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一种新的三维动力接触约束单元
引用本文:刘恭忍,刘云贺.一种新的三维动力接触约束单元[J].应用力学学报,1995,12(4):65-71.
作者姓名:刘恭忍  刘云贺
作者单位:西安理工大学
摘    要:本文应用广义变分原理,利用拉氏乘子法和罚函数法计入接触约束条件修正,建立了分析三维动力接触问题的一般有限元分析的理论模式;推导了处理这类问题的一种新的接触约束单元的接触刚度矩阵;采用增量求解模型解,研编了实施程序3DDCF;处理了方程中的病态问题、碰撞及能量释放条件问题。进行了算例考核,还首次给出了一个三维动力接触问题的算例结果。

关 键 词:广义变分原理  三维动力接触  接触约束单元  接触刚度矩阵

A New Constrain Element on the3-D Dynamic Contact Analysis
Liu Gongren,Liu Yunke,Wang Kecheng.A New Constrain Element on the3-D Dynamic Contact Analysis[J].Chinese Journal of Applied Mechanics,1995,12(4):65-71.
Authors:Liu Gongren  Liu Yunke  Wang Kecheng
Abstract:Based upon the generalized variational principle and using both methods Lagrange multiplier andpenalty function to deal with the various dynamic contact constrain conditions,authers present a newfinite element analysis mode for 3-D dynamic contact problem.The contact stiffness matrix is givensimultaneously.A computing methed of incremental loading is adopted and a FEM program-3DDCFis completed,where the problems all of the illness of equation are dealt with,the impact and the ener-gy release condition are taken into account too.The program is checked by a well known numericalexample and the results of a three dimensional dynamic analysis are shown finally.
Keywords:generalized variational principle  3-D dynamic contact  elemnent of contact constrain  contactstiffness matrix    
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