齿轮传动齿面动载荷的数值求解  

NUMERICAL SOLUTION OF DYNAMIC LOAD OF GEAR TOOTH

作　　者：吴利涛[1] 何芝仙[1] 

机构地区：[1]安徽工程大学机械与汽车工程学院,安徽芜湖241000

出　　处：《井冈山大学学报（自然科学版）》2012年第1期79-82,共4页Journal of Jinggangshan University (Natural Science)

基　　金：安徽省教育厅自然基金重点研究项目(KJ2010A042);安徽省科技厅科技人员服务企业计划项目(10020303011)

摘　　要：以普通渐开线齿轮为研究对象,考虑沿啮合线变化的啮合刚度及齿轮副相对阻尼,利用数值法求解齿轮振动微分方程,得到一个啮合周期内齿轮振动位移、速度的离散值,根据齿轮载荷力学模型求取了齿轮传动齿面动载荷随啮合时间的变化规律。并与求解齿轮振动微分方程时将时变啮合刚度采用Fourier变换求得的齿轮各动态响应进行比较,分析两种方法所得结果的差异。Taking ordinary involute gear as research object, we study the gear of relative damping and the meshing stiffness which varies with meshing line. The discrete values of gear vibration displacement and velocity in a mesh cycle can be derived with the numerical method of solving gear vibration differential equation. Furthermore, we find the variation with meshing time of dynamic load of gear tooth based on the mechanical model of gear load. Finally, we analyze the difference of the result between the two former methods based on the comparisons of the dynamic response of gear, which has been obtained by Fourier transforming time-varying meshing stiffness when solving the gear vibration differential equation.

关 键 词：动载荷 振动微分方程 数值解 时变啮合刚度 FOURIER变换 

分 类 号：TH132.41[机械工程—机械制造及自动化]