局部单双层网壳的初步优化

Preliminary Optimization of Partial Single-layer Reticulated Shells Based on Uniform Design

局部单、双层网壳结构的设计涉及截面、形状和拓扑优化。为满足初步设计对计算效率的要求,采用均匀设计法来实现结构的多级别优化。实验设计使用现有的网壳结构设计软件,对计算结果进行回归分析,得到指标(用钢量、变形、基频和最小非线性屈曲荷载)与变量(网壳矢高、单层部分范围和单层部分杆件设计应力比)之间的近似函数关系。求解简单的规划问题,得到变量之间的最优水平组合。一个点支承六边形局部单、双层网壳的比较设计说明了方法的效率和可靠性。

Size, shape and topology optimizations are involved in the structural design of partial single-layer reticulated shells. To meet the requirements of computation efficiency during preliminary design, a uniform design method was adopted to achieve multi-level optimization. Only existing software packages for reticulated shells were used in the experiment design. By regressing the computing data, approximate functional relations between the indexes （steel weight, deflections, basic frequency, and minimal nonlinear buckling load） and variables （rise of the shell, single-layer area, and design stress ratio for single-layer members） were obtained. The best combination of the variables was acquired by solving a simple programming problem. Comparative design of a multipoint-supported hexagonal reticulated shell verified the efficiency and reliability of this approach.