基于UL列式的带刚臂平面杆元非线性分析  

The non-linear analysis for plane truss element with rigid arms based on UL formulation

作　　者：刘海波[1] 邓继华[2,3] 邵旭东[3] 

机构地区：[1]湖南交通规划勘察设计院,湖南长沙410008 [2]长沙理工大学土木与建筑学院,湖南长沙410004 [3]湖南大学土木工程学院,湖南长沙410081

出　　处：《长沙理工大学学报（自然科学版）》2011年第2期40-44,共5页Journal of Changsha University of Science and Technology:Natural Science

基　　金：国家自然科学基金资助项目(51008036);湖南省交通科技项目(200706)

摘　　要：为了解决平面杆元在相交处可能存在的刚性连接问题,根据带刚臂平面杆元在受力后的运动和变形特点,基于UL法,推导出两端带任意刚臂的平面杆元的切线刚度矩阵.利用该研究成果编制了程序,对无刚臂和有刚臂的平面杆结构进行几何非线性分析.计算结果证明了这种非线性单元列式的正确性和非线性求解过程的收敛性.A UL formulation is proposed to address the nonlinear analysis of plane truss element with rigid arms in this paper. According to the characteristics of the motion and deformation of a rigid-ended plane truss element, an expression of non-linear tangent stiffness matrix is derived by UL procedure. A computer program is developed to analyze the geometrical nonlinear behavior of the plane truss with and without rigid arm. The results demonstrate that the proposed innovative element and algorithm are efficient and accurate together with satisfied convergence, and illustrate promising applicability for practical projects.

关 键 词：刚臂 平面杆元 几何非线性 UL列式 切线刚度矩阵 

分 类 号：TU323[建筑科学—结构工程]