湖南大学学报（自然科学版）2012，Vol.39Issue(5)：8-12,5.
基于U.L列式的带刚臂平面梁元非线性分析
Non-linear Analysis of Plane Beam Element with Rigid Arms Based on U.L Formulation
摘要
Abstract
A U. L formulation was proposed for the nonlinear analysis of plane beam element with rigid arms. According to the characteristics of the motion and the deformation of a rigid-ended plane beam element, an explicit expression of non-linear tangent stiffness matrix was derived by U. L procedure. The deficiency of the reference that neglects the effects of element inner-force on additional term of the tangent stiffness matrix was improved to solve the divergence for strong nonlinear problems. An accurate deformation algorithm was presented, and a detailed calculation procedure was provided. A computer program was developed to analyze the geometrical nonlinear behavior of the plane beam with and without rigid arm. The results have demonstrated that the proposed innovative element and algorithm are efficient and accurate with satisfied convergence, and have promising applications in practical engineering projects.关键词
刚臂/平面梁元/几何非线性/U.L列式/切线刚度矩阵Key words
rigid arm/plane beam element/geometric nonlinear/U. L formulation/tangent stiffness matrix分类
建筑与水利引用本文复制引用
邓继华,邵旭东..基于U.L列式的带刚臂平面梁元非线性分析[J].湖南大学学报（自然科学版）,2012,39(5):8-12,5.基金项目
国家自然科学基金资助项目(50778071) （50778071）
