一般情况下小垂度索的刚度方程及其应用  

Stiffness Formula of Cable Element under General Situations and Its Application

作　　者：路志浩[1] 陈以一[1] 

机构地区：[1]同济大学,上海200092

出　　处：《力学季刊》2000年第2期254-261,共8页Chinese Quarterly of Mechanics

摘　　要：索单元的刚度随变形而变化,索结构的力学分析是一个典型的几何非线性问题,因而在数值分析中单索的刚度方程显得尤为重要。由于许多文献中常见的单索刚度方程在推导时忽略了索单元弦向倾角的影响,用来进行结构计算尚存在一定的误差。本文因此考虑了影响索单元刚度的弦向倾角等因素,推导了一般情况下小垂度索的显式表达刚度方程,并运用该刚度方程进行结构数值分析,与采用近似刚度方程的分析结果进行了比较,给出了近似刚度方程与本文刚度方程比较的误差情况,以及常用近似刚度方程大致的适用性范围。Since the stiffness of the cable element changes with its deformation, and the analysis of cable structures is a typical geometrically nonlinear problem, the stiffness formula of cable element is especially important. For the inclined situation of the cable element isn t taken into account in deducing the simplified stiffness formula which is usually used in some literature, it will cause error to some extent. In this paper, the stiffness formula is deduced more accurately by considering the effect of the inclined situation, and is used in the numerical analysis of cable structures. The error of the simplified stiffness formula is given by comparing the numerical result using the simplified formula and that of using the siffness formula of this paper.

关 键 词：单索 索单元 刚度方程 非线性 数值分析 

分 类 号：TU365[建筑科学—结构工程]