上海交通大学学报

上海交通大学学报（自然版） ›› 2011, Vol. 45 ›› Issue (10): 1444-1449.

• 物理学 • 上一篇    下一篇

柔性体碰撞阻尼模型的适用性分析

邹凡，刘锦阳，余征跃   

  1. (上海交通大学 船舶海洋与建筑工程学院， 上海 200240)
  • 收稿日期:2010-06-01 出版日期:2011-10-31 发布日期:2011-10-31
  • 基金资助:

    国家自然科学基金 (10872126)，高等学校博士学科点专项科研基金（20100073110007）资助项目

Applicability Analysis on Impact Models of Flexible Bodies Considering Damping

 ZOU  Fan, LIU  Jin-Yang, YU  Zheng-Yue   

  1. (School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiaotong University, Shanghai 200240, China)
  • Received:2010-06-01 Online:2011-10-31 Published:2011-10-31

摘要： 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.
 

关键词: 接触碰撞, 非线性弹簧阻尼模型, 弹塑性模型

Abstract:  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.

Key words:  contact-impact, nonlinear spring-damper model, elastic-plastic impact model

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