变拓扑柔性多体系统接触碰撞动力学研究

摘要

There is an increasing number of discontinuous dynamics problems,such as contact and impact,in the engineering field.The known modelling theories and methods,which are used to solve the continuous dynamics of flexible multibody systems,are not able to solve those problems or to solve those problems perfectly.In this paper,an appending constraint method was proposed to solve the contact/impact dynamics of flexible multibody system based on the idea of topology variable.The impact experiment of flexible bars was designed to verify the validity of the proposed method.At last,a multi-variable method was proposed to solve the multi-scale problems of time and space when the global simulation of the discontinuous dynamics of flexible multibody systems was carried out,and the computational efficiency of the global simulation of the discontinuous dynamics of flexible multibody systems was improved by using this method.%在实际工程领域中存在着大量接触碰撞等非连续动力学问题,现有的解决柔性多体系统连续动力学过程的建模理论与方法,已经无法解决或无法很好解决这些问题.本文基于变拓扑思想,提出了附加接触约束的柔性多体系统碰撞动力学建模理论；通过设计柔性圆柱杆接触碰撞实验,验证了所提出附加约束接触碰撞模型的有效性；针对柔性多体系统全局动力学仿真面临时间和空间的多尺度问题,提出多变量的离散方法,从而提高了柔性多体系统非连续动力学的仿真效率.