粘弹性动接触问题的阻尼简化处理

动接触力算法是求解粘弹性动接触问题的精度较高的方法之一。为找到这一方法的阻尼简化处理方法 ,同时保持动接触力方法的精度 ,利用求解线性代数方程组的迭代格式 ,研究了阻尼系数同动接触力方程解的关系 ,给出了动接触力方程的级数形式的解。从该级数解中分离出阻尼影响项 ,从而为求解动接触力方程时的阻尼简化计算提供了理论依据 ,由此提出了动接触力方法的阻尼简化计算原则。数值算例表明 ,阻尼简化算法可以简化动接触力方程的求解 ,在不损失精度的同时减少计算量 ,可用于动接触力方法中对动接触力的计算。

Damping simplification for dynamic contact problems in visco-elastic media

The dynamic contact force method is a relatively accurate method for solving dynamic contact problems in visco elastic media. A damping simplification method is proposed which keeps the high accuracy of the dynamic contact force method. The relation between the damping coefficient and the solution to the dynamic contact force equations was investigated using an iterative scheme of linear algebraic equations. A series solution to the dynamic contact force equations was presented. The part of the result related to the media damping is separated from the solution abtained. A simple numerical example demonstrates that the proposed method can be used to precisely compute dynamic contact forces with less computational cost than for the dynamic contact force method.