基于恢复系数的碰撞过程模型分析  

ANALYSIS OF IMPACT PROCESS MODEL BASED ON RESTITUTION COEFFICIEN

作　　者：秦志英[1] 陆启韶[1] 

机构地区：[1]北京航空航天大学理学院

出　　处：《动力学与控制学报》2006年第4期294-298,共5页Journal of Dynamics and Control

基　　金：国家自然科学基金(10572011);河北省自然科学基金(E2004000299)资助项目~~

摘　　要：论述了恢复系数的含义及作用,并在此基础上介绍了几种碰撞过程模型.通过详细推导恢复系数与模型参数之间的关系,使得不同的碰撞过程模型可统一用恢复系数表示能量损失,并用接触刚度表示变形.这也阐明了碰撞过程模型与刚性模型之间的区别和联系,把动态接触理论和古典碰撞理论统一了起来.通过对一个单球碰撞系统进行数值仿真,不仅验证了关系推导的正确性,而且对各种模型从精度、效率、微观接触过程等方面进行了比较.The meaning and function of restitution coefficient were introduced, and some kinds of impact process models were analyzed. By deriving the relationship between the restitution coefficient and the model parameters, the energy dissipation was described as restitution coefficient, and the contact deformation was described as contact stiffness for different models. This also demonstrated the difference and connection between the impact process models and the rigid impact model. Through the numerical simulations of an impact system of falling ball, the derived relationship were verified and these models were compared in view of computation precision, efficiency and micro-contact process.

关 键 词：碰撞过程模型 接触力-变形函数 恢复系数 

分 类 号：O313.4[理学—一般力学与力学基础]