面向几何坐标的张拉整体结构找形算法  

Geometry-oriented form-finding method for tensegrity

作　　者：陆金钰[1] 李娜[2] 范圣刚[1] 

机构地区：[1]东南大学土木工程学院,混凝土与预应力混凝土教育部重点实验室,南京210096 [2]南京林业大学机械电子工程学院,南京210037

出　　处：《深圳大学学报（理工版）》2012年第3期211-216,共6页Journal of Shenzhen University(Science and Engineering)

基　　金：国家自然科学基金资助项目(51008065);江苏省自然科学基金资助项目(BK2010428)~~

摘　　要：提出一种可满足给定几何坐标的张拉整体结构找形方法.从结构平衡方程的2种不同形式出发,借助平衡矩阵奇异值分解与力密度矩阵特征值分解后得到的正交向量,分别构造自应力及几何坐标,并引入节点坐标作为约束条件,给出基于构件自应力与节点坐标非线性迭代的求解技术及其算法流程.结果表明,只需给出结构拓扑连接关系及若干已知节点坐标,找形算法便可用于寻找满足给定几何外形的张拉整体以及新的非规则张拉整体形式.A new form-finding method for computing the given nodal coordinates tensegrity was proposed. The equilibrium equation was formulated in two different ways. Based on the orthogonal vectors that were generated by the singular value decomposition of equilibrium matrix and eigenvalue decomposition of force density matrix, the self stress modes and nodal coordinates were obtained, respectively. The given nodal coordinates were introduced as constraint conditions. Self stress modes and nodal coordinates were calculated iteratively until the results converge, and the corresponding procedure was established. The topology and a set of nodal coordinates were specified in this method. The proposed approach can be applied to the form-finding of tensegrity with required shape, and the form-finding of novel nonregular tensegrity system.

关 键 词：结构工程 张拉整体结构 找形算法 节点坐标 平衡矩阵 力密度矩阵 

分 类 号：TU393[建筑科学—结构工程]