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本文把正交正放类平板型网架结构假设为构造上正交异性的夹层板,采用考虑剪切变形的具有三个广义位移的平板弯曲理论来分析。文中给出了这类网架结构拟板的基本方程式、弯曲刚度和剪切刚度的表达式以及由拟板内力换算成网架构件内力的一般计算公式。对于常用的周边简支网架,求得了基本方程式的级数形式的解析解,并编制了内力、位移计算用表。与此同时,还分析了考虑网架剪切变形、两向不等刚度和变刚度的影响,给出了简化计算的近似公式。文中附有计算例题。 本文的研究成果已被我国《网架结构设计与施工规定》(JGJ 7-80)采用。
In this paper, we assume that the orthogonal orthostatic flat plate-type grid structure is a structurally orthotropic sandwich plate, and the plate bending theory with three generalized displacements considering the shear deformation is used for analysis. In this paper, the expressions of basic equations, bending stiffness and shear stiffness of the quasi-board structure of this kind of network structure and the general calculation formula of the internal forces of the buckling system from the quasi-plate internal forces are given. For the commonly used simple support nets, the analytical solution of the series form of the basic equations is obtained, and a table for calculating internal forces and displacements is prepared. At the same time, the influence of the shear deformation of the grid, the unequal stiffness in two directions, and the variable stiffness are also analyzed. The approximate formula for simplifying the calculation is given. Examples of calculations are attached to the text. The research results of this paper have been adopted by China’s “Regulations for the Design and Construction of Grid Structures” (JGJ 7-80).