三维冲击－动力接触问题的有限元混合算法

A Mixed Finite Element Algorithm of Three-Dimensional Impact-Dynamic Contact Problems

提出了一种三维冲击－动力接触问题的有限元混合算法，该算法用库仑摩擦定律表述动力接触面的边界条件；按修正的Ｃｈｏｌｅｓｋｙ分解算法建立接触面的有效柔度阵方程。在按Ｎｅｗｍａｒｋ算法作逐步积分计算中，每一时间步的迭代计算。

A mixed finite element algorithm of three-dimensional impact-dynamic contactproblems is developed.The Coulomb’s law of friction is employed to describe the boundary cundl-tions on dynamic contact surface,and a modified Cholesky elimination algorithm is used to establishthe effective flexibility matrix equation of the dynamic contact surface. In the process of iterationsby using Newmark direct numerical integration.the iterations of each time step are condensed onlyon the solutions of the effective flexibility equation on contact surface. The results show that the al-gorithm presented in this paper has a high effeciency and numerical accuracy,and it can be widelyused in the numerical simulation of complex impact-dynamic contact engineering problerns