圆柱正弦活齿传动啮合力和啮合刚度研究

Study on the Meshing Force and Meshing Rigidity of Cylinder Sine Oscillation Tooth Transmission

基于弹性小变形和变形协调假设给出理论状态下啮合作用力分析模型,给出了啮合作用力求解算法;根据Hertz理论和啮合副的几何关系,建立了啮合副的啮合刚度模型,推导出啮合副啮合刚度和接触点处主曲率计算公式。结合具体实例,获得啮合副作用力、主曲率和及啮合副刚度的分布特点。这些分析结果可以为圆柱正弦活齿传动机构的结构设计、振动分析提供基础。

Based on the hypothesis of stretch small distortion and distortion congruity,the model and algorithm of meshing force analysis under theoretical conditions are given.According to the Hertz theory and geometric relation of meshing pair,the meshing rigidity models of the meshing pair are established,and the calculation formulas of the meshing rigidity and the principal curvature of the contact point are deduced.The presented methods is illustrated through an example,and the distributing characteristic of meshing forces,sum of principal curvature and meshing rigidity of this type of transmission device is acquired.The acquired result can be adopted as the analytical base for structure design,vibration analysis.