正交正放类网架结构的拟板(夹层板)分析法(上)

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。

Analysis of Orthogonal and Ortho-laid Space Truss as Equivalent (Sandwich ) Plate ( Part I)

In this paper the orthogonal and ortho-laid space truss has been assumed as orthotropic sandwich plate and is analysed by the theory of plate with consideration of shear deformation and three generalized displacements. The differential equation, the expressions for bending stiffness and shear stiffness of such space truss, as well as the formulas for calculating internal forces of its members are given. The solution expressed in double trigonometric series is presented and design tables for calculating internal forces and displacements are worked out for space truss simply supported at its perimeter. In addition, the influence of shear deformation and that of unequal stiffness, or of variable stiffness in two directions are discussed and simplified approximate formulas are given. Numerical examples have been also included in this paper.The research results presented in this paper have been adopted into "The Specification for Design and Construction of Space Truss (JGJ 7-80 ) " in China.