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索支撑空间网格结构是一种适合于玻璃采光顶结构特点的新型单层网壳结构形式。目前对于索支撑空间网格的研究主要集中在几何建模、网格划分、整体稳定性能和静力性能等方面,在索支撑空间网格结构形态优化方面国内外的研究和应用还相对较少。采用了基于结构整体应变能为目标函数的共轭梯度法对单层柱面索撑网壳结构进行形态优化。首先,介绍了形态优化方法的选取,然后介绍了以应变能为目标函数的共轭梯度法。最后针对单层柱面索撑网壳,以结构的整体应变能为目标函数,曲面高度作为设计变量,结构的位移和矩形钢管的最大应力作为状态变量,采用共轭梯度法,通过调整曲面高度,寻找到了具有最小应变能的高刚度的较优曲面,并对该曲面进行了理论分析。
Cable support space grid structure is a new type of single-layer reticulated shell structure suitable for the characteristics of glass lighting roof structure. At present, the research on space-grid supported by cables mainly focuses on geometric modeling, meshing, overall stability and static performance. In terms of the morphological optimization of cable-supported space grid structures, there are relatively few researches and applications at home and abroad . The conjugate gradient method based on the overall strain energy of the structure is adopted to optimize the shape of the single layer cylindrical cable stayed shell structure. Firstly, the selection of morphological optimization methods is introduced, and then the conjugate gradient method with strain energy as the objective function is introduced. Finally, aiming at the single layer cylindrical cable-stayed shell, the overall strain energy of the structure is taken as the objective function, the height of the curved surface is taken as the design variable, the displacement of the structure and the maximum stress of the rectangular steel pipe are taken as the state variables. By using the conjugate gradient method, , Finding the better curved surface with the highest stiffness with the minimum strain energy and analyzing the surface theoretically.