东南大学学报（英文版）2005，Vol.21Issue(4)：480-485,6.
一种用于空间框架结构几何非线性分析的切线刚度矩阵
New tangent stiffness matrix for geometrically nonlinear analysis of space frames
顾建新 1陈绍礼2
作者信息
- 1. 东南大学图书馆,南京,210096
- 2. 香港理工大学土木与结构工程系,中国香港
- 折叠
摘要
Abstract
A three-dimensional beam element is derived based on the principle of stationary total potential energy for geometrically nonlinear analysis of space frames. A new tangent stiffness matrix, which allows for high order effects of element deformations, replaces the conventional incremental secant stiffness matrix. Two deformation stiffness matrices due to the variation of axial force and bending moments are included in the tangent stiffness. They are functions of element deformations and incorporate the coupling among axial, lateral and torsional deformations. A correction matrix is added to the tangent stiffness matrix to make displacement derivatives equivalent to the commutative rotational degrees of freedom. Numerical examples show that the proposed element is accurate and efficient in predicting the nonlinear behavior, such as axial-torsional and flexural-torsional buckling, of space frames even when fewer elements are used to model a member.关键词
梁单元/空间框架/切线刚度矩阵/弯扭屈曲/二阶效应/几何非线性Key words
beam elements/space frames/tangent stiffness matrix/flexural-torsional buckling/second-order effects/geometric nonlinearity分类
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顾建新,陈绍礼..一种用于空间框架结构几何非线性分析的切线刚度矩阵[J].东南大学学报（英文版）,2005,21(4):480-485,6.
