索穹顶结构非线性有限元分析  

A NONLINEAR FINITE ELEMENT METHOD FOR ANALYSING CABLE DOMES

作　　者：唐建民[1] 钱若军[1] 蔡新[1] 

机构地区：[1]同济大学,河海大学

出　　处：《空间结构》1996年第1期12-17,共6页Spatial Structures

基　　金：国家自然科学基金

摘　　要：本文基于非线性弹性理论，采用两节点铰接单元，对大跨度空间索穹顶结构进行了非线性静力分析。在三维整体坐标系下，直接根据应变的定义建立了精确应变的非线性几何关系，从而可以考虑任意次高阶位移的影响，得到了轴向应力一应变的直接关系，并基于虚功原理建立了单元的非线性有限元增量方程及对称的切线刚度矩阵，且利用Ｎｅｗｔｏｎ－Ｒａｐｈｓｏｎ法进行了实例计算，结果表明，本方法精度较高，适合于索穹顶结构的设计计算。In the paper,a nonlinear finite element method with two nodes straight-line element was applied in the analysis of long span spatial cable domes in terms of nonlinear theory elastically.Under the whole coordinate of three dimensions, by means of the definition of the Lagrangian strain,the nonlinear geometrical exPression of the precise strain was set up,with which the effects of the displacement with the terms of any high orders could be considered. Using the virtual displacement principle,the incremental finite element equation is derived and the tangent stiffness matrix is obtained. With Newton-Raphson method,one example is computed. Comparing with the analytical method in reference [1],the method presented in this paper is POssessed of a good precision,and can be applied in the analysis of cable domes.

关 键 词：索穹顶结构 非线性有限元分析 全张力大跨度空间结构 切线刚度矩阵 非线性弹性理论 虚功原理 

分 类 号：TU393.301[建筑科学—结构工程]