基于GA-RS的规则钢筋混凝土桥梁圆形单柱桥墩延性抗震优化设计
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摘要
提出抗震结构集成优化设计的新方法,将多目标遗传优化算法与反应谱分析很好地结合起来,建立规则钢筋混凝土圆形单柱桥墩多目标抗震优化设计的通用框架,以圆形单柱桥墩的截面半径、纵向钢筋配筋率和横向箍筋配筋率为设计变量,以结构的初始材料造价、抗震强度需求能力比、抗震延性需求能力比为优化目标函数。通过把延性抗震设计问题转化为多目标优化问题,从而使设计者可以很好地平衡抗震设计的各种关键因素,并以可控的方式处理多个优化目标而获得Pareto意义上的最优设计参数。
A new integrated optimal design method was proposed for earthquake-resistant structures.Multi-objective genetic algorithm and response spectrum analysis were integrated to establish a general framework for multi-objective optimal seismic design of regular reinforced concrete single-column circular bridge piers.The optimization adopts structural sizing variables such as radius of circular section,longitudinal and transverse reinforcement steel ratios as design variables.And the optimal objectives include the initial material cost,the ratio between demand and capacity of strength and the ratio between demand and capacity of ductility.Through formulating the ductile seismic design problem as a multi-objective optimization problem,designers are able to keep prominent balance in some very important aspects of seismic design and deal with multi-objectives in a controlled manner to find the optimum parameters in Pareto optimal sense.
A new integrated optimal design method was proposed for earthquake-resistant structures.Multi-objective genetic algorithm and response spectrum analysis were integrated to establish a general framework for multi-objective optimal seismic design of regular reinforced concrete single-column circular bridge piers.The optimization adopts structural sizing variables such as radius of circular section,longitudinal and transverse reinforcement steel ratios as design variables.And the optimal objectives include the initial material cost,the ratio between demand and capacity of strength and the ratio between demand and capacity of ductility.Through formulating the ductile seismic design problem as a multi-objective optimization problem,designers are able to keep prominent balance in some very important aspects of seismic design and deal with multi-objectives in a controlled manner to find the optimum parameters in Pareto optimal sense.
引文
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[14]中交公路规划设计院.公路钢筋混凝土及预应力混凝土桥涵设计规范(JTG D62-2004)[S].北京:人民交通出版社,2004,34-41.
[15]玄光男,程润伟著,周根贵译.遗传算法与工程优化[M].北京:清华大学出版社,2004年第1版,76-90.
[2]Ravindra Verma,M.J.Nigel Priestley.Optimization of seis-mic design of single-column circular reinforced concrete bridge piers[R].In:Transportation Research Record1393,1993:186-192.
[3]李建中,袁万城,范立础.连续梁桥减、隔震体系的优化设计[J].土木工程学报,1998,31(3):47-54.
[4]Simoes L M C,Negrao J O.Optimization of cable-stayed bridges subjected to earthquakes with nonlinear behavior[J].Eng.Opt.,1999(31):457-478.
[5]谢楠,陈英俊.遗传算法的改进策略及其在桥梁抗震优化设计中的应用效果[J].工程力学,2000,17(3):31-36.
[6]谢楠.地震作用下铁路桥梁最优可靠度的研究[D].北京:北方交通大学,2001,1-71.
[7]Shoji G K,Fujino Y Z,ABE M.Optimal allocation of earth-quake-induced damage for elevated highway bridges[C].日本土木学会论文集,1997,39(563):79-94.
[8]Ang AHS,Cho HN,LimJ K,et al.Reliability-based life cy-cle cost analysis for optimal seismic upgrading of bridges[J].Computational Structure Engineering,2001,1(1):59-69.
[9]Kwang-Ming Lee,Hyo-Nam Cho,Jong-Kwon Lim,et al.Life-cycle cost effective optimal seismic design for continuous PSC bridges[C].In:Life-Cycle Performance of Deteriorating Struc-tures:Assessment,Design and Management,2003,247-262.
[10]柳春光,林皋.已建立交桥工程系统抗震加固优化方法研究[J].大连理工大学学报,2002,42(3):338-341.
[11]Edward Wang.Optimizing bridge seismic retrofit strategy im-plementing bridge fragility curves[C].In:Structural Engi-neering and Public Safety,Proceedings of the2006Structures Congress,2006.
[12]重庆交通科研设计院.公路桥梁抗震设计细则(JTG/TB02-01-2008)[S].北京:人民交通出版社,2008:19-47.
[13]普瑞斯特雷,赛勃勒,卡尔维著,袁万城,胡勃,崔飞,等译.桥梁抗震设计与加固[M].北京:人民交通出版社,1997,111-180.
[14]中交公路规划设计院.公路钢筋混凝土及预应力混凝土桥涵设计规范(JTG D62-2004)[S].北京:人民交通出版社,2004,34-41.
[15]玄光男,程润伟著,周根贵译.遗传算法与工程优化[M].北京:清华大学出版社,2004年第1版,76-90.
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