板锥网壳结构的拟三层壳分析法

Three-layer Shell Method for Plate-cone Reticulated Shell

板锥网壳结构是一种受力性能合理 ,技术经济效益良好的新型空间结构形式。本文对板锥网壳结构提出了一种连续化的分析方法 ,根据其受力特点按照刚度等效的原理 ,采用弹性力学的基本方法推导出板锥网壳结构的等代壳体刚度 ,将其连续化为能共同作用的特殊形式的三层薄壳 ,按薄壳理论建立其位移法和混合法的基本微分方程。通过对微分方程的求解 ,计算其整体位移及结构内力。该法具有一定的精度 ,可宏观地了解结构的力学性能 ,并可用于板锥网壳结构的初步设计。

Plate cone reticulated shell is a new type of space structure with good mechanical behavior and technical economy. In this dissertation,a continuum analogy method for plate cone reticulated shell which is equivalent to the three layer shell analogy method is put forward.Based on mechanical characteristics of plate cone reticulated shell,the equivalent stiffness is derived through the theory of elasticity.Then,the plate cone reticulated shell is equated to a special type of three layer thin shell working interactively,the governing differential equations are derived on the basis of the theory of thin shells,these differential equations being derived from the displacement method and the mixed method of derivation.The solution of this system of differential equations gives the displacements and internal forces.