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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。
In this paper, the oblique quadrangular pyramid grids are continuously analyzed as structural sandwich plates. In the calculation model of the proposed sandwich plate, not only the transverse shear deformation of the plate but also the coupling of the bending deformation and plane deformation of the plate is taken into consideration, which better reflects the stress state of the grid. In this paper, the basic equations for the oblique sandwiched quadrangular pyramid grid sandwich plate are given. It can be summarized as a tenth-order partial differential equation for a generalized displacement function w, and the internal forces of the bar-to-shelf member are also calculated Calculation formula. For the commonly used simple support nets, the analytical solution of the basic equations was obtained, and according to some main parameters, the internal force and displacement calculation tables were compiled. In addition, it is pointed out that the so-called imaginary bending moment method is a degenerate special case of this method.