结构MBC策略的财富分配方法研究
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摘要
总结了已有的基于市场机制控制(Market Based Control,MBC)策略中的财富分配方式。财富分配方式不同直接会影响MBC算法的控制效果,根据结构反应特点,提出了两种财富分配方式:以结构剪力为优化目标的线性财富分配和以结构位移为优化目标的模态财富分配。对一安装有控制装置的20层结构进行了数值分析,比较了这两种财富分配下的MBC控制算法,并与经典LQR算法的控制效果进行了对比。研究表明,提出的两种财富分配方式能有效的控制结构响应,并验证了其合理性。
Present methods of wealth distributions based on the Market based Control(MBC)strategy are summarized.Selection of wealth distribution approach directly influences the control effect of MBC algorithm.Therefore two approaches of wealth distribution,linear and modal wealth distribution forms are proposed according to the characteristics of structural responses.The control effects of the two wealth distribution methods in MBC algorithms are compared with classical LQR control method by simulating for a 20-storey structure equipped with control device.The results demonstrate the effectiveness of the proposed two wealth distributions in structural response control,as well as their rationality.
Present methods of wealth distributions based on the Market based Control(MBC)strategy are summarized.Selection of wealth distribution approach directly influences the control effect of MBC algorithm.Therefore two approaches of wealth distribution,linear and modal wealth distribution forms are proposed according to the characteristics of structural responses.The control effects of the two wealth distribution methods in MBC algorithms are compared with classical LQR control method by simulating for a 20-storey structure equipped with control device.The results demonstrate the effectiveness of the proposed two wealth distributions in structural response control,as well as their rationality.
引文
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[2]Lynch J P,Law K H.Marked-based control of linear structural systems[J].Earthquake Engineering and Structural Dynamics,2002,31(10):1855—1877.
[3]Lynch J P.Decentralization of wireless monitoring and control technologies for smart civil structures[D].Stanford:Stanford University,2002.
[4]Lynch J P,Law K H.Decentralized control techniques for large-scale civil structural systems[C].Proceedings of the 20th International Modal Analysis Conference,USA,2002.
[5]Lynch J P,Law K H.Energy market-based control of linear civil structures[C].Proceedings of the US-Korea Workshop on Smart Structural Systems,Pusan,Korea,Aug 23-24,2002.
[6]李宏男,李学涛,霍林生.基于市场机制结构控制策略的研究和应用进展[J].世界地震工程,2005,21(4):1—9.Li Hongnan,Li Xuetao,Huo Linsheng.State-of-art on structural control research of market based control[J].World Earthquake Engineering,2005,21(4):1—9.
[7]李宏男,李瀛.应用MBC策略的MRD隔震结构半主动控制[J].地震工程与工程振动,2008,28(5):140—145.Li Hongnan,Li Ying.Semi-active control for MRD-isolation structure using MBC strategy[J].Journal of Earthquake Engineering and Engineering Vibration,2008,28(5):140—145.
[8]李宏男,李瀛.MBC策略供需函数模型研究[J].计算力学学报,2010,27(1):28—34.Li Hongnan,Li Ying.Study on supply-demand function models of MBC strategy[J].Chinese Journal of Computational Mechanics,2010,27(1):28—34.
[9]李钢,刘启凤,李宏男.基于拟力法的MBC非线性控制[J].振动工程学报,2010,23(3):324—332.Li Gang,Liu Qifeng,Li Hongnan.MBC nonlinear control strategy based on force analogy method[J].Journal of Vibration Engineering,2010,23(3):324—332.
[10]Li Gang,Liu Qifeng,Li Hongnan.Inelastic structural control based on MBC and FAM[J].Mathematical Problems in Engineering,2011(1):1—18.
[11]Kurino H,Tagami J,Shimizu K,et al.Switching oil damper with built-in controller for structural control[J].ASCE,Journal of Structural Engineering,2003,129(7):895—904.
[12]欧进萍.结构振动控制-主动、半主动和智能控制[M].北京:科学出版社,2003.Ou Jinping.Vibration Control of Structures-Active.Semi Active and Intelligent Control[M].Beijing:Science Press,2003.
[13]李瀛.应用MBC策略的建筑结构振动控制[D].大连:大连理工大学,2007.Li Ying.Structural vibration control using MBC strategy[D].Dalian:Dalian University of Technology,2007.