冲击接触问题增广Lagrangian双共轭梯度法  

REDUCED AUGMENTED LAGRANGIAN BI CONJUGATE GRADIENT METHOD FOR IMPACT CONTACT PROBLEMS

作　　者：李南生[1] 沙德松[1] 孙焕纯[1] 张仲鼎 

机构地区：[1]大连理工大学工程力学系

出　　处：《固体力学学报》1999年第1期54-61,共8页Chinese Journal of Solid Mechanics

基　　金：国家教委博士点基金;辽宁省自然科学基金

摘　　要：为避免动力接触问题罚函数法由于满足表面接触条件所带来的数值解的振荡，及常规Ｌａｇｒａｎｇｉａｎ乘子法与显式积分算法不相容的缺陷，本文发展了一个既与显式积分算法相容，又可自然地用于隐式算法的增广Ｌａｇｒａｎｇｉａｎ双共轭梯度算法．增广Ｌａｇｒａｎｇｉａｎ双共轭梯度算法既可精确地满足接触约束条件，又可避免数值解的振荡；A new approach of enforcing contact constraints for the transient nonlinear finite element problem, which is referred to as the ‘Reduced Augmented Lagrangian Bi Conjugate Gradient Method’, is developed in this paper. The approach is based on the nonlinear constrained optimization theory and is compatible with the explicit time integration scheme. The new surface contact constraint method presented has significant advantages over the widely adopted penalty function methods and the conventional Lagrangian multiplier methods. The contact constraints to be enforced are satisfied accurately for each step by the algorithm, so the oscillation of numerical solution for the explicit scheme is depressed.

关 键 词：冲击接触问题 接触约束条件 双共轭梯度法 

分 类 号：O343.3[理学—固体力学]