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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 structure is a new type of space structure with reasonable performance and good technical and economic benefits. In this paper, a continuous analysis method is proposed for plate-cone grid shell structure. Based on the principle of stiffness equivalence, the stiffness of equivalent shell of cone-plate grid shell structure is deduced by the basic method of elastic mechanics. The continuum is a special form of three-layer shell that can act together. The basic differential equations of displacement and mixing methods are established according to the shell theory. Through the solution of differential equation, calculate the overall displacement and structural forces. The method has a certain degree of precision, can macroscopically understand the mechanical properties of the structure, and can be used for the preliminary design of plate cone reticulated shell structure.