弧齿锥齿轮传动内部动态激励数值仿真  

Numerical simulation of the internal dynamic excitation of a spiral bevel gear transmission

作　　者：林腾蛟[1] 杨妍妮[1] 李润方[1] 李应超[1] 

机构地区：[1]重庆大学机械传动国家重点实验室,重庆400030

出　　处：《重庆大学学报（自然科学版）》2009年第6期609-613,共5页Journal of Chongqing University

基　　金：国家科技支撑计划资助项目(2006BAF01B01-03);重庆市重大科技专项资助项目(CSTC;2007AB3030);重庆市重点科技攻关项目(CSTC;2006AA3010-6)

摘　　要：建立了弧齿锥齿轮传动的三维几何模型及有限元静力和动力接触分析模型。采用ANSYS软件对静力分析模型进行接触分析,得出弧齿锥齿轮传动的啮合刚度激励;采用LS-DYNA软件计算轮齿的啮入位置及主、从动轮的相对转速,对其啮入冲击特性进行数值仿真;用半正弦函数模拟误差激励曲线。综合考虑齿轮刚度激励、误差激励及啮入冲击激励得到弧齿锥齿轮传动的内部激励曲线。仿真分析得出负载对冲击有较大影响;冲击时间与冲击速度无关,冲击力与冲击速度成正比;齿轮侧隙及轴交角误差将导致冲击时间滞后,同时引起冲击力增大;侧隙对冲击时间滞后影响较大,轴交角误差对冲击力大小影响较大。A 3-D geometry model and a static/dynamic finite element （FE） model of a spiral bevel gear transmission are established. Using ANSYS software, the mesh stiffness excitation of a tooth pair is calculated via the static contact FE method. Using LS-DYNA software, the approach position and relative velocity between the driving and driven gears are determined and used to analyze the impact excatation of the tooth pair. The error exaction is described by a half-sine function; the internal dynamic excitation of a spiral bevel gear transmission then can be obtained based on the acquired stiffness excitation, error exaction and impact exaction. The results indicate the following： the gear torque has a significant effect on impact characteristics, while the impact time is independent of the impact velocity; the impact force force is directly proportional to the impact velocity; the backlash and the error of crossed axes angle lead to the delay of the impact time and increase of the impact force; the backlash has considerable influence on lag time, while the error of crossed axes angle has noticeable influence on the impact force amplitude.

关 键 词：弧齿锥齿轮 刚度 冲击 动态响应 有限元法 

分 类 号：TH113.1[机械工程—机械设计及理论]