双柔性杆多次撞击力分析  

Analysis of multiple-impact forces between flexible-rods

作　　者：田阿利[1] 尹晓春[1] 

机构地区：[1]南京理工大学理学院,南京210094

出　　处：《北京航空航天大学学报》2007年第7期834-837,共4页Journal of Beijing University of Aeronautics and Astronautics

摘　　要：柔性构件的多次弹性撞击现象在工程中普遍存在,其中撞击力的求解一直是关键问题.利用瞬态波函数特征值展开法,给出多次撞击过程和分离过程的杆中瞬态波传播的理论解,提出计算双柔性杆多次撞击力的瞬态波效应法,该方法避免求解具有未知奇异载荷项的强非线性方程.实现了对多次撞击问题的精确的数值分析,研究了初始撞击速度对撞击力和撞击发生时间的影响,表明瞬态波效应法可以计算多次撞击力时间历程.初始撞击速度越大,撞击力幅值越大,而且撞击力的峰值在前三次撞击过程中是逐次增加的,后趋于稳定,并可以研究"次撞击"现象.为进一步研究复杂柔性结构系统多次撞击问题以及重复撞击引起的长期系统动力学行为提供了可借鉴的有效研究方法.The multiple-impact phenomena usually exist in many engineering structural system and the calculation of impact force is a key problem. The present study is aimed at the calculation method of the impact force of the longitudinal multiple-impact problem. The transient wave response approach was presented to investigate the history of the multiple impact forces based on the theory of transient wave propagation. The wave effect was sufficiently considered. The transient wave response approach could avoid solving the impact force from the strongly nonlinear equation coupled of impact force with impact motions. The flexible system of two flexible rods with longitudinal multiple impacts was investigated accurately in numerical example. The higher the initial impact velocity is, the bigger the impact forces will be. The impact forces in the previous third impact processes increase slowly with the impact number. The phenomena of ＂ sub-impact＂ can be captured. The present method provides an effective method for reference to further investigate the multiple-impact problem in the more complex flexibility systems and the longtime dynamic behavior.

关 键 词：撞击力 瞬态响应 多次撞击 

分 类 号：O313.4[理学—一般力学与力学基础]