中文摘要：

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。

英文摘要：

To consider the large displacement, the nonlinear finite element equilibrium equation is estab- lished 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-mem- brane structures with supported structure,a very powerful approach is presented to avoid the larger dis- placement of shape controlling points by applying prestress-fixed members, shape-fixed members and ad- justable members. Meanwhile,a software is developed on the basis of secondary development tools pro- vided 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 accu- rate and efficient for the analysis and design.