有限元病态刚度方程的解法研究  

Study of finite element ill-conditioned stiffness equation

作　　者：贾金生[1] 李国润[2] 

机构地区：[1]水利水电科学研究院,北京100038 [2]成都科技大学,成都610065

出　　处：《大连理工大学学报》1993年第S1期24-29,共6页Journal of Dalian University of Technology

摘　　要：对有限元局部节点位移构成准刚体运动情况进行了研究，提出了一种新 的改性转换矩阵［Ｑ］，给出了两种简单易行的计算［Ｑ］Ｔ［Ａ］［Ｑ］的方法．所提 方法对直接法和迭代法求解有限元病态方程都是适用的．算例表明，得到了 较好的计算结果．This paper is concerned with the case that the finite element local node displacements constitute a pseudo-rigid body movement. A new transformative matrix [Q] and two new simple methods for calculation of [Q]T [A] [Q] are presented. According to the methods, it is easy to solve the finite element ill-conditioned stiffness equation with the precision improved. Numerical examples are given with meaningful results.

关 键 词：有限元法 刚度矩阵 病态矩阵 

分 类 号：N55[自然科学总论]