索杆张力结构几何稳定性分析

索杆张力结构是指由张力索和压杆组成的、具有预应力自平衡的新颖结构体系. 本文详细阐述这种结构的基本概念和结构特征 ,讨论结构静动定体系特性和几何稳定性判定分析方法,指出索杆张力结构应具有一阶无穷小机构的几何稳定体系. 文中采用奇异值分解方法计算结构平衡矩阵的秩,并计算独立机构位移模态和自应力模态. 最后 ,对几种典型的索杆张力结构进行了算例分析.

Geometrical stability analysis of cable-strut tensile structures.

The cable strut tensile structures are the self stress equilibrium systems composed by tensional cables and struts. In this paper, the basic concept of the structures was described. The analysis methods of the structural characteristics(statically and kinematically determinate or indeterminate) and the geometrical stability were presented. It is indicated that the cable strut tensile structures are in stable equilibrium with first order infinitesimal mechanisms. The ranks of equilibrium matrix were calculated by employing the singular value decomposition, and the independent modes of inextensional mechanisms and the states of self stress were also obtained in the same way. This paper contains some typical examples which illustrate all of the main points of the work.