平面接触圆运动摩擦力的解析与数值算法

Theoretical and Numerical Methods for Solving Friction Force of Circular Motion in Contact Plane

本文给出了接触相对运动为圆时求解摩擦力的理论方法 ,得到了摩擦力的解析解 ,分析了二维接触圆运动所产生摩擦力的特征 ,并将其与采用时域轨迹跟踪方法所得的数值解进行了比较 ,验证了数值方法的可行性 ,同时分析了数值方法产生误差的大小及来源 ,为该数值方法的应用及推广于其他平面复杂接触运动提供了依据。

In this paper,a theoretical method is proposed to calculate friction force when friction interfaces are constrained to circular motion in a plane.Using this method we can,get the solution of friction force in theory and analyze its features.The comparison of the analytical solution with the numerical one shows that the numerical method is valid.Additionally,the source of errors is analysed in order to provide basis for further application of this method to calculating the friction force when friction interfaces are constrained to complex two-dimensional motions.