超级有限元法及其在结构工程中的应用  

Super finite element method and its application in structural engineering analysis

作　　者：曹志远[1] 刘永仁[1] 周汉斌[1] 

机构地区：[1]同济大学工程力学系

出　　处：《计算结构力学及其应用》1994年第4期454-460,469,共8页

基　　金：国家自然科学基金及上海市建设技术发展基金

摘　　要：本文探讨一种基于半连续半离散思想，适用于复杂结构（如高层框架、剪力墙、桁架、网架等结构系统）工程分析的超级有限元，其结构数值分析是按连续体进行，但又按单个构件进行有限元计算。这种按整体系统进行离散所获得的单元内部包含众多构件，有别于一般常见的实体有限元，称为“超级有限元”。这种方法自由度数比一般有限元法少很多，又与单元内部所含构件数多少无关，并可求取结构内每个构件的内力值。A new super finite element method based on semi-continuity and semi-discreteness idea isproposed in this paper for the engineering analyses of complex structures e.g.tall frame,shearwall,truss Igrid structure system etc.,in which the structure is analyzed numerically as a continu-ous body and the structure members are computed by finite element method.Such element usingdiscretization of the whole system,containing very much members,different from solid finite ele-ment is called “Super Finite Element”,by which the number of unknowns is much less than thereferring by means of the general FEM,and is not relative to the number of structure member inthe element,besides,the interior forces of every member can be obtained.

关 键 词：结构工程 数值分析 有限元 工程力学 

分 类 号：TB12[理学—工程力学]