一种计算接触碰撞的有限元数值方法

A Finite Element Method for Contact-colliding Problems

提出一种提高接触碰撞数值分析效率的有限元数值方法 .首先把碰撞接触弹性物体的位移在其模态空间展开 ,把接触点对的位移分别用其模态表示 .建立了碰撞弹性体接触的增量动力学方程 ,运用虚脉冲积分法 ,把碰撞弹性体接触的增量动力学方程表示成显示的、无条件的、精度高的积分形式 ,对其进行积分计算 .以球撞击四边简支弹性板为例 ,进行了数值分析 ,分析表明此法计算效率高。

A finite element efficiency method for contact colliding problems is given.The displacement of elasticity contact colliding solids is described by model coordinate.The increment dynamics equations of elasticity contact colliding solids is given,the virtual pulse time integral algorithm for solving the equations is given,it is an unconditional stabilization high precision method.An numerical computing example of ball colliding elasticity plank is given,it indicate that the method is of high efficiency and precision.