网架-平板组合结构的简化计算法(上)

本文研究并提出了网架-平板组合结构的简化分析方法。这种分析方法是将组合结构的平板部分,根据各种不同形式的网架折算为四组或三组平面交叉杆系,从而使这种比较复杂的组合结构转化为一个等代空间铰接杆系结构,由一般空间桁架位移法直接进行计算。文中详细地讨论了两向正交类网架、两向斜交类网架、三向类网架及蜂窝形三角锥网架等各种网架-平板组合结构的具体计算方法,并给出了相应的等代杆系刚度和板中内力的计算公式,并且附有算例。

Simplified Calculation for Analyzing Space Truss and Plate Composite Structures

In this paper a simplified method for analyzing space truss and plate composite structures is studied. According to the theorem of energy,the plate of the composite structure is idealized as a three-way or four-way planar truss system. The space truss and plate composite structure may be assumed as an equivalent space truss system which can be solved by the matrix displacement method, Methods for computing space truss and plate composite structures with various kinds of space grids, such as two-way orthogonal space grids,two-way heterotropic space grids, three-way space grids and triangular pyramidal space grids of honeycomb pattern are discussed. The corresponding expressions for stiffness of equivalent planar members and internal forces in plates are given with numerical examples in the paper.