超级有限元法在桁架组合结构分析中的应用  

A SUPER FINITE ELEMENT METHOD AND ITS APPLICATION TO ANALYSIS OF BUILT—UP STRUCTURE WITH TRUSS MEMBER SYSTEM

作　　者：周汉斌[1] 曹志远[1] 

机构地区：[1]同济大学

出　　处：《上海力学》1993年第3期31-36,共6页Chinese Quarterly Mechanics

基　　金：国家自然科学基金

摘　　要：本文针对复杂杆系组合结构静动力问题讨论一种简捷有效的数值计算方法——超级有限元法,首先介绍其一般原理,继而针对一大类复杂桁架空间杆系组合结构准三维化处理(用一维变量加以表征),并将其离散成一系列单元,考虑弯曲、剪切、挤压、拉伸压缩、扭转等多种非经典变形效应,通过采用构件端部自由度向超级元自由度的转换而把复杂多构件问题的求解变为少量一维结点变量问题的求解,既达到了简化的目的,又保证了精度,而且可方便地与通常的有限元法结合使用。文中还给出了有关杆系组合结构分析的数值算例。In this paper,a new numerical computational method called the super FEM(finite elementmethod),being the union of methods of synthetic discrete and the FEM,is proposed for the static anddynamic analyses of various built-up structures with truss member system.The structures,being par-titioned into many one-dimensional non-classical elements,being considered to sustain bending,shearing,tension and compression,extrusion and torsion,is analysed with the FEM.The simplicity,versatility and the accuracy of the proposed method is well demonstrated by numerical examples ofanalyses of complex structures as given in this paper.

关 键 词：超级有限元法 桁架组合结构 

分 类 号：TU398.9[建筑科学—结构工程]