加权残量法在建立多变量有限元模型中的应用  

APPLICATION OF WEIGHTED RESIDUAL METHOD IN ESTABLISHING MULTI-VARIABLE FINITE ELEMENT MODELS

作　　者：史宝军[1] 鹿晓阳[1] 

机构地区：[1]山东建筑工程学院计算力学研究所,济南250014

出　　处：《固体力学学报》2000年第1期40-48,共9页Chinese Journal of Solid Mechanics

摘　　要：应用加权残量法基本原理 ,给出了建立多变量有限元模型的简明格式和新的列式 ,讨论了该列式与几种典型多变量有限元模型的对应、退化和等价关系 .从而阐明了各类多变量有限元模型之间的内在联系 ,为各种多变量有限元模型的相互促进与发展提供了有效途径 .并探讨了多场变量的选择原则与单元刚度阵秩的关系 .A concise and new formulation for establishing multi variable finite element models was derived by the weighted residual method. Its corresponding relations and degenerating relations with other typical multi variable finite element models were discussed. An efficient way was proposed for the promotion and development of various multi variable finite element models. The selection rule of field variables and its relation with the rank of element stiffness matrix was discussed. Then several typical numerical examples were given.

关 键 词：加权残量法 多变量有限元 结构 固体力学 

分 类 号：O343[理学—固体力学]