局部单双层网壳的初步优化

肖建春; 刘家坤; 苟卡西; 韩志刚; 马克俭

doi:10.11835/j.issn.1674-4764.2008.04.013

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局部单双层网壳的初步优化

更新时间：2023-11-28

- 局部单双层网壳的初步优化
- Preliminary Optimization of Partial Singlelayer Reticulated Shells Based on Uniform Design[JP]
- 土木与环境工程学报（中英文） 2008年30卷第4期页码：58-63
- 作者机构：
  
  贵州大学空间结构研究中心, 贵州贵阳550003
- 作者简介：
- 基金信息：
- DOI：10.11835/j.issn.1674-4764.2008.04.013
  中图分类号：
- 纸质出版：2008
- 稿件说明：
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肖建春, 刘家坤, 苟卡西, 等. 局部单双层网壳的初步优化[J]. 土木与环境工程学报（中英文）, 2008,30(4):58-63.

XIAO Jianchun, LIU Jiakun, GOU Kaxi, et al. Preliminary Optimization of Partial Singlelayer Reticulated Shells Based on Uniform Design[JP][J]. Journal of Civil and Environmental Engineering, 2008, 30(4): 58-63.
肖建春, 刘家坤, 苟卡西, 等. 局部单双层网壳的初步优化[J]. 土木与环境工程学报（中英文）, 2008,30(4):58-63. DOI： 10.11835/j.issn.1674-4764.2008.04.013.

XIAO Jianchun, LIU Jiakun, GOU Kaxi, et al. Preliminary Optimization of Partial Singlelayer Reticulated Shells Based on Uniform Design[JP][J]. Journal of Civil and Environmental Engineering, 2008, 30(4): 58-63. DOI： 10.11835/j.issn.1674-4764.2008.04.013.

摘要

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。

Abstract

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.

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