齿轮啮合过程弯曲强度有限元分析

Finite Element Analysis of Bending Strength of Gears in Meshing Process

以渐开线直齿圆柱齿轮为研究对象,建立了齿轮啮合非线性接触有限元模型,运用完全牛顿-拉普森方法进行啮合过程的仿真计算,并将结果与赫兹公式计算所得的接触应力值进行比较,验证了有限元模型的有效性;在此基础上进一步分析了不同啮合位置下齿轮的弯曲应力分布情况,得到了齿根弯曲应力在啮合过程中的变化规律,为提高齿轮强度和齿轮的优化设计提供了理论依据。

Gear breaking as the most common form of gear damage in mechanical transmission equipment is the main cause of gear failure.In this paper,the involute spur gear was taken as the research object,and the nonlinear contact finite element model of meshing gears was established.The simulation results of the gears′contact stress in meshing process using the complete NewtonLaplace method were compared with the contact stress values calculated by the Hertz formula,which verified the validity of the finite element model.On this basis,the distribution of bending stress of gears under different meshing positions was analyzed,and the variation rule of tooth root bending stress in the meshing process was obtained,which would provide a theoretical basis for improving the strength of gear and optimizing the design strength.