,Wenzhou 325105,Zhejiang China;State Key Laboratory of High Precision Manufacturing for Extreme Science Performance,Central South University,Changsha 410083,China)

机构地区：[1]兰州理工大学机电工程学院,甘肃兰州730050 [2]兰州理工大学温州泵阀工程研究院,浙江温州325105 [3]中南大学极端服役性能精准制造全国重点实验室,湖南长沙410083

出　　处：《华中科技大学学报（自然科学版）》2023年第12期73-82,共10页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(52105058);温州市基础性科研项目(G20220009);中南大学高性能复杂制造国家重点实验室开放基金资助项目(Kfkt2021-11)。

摘　　要：针对变双曲圆弧齿线(VH-CATT)圆柱齿轮时变啮合刚度计算困难的问题,提出了受载变双曲圆弧齿线圆柱齿轮时变啮合刚度计算方法,通过引入齿面网格节点啮合刚度来计算单齿啮合刚度.分析了啮合过程中接触印痕、法向接触力、综合弹性变形量、节点啮合刚度的变化规律,得到了综合考虑齿间载荷分配和实际重合度影响的变双曲圆弧齿线圆柱齿轮时变啮合刚度,分析了载荷和齿线半径对时变啮合刚度和传动误差的影响规律.结果表明:变双曲圆弧齿线圆柱齿轮的时变啮合刚度和传动误差均呈周期性变化,载荷与齿线半径对时变啮合刚度和传动误差均有较大影响;随着载荷增大,时变啮合刚度和传动误差均呈增大趋势;随着齿线半径增大,时变啮合刚度呈增大趋势,传动误差呈减小趋势.A computational method was proposed to solve the difficulty of calculating the time-varying meshing stiffness of cylindrical gear with variable hyperbolic circular-arc-tooth-trace(VH-CATT)under load,which calculates the single-tooth mesh stiffness by introducing the mesh stiffness of tooth surface mesh nodes.The contact patterns,normal contact forces,integrated elastic deformation,and nodal meshing stiffness of VH-CATT cylindrical gears were investigated.The time-varying meshing stiffness of VH-CATT cylindrical gears was calculated considering the integrating effects of load share between teeth and actual contact ratio.The results show that the time-varying meshing stiffness and transmission error of VH-CATT cylindrical gears are periodically changing,and the load and tooth trace radius have a great influence on the time-varying meshing stiffness and transmission error.When the load increases,the time-varying meshing stiffness and transmission error increase;however,the tooth trace radius increases,the time-varying meshing stiffness increase and the transmission error decrease.

关 键 词：变双曲圆弧齿线圆柱齿轮 节点啮合刚度 时变啮合刚度 传动误差 接触印痕 

分 类 号：TH132.41[机械工程—机械制造及自动化]