中文摘要：

通过建立弹塑性碰撞动态子结构模型,推导了模态坐标下的控制方程,提出了模拟柔性结构碰撞激发弹塑性波传播的动态子结构方法,并对其中的主模态的存在性和主模态截断的收敛性进行了证明.通过对柔性杆纵向碰撞和柔性梁横向碰撞两个算例的计算,并将计算结果与理论解和三维动力有限方法计算结果进行了对比,验证了该方法的数值收敛性和计算碰撞弹塑性波传播的有效性.

英文摘要：

The dynamic substructure method was proposed to account for propagation of elastic-plastic waves in flexible components induced by impact.A dynamic model using the substructure technique was established and its governing equations in modal coordinates were derived from the finite element theory and the substructure synthesis method.The existence of the normal modes in the indicated waves and the convergence of the truncation of the normal modes were proved.Numerical cases are illustrated for longitudinal and transverse impact of flexible bars.The simulation results,the comparisons with their analytical solutions,and calculations of the three-dimensional dynamic finite element method,show that the present method is convergent and valid.