单层柱面索撑网壳结构的形态优化  

Shape Optimization of Single-Layer Cable-Braced Cylinder Grid Shells

作　　者：杨建林[1] 葛金明 

机构地区：[1]江苏城乡建设职业学院,江苏常州213147 [2]江苏筑森建筑设计有限公司,江苏常州213000

出　　处：《建筑钢结构进展》2015年第4期37-42,共6页Progress in Steel Building Structures

基　　金：国家自然科学基金(50908044)

摘　　要：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-braced grid shell, which is widely used in glass roofs, is a new type of single-layer reticulated shell. At present, the research on cable-braced grid shells is mainly focused on the modeling, meshing, stability and static performance. The research on the shape optimization of cable-braced grid shells is very limited. In this paper, a shape optimization method for single-layer cylinder grid shells is proposed. The shape optimization method is firstly introduced. Then the conjugate gradient method, considering the strain energy as objective function, is presented in details. Finally, a single-layer cylinder grid shell is modeled based on the first order optimization method. In this method, the structure strain energy is considered to be the objective function, the surface height is considered as design variable, and the displacement and the maximum stress of rectangular steel pipe are considered as state variables. The optimal surface with the minimum strain energy is identified by means of adjusting surface height parameters. At last, the optimal surface is analyzed theoretically.

关 键 词：柱面索撑网壳 形态优化 共轭梯度法 应变能 力学性能 

分 类 号：TU33[建筑科学—结构工程] TU393.3