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.
出处
《力学季刊》
CSCD
2000年第2期254-261,共8页
Chinese Quarterly of Mechanics
关键词
单索
索单元
刚度方程
非线性
数值分析
cable
cable element
stiffness formula
nonlinear
numerical analysis
