用理论和实验相结合的方法研究柔性梁和刚性球正碰撞过程中2种碰撞阻尼模型的适用性.基于Euler-Bernoulli假设,考虑几何非线性,用绝对节点坐标法建立了平面柔性梁的动力学模型.用非线性弹簧阻尼模型建立了柔性多体系统的碰撞动力学方程;在考虑局部残余变形的前提下,用弹塑性模型建立了柔性多体系统的碰撞动力学方程,将碰撞过程分3个阶段(弹性碰撞,弹塑性碰撞,弹性恢复)进行分析.设计了柔性梁和刚性球的碰撞实验,将仿真计算与实验数据对比.结果表明,弹塑性模型更适用于碰撞分析.
Applicability of two different impact models considering damping in the process of normal contact-impact between a flexible beam and a rigid sphere was investigated,combining the theoretical and experimental methods.Based on Euler-Bernoulli beam assumption and geometric nonlinear theory,dynamic model of a planar flexible beam was established using absolute nodal coordinate formulation.Firstly,impact dynamic equations of flexible multi-body system are established using nonlinear spring-damper model,and then considering residual local deformation,dynamic equations of the system are established using elastic-plastic impact model,in which the impact can be divided into three periods: The elastic loading,the elastic-plastic loading,and the elastic unloading.Finally,a normal impact experiment between a flexible beam and a rigid sphere was carried out to verify that the elastic-plastic impact model is more suitable for impact analysis by comparison of the simulation and experiment results.