节点文献

作大范围运动的矩形板动力分析

DYNAMIC ANALYSIS OF RECTANGULAR PLATES UNDERGOING LARGE OVERALL MOTION

  • 推荐 CAJ下载
  • PDF下载
  • 不支持迅雷等下载工具,请取消加速工具后下载。

【作者】 刘又午王建明张大钧刘才山

【Author】 Liu Youwu Wang Jianming Zhang Dajun Liu Caishan (Dept. of Mechanic Engineering, Tianjin Univeristy)

【机构】 天津大学机械系天津大学机械系

【摘要】 作高速大范围运动的弹性体,由于运动和变形的耦合将产生动力刚化现象,传统的动力学理论难以计及这种影响.本文在有限元方法中首次引入了单元耦合形函数(阵),以此将单元弹性位移表示成为单元结点位移的二阶小量形式.利用几何非线性的应变-位移关系式,在小变形假设条件下确定了单元耦合形函数.在此基础上,根据Kane方程.运用模态坐标压缩,并采用适当的线性化处理,得到了包含动力刚度项的线性动力学方程.针对矩形板编制了动力刚化有限元分析程序.仿真算例证明了理论和算法的正确性.

【Abstract】 Dynamic stiffening effect may appear on elastic bodies undergoing the high-speed and large overall motion due to the coupling between rigid motion and elastic deflection. Traditional dynamic analysis can hardly involve these terms. A new kind of element coupling shape function matrices is used in finite element method, so that element elastic displacement is expressed as the second order small quantities of element node displacement. The element coupling shape function matrices are derived by means of geometrically nonlinear strain-displacement relation under small deformation assumption. The Kane’s equations and the modal coordinate reduction method are used to establish the linear dynamic equations including dynamic stiffening. A dynamic stiffening finite element analysis program for rectangular plates is developed. The validity of the theory and algorithm presented in the paper are verified by the numerical simulation example.

【基金】 国家自然科学基金资助课题,课题编号:59475027
  • 【文献出处】 振动与冲击 ,Journal of Vibration and Shock , 编辑部邮箱 ,1998年01期
  • 【分类号】TB123
  • 【被引频次】23
  • 【下载频次】136
节点文献中: 

本文链接的文献网络图示:

本文的引文网络