齿廓修形斜齿轮副啮合刚度解析计算模型  

Analytical model of the mesh stiffness of helical gear pair after tooth profile modification

作　　者：魏静[1] 赖育彬 秦大同[1] 王刚强[1] 林小燕 WEI Jing;LAI Yubin;QIN Datong;WANG Gangqiang;LIN Xiaoyan(State Key Laboratory of Mechanical Transmission,Chongqing University,Chongqing 400044,Chin)

机构地区：[1]重庆大学机械传动国家重点实验室,重庆400044

出　　处：《振动与冲击》2018年第10期94-101,116,共9页Journal of Vibration and Shock

基　　金：国家重点基础研究发展计划(973项目)(2014CB046304);国家国际科技合作项目(2013DFA71330);中央高校基本科研业务费(106112015CDJXY110001)

摘　　要：斜齿轮的轮齿误差是一个三维空间问题,其齿廓修形后啮合刚度的解析计算方法不同于直齿轮。改进了斜齿轮三维空间啮合线长度及位置计算方法,实现了斜齿轮啮合线长度及啮合位置的快速计算;根据力、变形分解原理和刚度/误差耦合关系,提出了一种考虑轴向变形以及齿廓修缘的斜齿轮啮合刚度解析计算模型;以一组斜齿轮副为例,研究了斜齿轮啮合刚度与啮合线长度在一个啮合周期内的变化规律,分析了不同齿廓修形参数对斜齿轮啮合刚度的影响规律。研究结果表明:利用该模型不仅可以准确快速地计算斜齿轮副啮合刚度,而且还可以确定最佳齿廓修形量,为斜齿轮的齿廓修形提供理论指导。Considering the tooth error of a helical gear is three dimensional,the meshing stiffness analytic method for the helical gear pair after tooth profile modification meeds to be different from that for general spur gears. A calculation method for the meshing line length and position in the three-dimensional space of the helical gear was proposed to achieve the rapid calculation,and an analytical calculation model for the meshing stiffness of the helical gear pair considering the axial deformation and tooth profile was put forward according to the principle of force and deformation decomposition combined with the introduction of the coupling relation Between the stiffness and error. Then taking a set of helical gears as an example,the variation of the meshing stiffness of the helical gear pair and the meshing line length in one meshing period was investigated and the influences of different profile modification parameters on the meshing stiffness of helical gear pair were analyzed. The results show that by the model,not only the meshing stiffness of helical gear pair,can be accurately calculated but also the optimal profile modification,can be determined,which can provide a theoretical guidance for the profile modification of helical gears.

关 键 词：斜齿轮 啮合刚度 齿廓修形 啮合线长度 

分 类 号：TH132[机械工程—机械制造及自动化]