[1]冯晓东,撒剑波,郑亦汶,等.基于量子天牛须搜索的张拉整体结构预应力优化研究[J].西安建筑科技大学学报(自然科学版),2023,55(03):350-358.[doi:10.15986/j.1006-7930.2023.03.005 ]
　FENG Xiaodong,SA Jianbo,ZHENG Yiwen,et al.Research on prestress optimization of tensegrity structures based on quantum beetle antennae search algorithm[J].J. Xi'an Univ. of Arch. & Tech.(Natural Science Edition),2023,55(03):350-358.[doi:10.15986/j.1006-7930.2023.03.005 ]
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基于量子天牛须搜索的张拉整体结构预应力优化研究()
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西安建筑科技大学学报（自然科学版）[ISSN:1006-7930/CN:61-1295/TU]

卷:
55
期数:
2023年03期
页码:
350-358
栏目:
出版日期:
2023-06-28

文章信息/Info

Title:
Research on prestress optimization of tensegrity structures based on quantum beetle antennae search algorithm
文章编号:
1006-7930(2023)03-0350-09
作者:
冯晓东1; 撒剑波1; 郑亦汶1; 李 锋2; 罗尧治3
(1.绍兴文理学院 土木工程学院,浙江 绍兴 312000; 2.绍兴市城投建筑工业化制造有限公司,浙江 绍兴 312000; 3.浙江大学 建筑工程学院,浙江 杭州 310000)
Author(s):
FENG Xiaodong1; SA Jianbo1; ZHENG Yiwen1; LI Feng2; LUO Yaozhi3
(1.School of Civil Engineering Shaoxing University of Arts and Sciences, Zhejiang Shaoxing 312000, China; 2.Shaoxing Chengtou Construction Industrial Manufacturing Co., Ltd., Zhejiang Shaoxing 312000, China; 3.Architectural Engineering College, Zhejiang University, Hangzhou 310000, China)
关键词:
张拉整体结构;  预应力优化方法;  几何对称性;  奇异值分解
Keywords:
tensegrity structures;  prestressed optimal design;  geometric symmetry;  singular value decomposition
分类号:
TU394
DOI:
10.15986/j.1006-7930.2023.03.005
文献标志码:
A
摘要:
为快速求解给定的大型张拉整体结构在特定分组方案下的最优预应力,提出一种基于量子天牛须搜索的优化方法. 该方法根据平衡矩阵分析理论,由奇异值分解法确定自应力模态数,根据结构构件的 范数值获得几何对称约束,以达到减少自应力模态组解空间的目标; 根据算法流程建立预应力优化模型,接着通过量子天牛须搜索算法求解各组自应力模态组合系数,以获得满足结构稳定性要求的最优初始预应力. 同时,引入切线刚度矩阵特征值来检验张拉整体结构的稳定性. 最后,采用该方法对平面和空间张拉整体网架结构求解最优初始预应力,验证了该方法的有效性.
Abstract:
In order to quickly solve the optimal prestressing of a given large-scale tensegrity structures under a grouping scheme, an optimization design method is proposed based on the quantum beetle search algorithm in this paper. According to the equilibrium matrix analysis theory, the number of self-stress modes is determined by singular value decomposition method, and the geometric symmetry constraint is obtained according to the norm value of structural members, so as to reduce the solution space of self-stress modes. The prestress optimization model is established according to the algorithm flow, and then the self-stress modal combination coefficient of each group is solved by the quantum beetle antennae search algorithm to obtain the optimal initial prestress that meets the structural stability requirements. At the same time, the eigenvalue of tangential stiffness matrix is introduced to test the stability of tensegrity structure. Finally, the proposed method is used to obtain the optimal initial prestress for the plane and space tensegrity grid structure, and the effectiveness of the proposed method is verified.

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备注/Memo

备注/Memo:
收稿日期:2022-02-11修回日期:2023-05-05
基金项目:国家自然科学基金资助项目(51908356)
第一作者:冯晓东(1987—),男,博士,副教授,主要从事大跨度空间结构及智能可展结构方向的研究.E-mail:xiaodong.feng@csu.edu.cn
更新日期/Last Update: 2023-06-28