索杆张力结构初始预应力分布计算方法研究-工程力学.PDFVIP

第25 卷第5 期 Vol.25 No.5 工 程 力 学 2008 年 5 月 May 2008 ENGINEERING MECHANICS 137 文章编号：1000-4750(2008)05-0 137-05 索杆张力结构初始预应力分布计算方法研究 *任 涛，陈务军，付功义 (上海交通大学空间结构研究中心，上海 200030) 摘 要：索杆张力结构是具有预应力自平衡的结构体系，具有静不定、动不定特征。初始预应力分布的计算是张 力结构受力分析的基础。该文从力密度法表示的基本平衡方程出发，采用线性调整理论，利用最小二乘解，推导 出张力结构找形分析列式，建立了结构的初始预应力分布计算方法。用MATLAB 语言编制了程序并进行数值分 析，算例结果表明该文分析方法正确、有效。 关键词：索杆张力结构；线性调整理论；初应力分布；力密度；找形 中图分类号：TU356; O211.1 文献标识码：A INITIAL PRESTRESS COMPUTATION PROCEDURES FOR TENSILE CABLE-STRUT STRUCTURE * REN Tao , CHEN Wu-jun , FU Gong-yi (Space Structure Research Center, Shanghai Jiaotong University, Shanghai 200030, China) Abstract: The tensile cable-strut structure is statically and kinematically indeterminate, which is a self-equilibrate prestressed system. The calculation of initial prestress is fundamental to the following structural analysis. In this paper, a new numerical computation procedure is developed for the initial prestress calculation of tensile cable-strut structure. The force density method is the cornerstone of the analytical formula. And with the introduction of linear adjustment theory and the use of the least square least norm solution, the form-finding analysis and the initial prestress are formulated. A program is coded with MATLAB Language according to the algorithm developed in the context, and a series of numerical analyses have been carried out and verified. Numerical results show that the method is accurate and effective. Key words: cable-strut tensile structure; linear adjustment theory; the distribution of i