基于改进能量法的直齿轮时变啮合刚度计算

Time-Varying Mesh Stiffness Calculation of Spur Gears Based on Improved Energy Method

在现有文献的基础上,将轮齿简化为齿根圆上的悬臂梁,并考虑较为真实的过渡曲线,对现有的能量法计算齿轮啮合刚度作了进一步修正.通过与文献和有限元结果的对比,给出了误差产生的原因,验证了所提出的修正方法的有效性.提出的方法避开了齿数的判断,提高了能量法计算齿轮啮合刚度的通用性.此外,考虑较为真实的过渡曲线方程,保证了轮齿建模的准确性,进一步减小了啮合刚度的计算误差,研究结果可为直齿轮啮合动力学分析提供理论基础.

Based on the existing references, considering the accurate modeling of the tooth, this paper presented a correction method by simplifying the gear tooth as a cantilever beam on the root circle. Comparing with the results from references and finite element method, the error reasons of different methods were presented and the validity of this method was proved. This method can avoid judging the number of tooth and improve the generality of the potential energy method when calculating the time-varying mesh stiffness. The results provide theoretical basis for the meshing dynamic analysis of spur gears.