四节点索单元的悬索结构非线性有限元分析  

The Non-Linear Finite Element Analysis of Cable Structures Based on Four-Node Isoparametric Curved Element

作　　者：武建华[1] 苏文章[1] 

机构地区：[1]重庆大学土木工程学院,重庆400045

出　　处：《重庆建筑大学学报》2005年第6期55-58,共4页Journal of Chongqing Jianzhu University

摘　　要：针对柔性悬索结构几何非线性的特点,提出了一种四节点等参曲线索单元有限元模型,并采用三次多项式作为位移插值函数及单元初形状函数,基于修正的Lagrangian坐标描述法,从虚功原理出发推导出单元基本方程和单元切线刚度矩阵,集成后利用Newton-Raphson法求解并编制了程序进行实例计算。结果表明,本文方法精度很高且收敛速度快,可供悬索及索网等张拉结构分析、设计时采用。In this paper, based on the geometric nonlinear behavior of cable structures, a finite element method with four - node isoparametric element was presented, the third order polynomial was used as displacement functions and initial curve of the element. By means of the principle of virtual work and the updated Lagrangian method, the authors derived the finite element equations, and solved them by Newton - Raphson method.The proposed model leads to high precision and can meet the engineering requirements. The model presented in this paper can be applied in the analysis of long - span tension structures, such as cable structures, cable domes and so forth.

关 键 词：悬索结构 四节点等参索单元 几何非线性 

分 类 号：TU311[建筑科学—结构工程]