SVD方法在折叠结构分析中的应用  

THE SVD METHOD AND ITS APPLICATION IN THE ANALYSIS OF FOLDABLE STRUCTURE

作　　者：赵洪斌[1] 吴知丰[1] 谢礼立[1] 

机构地区：[1]哈尔滨工业大学,黑龙江哈尔滨150090

出　　处：《工程力学》2006年第3期11-16,共6页Engineering Mechanics

基　　金：高等学校博士学科点专项科研基金资助项目(20030213042);黑龙江省自然科学基金资助项目(ZJG03-03;E0228)

摘　　要：折叠结构是近年来应用越来越广泛的一种可展开结构形式。将折叠结构分类为刚性和柔性折叠结构。引入了平衡矩阵的奇异值分解(SVD)方法并解释了其力学含义。采用该方法对静不定动不定折叠体系进行了求解,确定了铰接式折叠结构的运动分歧点并求解了其高阶相容方程。给出了悬臂和拱形折叠结构及铰接式三杆折叠结构的算例分析。As one kind of deployable structures, foldable structures are widely used lately. The foldable structure is classified into the rigid foldable structure and the flexible foldable structure. The Singular Value Decomposition （SVD） method for the equilibrium matrix is developed and a physical explanation is given. With this method the structural analysis of static and kinematic indeterminate foldable systems is conducted and the kinematic bifurcation points of pin-connected foldable structures along motion paths are determined. The high level compatibility equation of pin-connected foldable structures is analyzed by this method. As examples, numerical analyses have been conducted on the cantilever and arch foldable structures as well as the foldable structure pin-connected with three bars.

关 键 词：折叠结构 力法 奇异值分解 剪铰单元 分歧点 

分 类 号：TU31[建筑科学—结构工程]