斜放四角锥网架的拟夹层板分析法

本文把斜放四角锥网架连续化为构造上的夹层板来分析。在拟夹层板的计算模型中,既考虑了板的横向剪切变形,又考虑了板的弯曲变形与平面变形的偶合作用,从而较好地反映了这种网架的受力状态。文中给出了斜放四角锥网架拟夹层板的基本方程式,它可归纳为对于一个广义位移函数w的十阶偏微分方程式,并给出了拟板内力换算成网架杆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解析解,并根据某些主要参数、编制了内力、位移计算用表。此外,指出了所谓假想弯矩法,是本文方法的一个退化了的特例。

Analysis of Diagonal Square Pyramid Space Grids by Sandwich Plate Analogy Method

In this paper,the double-layer diagonal squarc pyramid space grids (Square on Diagonal)are idealized as sardwich plates ard analysed by the non-classical theory of Plate.In the calculating model of the analogous sandwich Plate the transverse shear deformation is taken into consideration as well as the eaupling behavior of bending deformation and Plane deformation The dasic partial differential epuation in tenth order for analogous Plate of such space grid, and the formulas for calculating internal forces of members are giren. The analytic solution expressed in double trigonometric series is presented, and design tables for calculating internal forces and displacements are worked out for space grid simply supported at its perimeter. It is also pointed out that the so-called fictitious moment method is a degenerated special case of the proposed method.