梁和框架结构的大变形非线性分析  

Large deformation nonlinear analysis on beams and frame structures

作　　者：杨东全[1] 蒲文国[1] 

机构地区：[1]海南大学土木建筑工程学院,海南海口570228

出　　处：《山西建筑》2011年第21期18-19,共2页Shanxi Architecture

摘　　要：描述了有限元方法分析梁和框架结构的几何非线性问题,考虑大转动的影响,在有限转动公式的级数展开式中,取二阶近似,从而形成线性刚度矩阵和几何刚度矩阵,推导了大变形情况下梁的本构方程,算例表明:对于较复杂的几何非线性问题,本文提出的方法是有效的。This paper analysed the geometrically nonlinear problem of beams and frame structures using finite element method, considering the influence of large rotating, in series expansion of finite element turn formula, got second order approximation, thus formed linear stiffness matrix and geometric stiffness matrix. Derived the constitutive equation of beam under large deformation. The example showed that： for more complex geometric nonlinear problem, the method proposed in this paper was effective.

关 键 词：大转动 梁单元 大变形本构方程 非线性有限元 

分 类 号：TU312[建筑科学—结构工程]