Prestress Optimization of Cable Domes with Plant Growth Simulation Algorithm Based on Stage Growth

doi:10.12141/j.issn.1000-565X.210684

Abstract

Abstract:

In order to seek a reasonable and efficient prestress optimization method for cable domes, this paper proposed a new strategy for growth diffusion mechanism of large step and screening mechanism of growth points by analyzing the basic principle and algorithm mechanism of plant growth simulation algorithm (PGSA). On this basis, the plant growth simulation algorithm based on stage growth (stage growth PGSA) was established. This algorithm divides the optimization process into multiple stages and introduces the corresponding growth diffusion mechanism or screening mechanism of growth points in different stages. Firstly, the growth diffusion mechanism of large step was introduced to realize the spread of growth points by means of one-time diffusion growth with multiple steps. Then, the fast search was carried out with the medium step and the loose screening mechanism. Finally, the convergence was conducted with the small step for accuracy requirements and the strict screening mechanism. Thus, the prestress optimization of cable domes was done by using the stage growth PGSA and compared with other algorithms. The results show that the stage growth PGSA can effectively improve the global searching ability, reduce the growth space, and avoid growth points becoming saturated compared with the original PGSA. The number of calculation iteration of stage growth PGSA is the smallest and the initial strain energy of the structure after optimization is minimal in comparison with those of the multi-island genetic algorithm, adaptive simulated annealing algorithm, and particle swarm optimization algorithm. With its higher optimization efficiency and better optimization effect, therefore, this algorithm is applicable to the prestress optimization of cable domes.

Key words: cable dome, plant growth simulation algorithm, prestress optimization, stage growth, growth mechanism

CLC Number:

TU394

JIANG Zhengrong, SU Yan, SHI Kairong, et al. Prestress Optimization of Cable Domes with Plant Growth Simulation Algorithm Based on Stage Growth[J]. Journal of South China University of Technology(Natural Science Edition), 2022, 50(11): 133-140.

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References 18

1	GEIGER D， STEFANIUK A， CHEN D ．The design and construction of two cable domes for the Korean Olympics ［C］∥ Proceedings of the IASS Symposium．Osaka：［s.n.］，1986：265-272.
2	YAN Xiangyu， YANG Yan， CHEN Zhihua，et al. Mechanical properties of a hybrid cable dome under non-uniform snow distribution ［J］．Journal of Constructional Steel Research，2019，153：519-532.
3	冯远，向新岸，董石麟，等．雅安天全体育馆金属屋面索穹顶设计研究［J］．空间结构，2019，25（1）：3-13.
	FENG Yuan， XIANG Xinan， DONG Shilin，et al ．Design and research on tensegrity type cable dome with metal roof of Ya’an Tianquan Gymnasium ［J］．Spatial Structures，2019，25（1）：3-13.
4	冯远，王立维，张彦，等．成都凤凰山专业足球场结构设计［J］．建筑结构，2020，50（19）：15-21，14.
	FENG Yuan， WANG Liwei， ZHANG Yan，et al ．Structural design of Chengdu Fenghuangshan professional football field ［J］．Building Structure，2020，50（19）：15-21，14.
5	CHEN Yao， YAN Jiayi， FENG Jian ．Stiffness contributions of tension structures evaluated from the levels of components and symmetry subspaces ［J］．Mechanics Research Communications，2019，100：103401.
6	QUAGLIAROLI M， MALERBA P G， ALBERTIN A，et al ．The role of prestress and its optimization in cable domes design ［J］．Computers and Structures，2015，161：17-30.
7	MA Qing， OHSAKI M， CHEN Zhihua，et al ．Multi-objective optimization for prestress design of cable-strut structures ［J］．International Journal of Solids and Structures，2019，165：137-147.
8	吴宏康．Geiger型索穹顶结构预应力与截面协同优化方法对比分析［D］．杭州：浙江大学，2017.
9	李彤，王春峰，王文波，等．求解整数规划的一种仿生类全局优化算法——模拟植物生长算法［J］．系统工程理论与实践，2005，25（1）：76-85.
	LI Tong， WANG Chunfeng， WANG Wenbo，et al ．A global optimization bionics algorithm for solving integer programming：plant growth simulation algorithm ［J］．Systems Engineering-Theory & Practice，2005，25（1）：76-85.
10	郗莹，马良，戴秋萍．多目标旅行商问题的模拟植物生长算法求解［J］．计算机应用研究，2012，29（10）：3733-3735.
	XI Ying， MA Liang， DAI Qiuping ．Plant growth simulation algorithm for multi-criteria travelling salesman ［J］．Application Research of Computers，2012，29（10）：3733-3735.
11	王莉，秦勇，徐杰，等．植物多向生长模拟算法［J］．系统工程理论与实践，2014，34（4）：1018-1027.
	WANG Li， QING Yong， XU Jie，et al ．Plant multi-direction growth simulation algorithm ［J］．Systems Engineering-Theory & Practice，2014，34（4）：1018-1027.
12	LU Shilei， YU Shunzheng ．A fuzzy k-coverage approach for RFID network planning using plant growth simulation algorithm ［J］．Journal of Network and Computer Applications，2014，39（1）：280-291.
13	吴俊秋，何迪．模拟植物生长算法及其改进研究［J］．通信技术，2016，49（12）：1629-1634.
	WU Junqiu， HE Di ．Plant growth simulation algorithm and its improved algorithm ［J］．Communications Technology，2016，49（12）：1629-1634.
14	吕俊锋．基于改进PGSA的高层悬挂结构优化设计方法及施工模拟分析［D］．广州：华南理工大学，2018.
15	石开荣，阮智健，姜正荣，等．模拟植物生长算法的改进策略及桁架结构优化研究［J］．建筑结构学报，2018，39（1）：120-128.
	SHI Kairong， RUAN Zhijian， JIANG Zhengrong，et al ．Improved strategies of plant growth simulation algorithm and optimization of truss structures ［J］．Journal of Building Structures，2018，39（1）：120-128.
16	姜正荣，林全攀，石开荣，等．基于混合智能优化算法的弦支穹顶结构预应力优化［J］．华南理工大学学报（自然科学版），2018，46（9）：36-42.
	JIANG Zhengrong， LIN Quanpan， SHI Kairong，et al ．Prestress optimization of suspended dome structures based on mixed intelligent optimization algorithm ［J］．Journal of South China University of Technology （Natural Science Edition），2018，46（9）：36-42.
17	焦国辉．基于决策理论的微粒群算法［D］．太原：太原科技大学，2010.
18	苏延．复合型索穹顶结构的找力优化及施工仿真分析［D］．广州：华南理工大学，2021.

步长机制	平均最优函数值	平均生长空间
单一步长（原PGSA）	13.46	1 775
两段步长	1.28	2 034
三段步长	0.55	3 157

杆件编号	截面面积/ mm²	自应力模态			杆件编号	截面面积/ mm²	自应力模态
杆件编号	截面面积/ mm²	1	2		杆件编号	截面面积/ mm²	1	2
JS1	7 260	-0.011	-0.111	XS3B		9 310	0.051	-0.092
JS2A	8 370	0.143	0.021	HS1		10 050	0.049	-0.070
JS2B	8 370	-0.179	-0.150	HS2		15 080	0.094	-0.170
JS3A	9 310	0.222	-0.037	SLH		9 896	-0.011	-0.111
JS3B	9 310	-0.104	-0.177	XLH		8 262	-0.001	-0.012
XS1	7 260	-0.001	-0.013	NCG		7 383	0.000 2	0.002
XS2A	8 370	-0.025	-0.041	CG1		8 262	-0.008	0.018
XS2B	8 370	0.079	-0.023	CG2A		9 896	-0.016	0.029
XS3A	9 310	0.051	-0.092	CG2B		9 896	-0.016	0.029

杆件编号	预应力/kN	杆件编号	预应力/kN
JS1	1 551.73	XS3B	1 636.83
JS2A	521.39	HS1	1 294.26
JS2B	1 134.31	HS2	3 005.37
JS3A	1 829.04	SLH	1 551.55
JS3B	1 962.96	XLH	171.97
XS1	174.38	NCG	-29.02
XS2A	455.77	CG1	-307.07
XS2B	786.26	CG2A	-509.03
XS3A	1 636.76	CG2B	-509.05

[1]	SHI Kairong PAN Wenzhi JIANG Zhengrong LUO Bin. Novel Mechanisms of Structural Optimization Based on Plant Growth Simulation Algorithm [J]. Journal of South China University of Technology (Natural Science Edition), 2019, 47(7): 40-48,57.
[2]	JIANG Zhengrong ZHANG Zijian SHI Kairong GU Xuejin LUO Bin. Investigation into Method of Force-Finding Analysis for Kiewitt Cable Domes [J]. Journal of South China University of Technology (Natural Science Edition), 2019, 47(5): 103-109,122.
[3]	JIANG Zhengrong LIN Quanpan SHI Kairong RUAN Zhijian LU Junfeng LUO Bin. Prestress Optimization of Suspended Dome Structures Based on Mixed Intelligent Optimization Algorithm#br# [J]. Journal of South China University of Technology(Natural Science Edition), 2018, 46(9): 36-42.
[4]	JIANG Zheng-rong LIU Xiao-wei SHI Kai-rong LUO Bin. Sensitivity Analysis of Cable-Strut Rupture for Cable Dome [J]. Journal of South China University of Technology (Natural Science Edition), 2017, 45(5): 90-96.
[5]	Wei De-min Xu Mu Li Di. Frequency Domain Analysis for Wind-Induced Vibration Response of Long-Span Cable Dome Structures [J]. Journal of South China University of Technology(Natural Science Edition), 2012, 40(4): 112-117.