大跨度双层扭网壳结构的优化分析

Optimization of Large Span Double-layer Torsional Reticulated Shell

在构造双层扭网壳结构优化的最小造价目标函数后,以网壳结构的矢跨比、网格尺寸、网厚度为设计变量,采用0.618法与穷举法,编制了优化设计程序LSD,通过优化计算,得出结构在轻屋面体系时,跨度在50～80m的最优网格尺寸和厚度,并将计算结果归纳为经验公式。

The objective function of minimum cost is established for double layer torsional reticulated shell, taking the rise-span ratio, grid size and shell thickness as design variables. Based on the exhaustion and 0.618 methods, the computing program LSD has been developed. For the double layer torsional reticulated shell with the span of 50 m to 80m, the optimal grid size and thickness have been obtained for systems of light roof materials with different spans. Empirical formulas are deduced from the results.