考虑支承的大跨度索膜结构整体分析与设计

基于修正的拉格朗日法,建立非线性有限元平衡方程,介绍了空间梁单元非线性刚度矩阵。针对此类结构在形态分析及设计中的难点问题,提出利用定力单元、定形单元和微调单元建立数值模型。采用AutoCAD二次开发工具ObjectARX编制有限元软件,能够进行考虑支承的大跨度索膜结构整体分析与设计。以芜湖体育场为工程背景,进行了形态分析和长期荷载组合下的反应。计算结果表明,本文所提方法和有限元软件显著地提高了设计工作的效率,并能准确地获得满足设计要求的结构初始形态及受力分析数据,便于实际工程的设计应用。

Analysis and design of long-span cable-membrane structures integrated with supported structure

To consider the large displacement,the nonlinear finite element equilibrium equation is established and the nonlinear stiffness matrices of spatial beam element are introduced by means of Updated Lagrange method.According to special technical problems in the form-finding of long span cable-membrane structures with supported structure,a very powerful approach is presented to avoid the larger displacement of shape controlling points by applying prestress-fixed members,shape-fixed members and adjustable members.Meanwhile,a software is developed on the basis of secondary development tools provided by AutoCAD to make the numerical model establishment more efficient.Wuhu stadium is analyzed as a study case.The form-finding and loading analysis show the presented method and software are accurate and efficient for the analysis and design.