折叠结构的受力分析

Computer Analysis of Deployable Structures

本文给出了折叠结构处于张开承载状态时的内力分析方法。对折叠结构的基本单元—剪式铰，由两跨连续梁的力、位移关系简捷地推导出了它的单元刚度矩阵。为了分析折叠结构中钢索的受力状况，本文引入了一个轴力向量，通过数学变换将非线性结构的分析问题变为一个线性互补问题，用Ｌｅｍｋｅ算法解出轴力向量，进而求出结构的位移和内力。文末给出的算例证明了算法的可靠性和有效性。

This paper presents a method for the computer analysis of deployable structures at fully deployed state.the element stiffness matrix for the basic component of deployable structures, namely the pantograph,is derived simply and directly from the force-displacement relationship of the two-span continuous beam.A force vector is introduced to analyze axialforces of cables in the structure.The nonlinear analysis of the structure is transformed into alinear complementary problem,which is solved using Lemkc's method.Two numerical examples are given.The results show that the method is reliable and efficient.