网状球壳的连续化分析方法

本文对四向杆系、三向杆系、两向杆系组成的各种网状球壳,探讨了基于连续化计算模型的拟壳分析法,给出了网壳等代薄膜刚度和抗弯刚度的表达式,建立了轴对称网状球壳拟壳法的一般性基本方程式,并采用薄膜理论加边界效应的分析方法进行计算。文中给出了如何由壳体内力反算各种网状球壳杆件内力的计算公式,文末附有算例。计算表明,这种连续化的拟壳分析法比较方便,手算电算均可。此外,本文还就常用网状球壳的形式和分类作了讨沦。

Continuum Analogy Method for Analyzing Latticed Spherical Shells

In this paper, various latticed spherical shells composed of four-way, three-way and two-way member systems are analyzed by the shell analogy method based on the continuum calculation model. The expressions for equivalent membrane rigidities and bending rigidities as well as the general basic equations of the shell analogy method for axi-symmetrical latticed spherical shells are given. The membrane theory combined with the boundary effects to complete the calculations is adopted in the paper. The calculating formulae of how to use the forces of shell to calculate inversely the members' internal forces of different kinds of latticed spherical shells are presented as well. A numerical example is given at the end of this paper. The results show that the shell analogy method is quite convenient, as it can be clone by hand or by computers. Furthermore, types and classifications of latticed spherical shells in common use have also been discussed in the paper.