在这篇论文,灵活 multibody 系统的影响动力学上的计算方法论被介绍。首先,漂浮的原则途径和节的坐标根据有限元素明确的表达被用来描述平面可变形的身体的 kinematics。根据对接触条件的运动学的描述,平面灵活身体的接触限制方程被导出。把影响基于变化拓扑学技术为一个平面 multibody 系统的动态方程被建立。然后,在每个接触阶段的方程的起始的条件在连续统力学根据断绝理论被决定。在铝杆之间的实验被执行检查建议方法的正确性。通过在数字、试验性的结果之间的比较,建议方法被验证。试验性的结果也证明推动动量方法不能精确地预言动态现象和连续模型可以导致的复杂影响一个严肃的错误什么时候过去常与重要波浪繁殖模仿影响问题,完成。关键词灵活 multibody 系统 - 影响动力学 - 添加限制方法(ACM )- 影响实验工程被国家天赋支持中国(10772113 ) 的科学基础。
In this paper a computational methodology on impact dynamics of the flexible multibody system is presented. First, the floating frame of reference approach and nodal coordinates on the basis of finite element formulation are used to describe the kinematics of planar deformable bodies. According to the kinematic description of contact conditions, the contact constraint equations of planar flexible bodies are derived. Based on the varying topology technique the impact dynamic equations for a planar multibody system are established. Then the initial conditions of the equations in each contact stage are determined according to the discontinuity theory in continuum mechanics. The experiments between the aluminum rods are performed to check the correctness of the proposed method. Through the comparison between the numerical and experimental results the proposed method is validated. Experimental results also show that the impulse momentum method cannot accurately predict the complex impact dynamic phenomena and the continuous model may lead to a serious error when used to simulate the impact problems with significant wave propagation effects.