具有扭转自由度的五节点索单元非线性有限元法  

A Finite Element Method with Five-node Cable Element With Aaxial Rotational Freedom

作　　者：黄涛[1] 周金枝[1] 朱若燕[1] 

机构地区：[1]湖北工业大学土木工程与建筑学院,武汉430068

出　　处：《武汉理工大学学报（交通科学与工程版）》2010年第6期1150-1153,1158,共5页Journal of Wuhan University of Technology（Transportation Science & Engineering）

基　　金：湖北省教育厅中青年人才项目资助

摘　　要：常见的索单元不具有沿轴向的转动自由度,但是在研究输电线覆冰舞动时,轴向的扭转不可忽略,基于此,提出一种新的通用的五节点索单元非线性有限元模型.该模型具有转动自由度,并考虑轴向变形与扭转变形的耦合,采用四次多项式作为位移插值函数及单元形状函数,运用全La-grangian坐标描述法,由虚功原理建立了有限元基本方程和单元切线刚度矩阵,集成后利用New-ton-Raphson法迭代求解.这样建立的非线性有限元分析方法不仅适用于一般悬索结构的分析,也适用于输电线这类需考虑扭转的特殊悬索结构的分析.算例结果表明,方法正确有效,具有较好的通用性,适用于各类悬索结构的分析、设计.This paper presented a new universal finite element method with five-node cable element which has axial rotational freedom for the geometrically non-linear analysis of cable structures.In the method,the coupling between axial deformation and torsion deformation was considered and the fourth order polynomial was used as displacement functions and initial curve of the element.By means of the principle of virtual displacement principle and the total Lagrangian method,the finite element equation and the stiffness matrix of the cable element were obtained.The method not only can be used to analyze ordinary cable structure,but also is suitable for special cable structure such as transmission line which torsion needs to be considered.The results of two examples show that the paper＇s method is very precise and valid.

关 键 词：悬索结构 扭转自由度 非线性有限元 

分 类 号：TU311[建筑科学—结构工程]