单层网壳结构的局部加肋渐进式拓扑优化方法

doi:10.16183/j.cnki.jsjtu.2023.490

摘要/Abstract

摘要：

研究单层网壳结构的局部加肋拓扑优化对提升其经济性与整体稳定性有重要意义.针对单层网壳结构,以结构用钢量为评价指标,基于渐进结构优化算法,提出局部加肋拓扑优化方法.根据结构中杆件的内力分布计算应变能,结合单层网壳结构的特点建立网格加强评价准则,在迭代运算中增加锥体加强应变能过大的网格,删除应变能过小的新增锥体,比较优化前后网壳结构的用钢量与整体稳定性,验证结构优化方法的可行性.经拓扑优化得到新的局部加肋单层网壳结构,相较于初始结构,优化后的结构用钢量减小,并且整体稳定性提高,结果可为单层网壳结构的局部加肋设计优化提供技术参考.

关键词: 单层网壳结构, 局部加肋, 渐进结构优化算法, 拓扑优化

Abstract:

This paper investigates the topological optimization of locally reinforced single-layer reticulated shell structures to enhance their economy and overall stability. Using steel consumption as the evaluation index, a topological optimization method based on the evolutionary structural optimization algorithm is proposed for single-layer reticulated shell structures. The strain energy is calculated based on the internal force distribution of the structural members, and a grid strength evaluation criterion is established considering the specific characteristics of single-layer reticulated shell structures. In the iterative calculation, pyramids are added to strengthen the grid with excessive strain energy, while new pyramids with insufficient strain energy are removed. The steel consumption and the overall stability of the reticulated shell structure before and after optimization are compared to verify the effectiveness of the structural optimization method. After topological optimization, the locally reinforced single-layer reticulated shell structure exhibits a reduced steel consumption and improved overall stability compared to the initial structure. The results can provide technical references for optimizing the local reinforcement design of single-layer reticulated shell structures, and also provide references for similar structural optimization problems.

Key words: single-layer reticulated domes, local rib augmentation, evolutionary structural optimization algorithm, topological optimization

中图分类号:

王润谷, 董骁, 龚景海. 单层网壳结构的局部加肋渐进式拓扑优化方法[J]. 上海交通大学学报, 2025, 59(7): 1019-1028.

WANG Rungu, DONG Xiao, GONG Jinghai. Evolutionary Topological Optimization Method for Local Rib Addition in Single-Layer Shell Structures[J]. Journal of Shanghai Jiao Tong University, 2025, 59(7): 1019-1028.

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