Calculation of Equivalent Contact Torsional Stiffness for Cycloid Meshing Drive
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摘要: 基于Hertz接触理论,建立了摆线针轮啮合传动单齿对法向接触刚度模型及等效接触扭转刚度模型。在此基础上,利用有限元方法计算了摆线针轮啮合传动中同时参与接触的针齿数,建立了摆线针轮啮合传动的等效接触扭转刚度模型,应用Matlab软件编制了等效接触扭转刚度计算程序。通过算例得出了3种修形组合下的等效接触扭转刚度变化曲线,讨论了3种修形组合下各曲线的变化特征以及等效接触扭转刚度曲线与摆线轮齿廓之间的关系。Abstract: Based on the Hertz contact theory,models of normal contact stiffness and equivalent contact torsional stiffness for a single tooth engagement is established for the cycloid meshing drive. Based on these models,the teeth number that take part in meshing at the same time is calculated by using finite element method,and then the equiv-alent contact torsional stiffness of the whole teeth engagement in the cycloid meshing drive is established. The pro-gram of calculating equivalent contact torsional stiffness of the whole teeth engagement is developed using Matlab software,and the equivalent contact torsional stiffness curves of three tooth modifications are calculated for a numer-ical example.The variation characteristics of each curve under three tooth modifications and the relationship be-tween the curve and cycloid tooth profile are discussed.
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