孙焕纯,宋亚新,刘巍.结构碰撞的动力响应分析[J].计算力学学报,1994,11(1): |
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结构碰撞的动力响应分析 |
Contact-impact dynamic response analys of Structures |
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DOI:10.7511/jslx19941005 |
中文关键词: 接触-碰撞,碰撞反力函数,动力反应分析 |
英文关键词:contact-mpact,impact reacting force function,dynamic response analysis, |
基金项目:国家教委高等学校博士科学点专项科研基金 |
孙焕纯 宋亚新 刘巍 |
大连理工大学工程力学系 |
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中文摘要: |
本文研究结构在动力作用下发生碰撞时的动力响应的分析方法。其中碰撞包括结构与刚(弹)性支座的碰撞和两个结构物之间的碰撞;碰撞的速度假定为中低速度,分析时不考虑局部的破坏问题。本文方法的关键点是提出了碰撞过程中的碰撞反力的模拟表达式。它是通过碰撞时结构与碰撞物体的碰撞力和碰撞变形关系的假定,并利用能量守恒原理,动量守恒原理和冲量定理建立的,既可描述完全弹性碰撞过程也可描述非完全弹性碰撞过程,当然也可考虑结构阻尼的影响。文末给出了几个算例,其中与有解析解的做了比较,符合得很好;至于没有解析解可比较的,在理论上也 |
英文摘要: |
his paper studies a method for analyzhg the contact-impact dynamic response prob-lems of structures under the eactions of time-ependent loads. The contact-impact incldesthe impact between structure and rigid support and that between two structures.The im-pulse velocity is supposed to be a middle or low one and the local failure is not considered inanalysis. The key of this method is that a time-dependent impact reacting force function inthe impact procedure is presented.And the impact reacting force function is formulated byusing the following conditions,laws and theorem:l.relation of the impact force and thesmall deformation between the impacted bodies;2.the law of energy conservation; 3.thelaw of momentum conservatiOn;4.impulse theorem;5.the coefficient of resilience express-ing the energy dissipation. Some examples are given in the end of this paper,The result of the first example is com-pared with that of the analytical solution ,and the cocncidence between two resuIts exceedsour expectheions. As for the other numerical resuIts,though there is no any analytical solu-tion to be used to compare with each other,they are also reasonable through theoritical anal-ysis. The central difference scheme of step by step integration method is adopted to solvethese problems and by using smaller and smaller step length of integration in the impact pro-cedure ideal resuIts are obtained. |
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