基于改进帝国竞争算法的大跨斜拉桥成桥索力优化
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摘要
为了确定大跨斜拉桥成桥索力,综合考虑成桥状态大跨斜拉桥的受力和变形特点,建立大跨斜拉桥成桥索力优化的数学模型.从计算精度和收敛速度两方面对帝国竞争算法进行改进,提出一种改进的帝国竞争算法.采用改进的帝国竞争算法,结合罚函数技术和有限元法求解索力优化模型,实现了斜拉桥成桥索力的改进帝国竞争算法优化计算.最后,采用提出的索力优化方法对某大跨斜拉桥进行索力优化研究.研究结果表明:提出的索力优化方法具有很好的全局搜索能力,能够有效地解决高维多变量的大跨度斜拉桥成桥索力的优化问题;采用该方法进行斜拉桥索力优化,可考虑各种非线性效应,从而可获得更合理的成桥状态.
To determine the cable forces of long-span cable-stayed bridges in the final state,a new mathematical model of cable force optimization was established with consideration of stress and deformation of bridges. The standard imperialist competitive algorithm was improved based on computational accuracy and convergence speed. A new cable force optimization technique was presented by the proposed modified imperialist competitive algorithm,penalty function technique and finite element method. A real bridge was used to conduct the cable force optimization by the cable force optimization technique. The results show that the proposed methodology has well global searching ability and can well solve the cable force optimization for long-span cable-stayed bridges. The proposed methodology can produce more reasonable stress state with good structural configuration when various nonlinear effects are considered fully in the methodology.
To determine the cable forces of long-span cable-stayed bridges in the final state,a new mathematical model of cable force optimization was established with consideration of stress and deformation of bridges. The standard imperialist competitive algorithm was improved based on computational accuracy and convergence speed. A new cable force optimization technique was presented by the proposed modified imperialist competitive algorithm,penalty function technique and finite element method. A real bridge was used to conduct the cable force optimization by the cable force optimization technique. The results show that the proposed methodology has well global searching ability and can well solve the cable force optimization for long-span cable-stayed bridges. The proposed methodology can produce more reasonable stress state with good structural configuration when various nonlinear effects are considered fully in the methodology.
引文
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[9]KAVEH A,TALATAHARI S.Optimum design of skeletal structures using imperialist competitive algorithm[J].Computers and Structures,2010,88:1220-1229.
[10]张鑫龙,陈秀万,肖汉,等.一种求解旅行商问题的新型帝国竞争算法[J].控制与决策,2016,31(4):586-592.ZHANG X L,CHEN X W,XIAO H,et al.A new imperialist competitive algorithm for solving TSP problem[J].Control and Decision,2016,31(4):586-592.(in Chinese)
[11]刘克同.新型格子Boltzmann流固耦合算法研究及其在桥梁风工程中的应用[D].哈尔滨:哈尔滨工业大学,2015.
[12]颜东煌,李学文,刘光栋,等.混凝土斜拉桥合理成桥状态确定的分步算法[J].中国公路学报,2003,16(1):43-46.YAN D H,LI X W,LIU G D,et al.Step-by-step arithmetic for the reasonable finished dead state of the concrete cable-stayed bridges[J].China Journal of Highway and Transport,2003,16(1):43-46.(in Chinese)
[13]LUTE V,UPADHYAY A,SINGH K K.Computationally efficient analysis of cable-stayed bridge for GA-based optimization[J].Engineering Applications of Artificial Intelligence,2009,22:750-758.
[2]周绪红,戴鹏,狄瑾.钢箱梁斜拉桥成桥索力优化分析[J].建筑科学与工程学报,2007,24(2):19-23.ZHOU X H,DAI P,DI J.Optimization analysis of cable tensions of dead load state for cable-stayed bridge with steel box girder[J].Journal of Architecture and Civil Engineering,2007,24(2):19-23.(in Chinese)
[3]BALDOMIR A,HERNANDEZ S,NIETO F,et al.Cable optimization of a long span cable stayed bridge in La Coru1a(Spain)[J].Advances in Engineering Software,2010,41:931-938.
[4]MARTINS A M B,SIMES L M C,NEGRO J H J O.Optimization of cable forces on concrete cable-stayed bridges including geometrical nonlinearities[J].Computers and Structures,2015,155:18-27.
[5]HASSAN M M,EL DAMATTY A A,NASSEF A O.Database for the optimum design of semi-fan composite cable-stayed bridges based on genetic algorithms[J].Structure and Infrastructure Engineering,2014,11(8):1054-1068.
[6]吴霄,肖汝诚.基于遗传算法的大跨度混合梁斜拉桥索力优化[J].江苏大学学报(自然科学版),2014,35(6):722-726.WU X,XIAO R C.Optimization of cable force for cable-stayed bridges with mixed stiffening girders based on genetic algorithm[J].Journal of Jiangsu University(Natural Science Edition),2014,35(6):722-726.(in Chinese)
[7]SUNG Y C,WANG C Y,TEO E H.Application of particle swarm optimisation to construction planning for cable-stayed bridges by the cantilever erection method[J].Structure and Infrastructure Engineering,2016,12(2):208-222.
[8]ATASHPAZ-GARGARI E,LUCAS C.Imperialist competitive algorithm:an algorithm for optimization inspired by imperialistic competition[J]∥Proceedings of 2007IEEE Congress on Evolutionary Computation.Singapore:IEEE,2007:4661-4667.
[9]KAVEH A,TALATAHARI S.Optimum design of skeletal structures using imperialist competitive algorithm[J].Computers and Structures,2010,88:1220-1229.
[10]张鑫龙,陈秀万,肖汉,等.一种求解旅行商问题的新型帝国竞争算法[J].控制与决策,2016,31(4):586-592.ZHANG X L,CHEN X W,XIAO H,et al.A new imperialist competitive algorithm for solving TSP problem[J].Control and Decision,2016,31(4):586-592.(in Chinese)
[11]刘克同.新型格子Boltzmann流固耦合算法研究及其在桥梁风工程中的应用[D].哈尔滨:哈尔滨工业大学,2015.
[12]颜东煌,李学文,刘光栋,等.混凝土斜拉桥合理成桥状态确定的分步算法[J].中国公路学报,2003,16(1):43-46.YAN D H,LI X W,LIU G D,et al.Step-by-step arithmetic for the reasonable finished dead state of the concrete cable-stayed bridges[J].China Journal of Highway and Transport,2003,16(1):43-46.(in Chinese)
[13]LUTE V,UPADHYAY A,SINGH K K.Computationally efficient analysis of cable-stayed bridge for GA-based optimization[J].Engineering Applications of Artificial Intelligence,2009,22:750-758.