基于拟力法的MBC非线性控制
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摘要
在已有MBC理论基础上考虑结构的非线性变形问题,结合拟力法提出一种结构非线性分析新方法。以MBC控制策略为基础,以拟力法为结构非线性求解平台,解决了结构动力分析中计算时间长、求解速度慢、存储空间大等问题,实现了MBC策略在结构非线性控制领域的应用。以一个9层钢框加结构为算例比较了该方法与LQR算法的控制效果,验证了该方法的正确性和有效性。
In this paper,a new method that combines the Market-Based Control(MBC) strategy and Force Analogy Method(FAM) is presented to realize the nonlinear structural vibration control.The MBC is used to reduce the structural vibration response and FAM is proposed to perform the nonlinear analysis,which reduces computation time and storage sqaces,and enhances computing speed.A numerical example of nine-stories steel frame structure is used to compare the control effect of this method and usual LQR algorithm,which shows the accuracy and efficiency of the proposed computation method.
In this paper,a new method that combines the Market-Based Control(MBC) strategy and Force Analogy Method(FAM) is presented to realize the nonlinear structural vibration control.The MBC is used to reduce the structural vibration response and FAM is proposed to perform the nonlinear analysis,which reduces computation time and storage sqaces,and enhances computing speed.A numerical example of nine-stories steel frame structure is used to compare the control effect of this method and usual LQR algorithm,which shows the accuracy and efficiency of the proposed computation method.
引文
[1]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.
[2]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.
[3]Clearwater S.Market-Based Control:A Paradigm forDistributed Resource Allocation[M].Singapore:World Scientific Publishing,1996.
[4]Lynch J P,Law K H.Market-based control of linearstructural systems[J].Earthquake Engineering andStructural Dynamics,2002,31(10):1 855—1 877.
[5]霍林生,李宏男.基于市场机制的TLCD半主动控制方案[J].应用力学学报,2005,22(1):71—75.
[6]Wong Kevin K F,Yang Rong.Inelastic dynamic re-sponse of structures using force analogy method[J].Journal of Engineering Mechanics,1999,125(10):1 190—1 200.
[7]Wong Kevin K F,Yang Rong.Earthquake responseand energy evaluation of inelastic structures[J].Jour-nal of Engineering Mechanics,2002,128(3):308—318.
[8]Wong Kevin K F,Yang Rong.Predictive instanta-neous optimal control of inelastic structures duringearthquakes[J].Earthquake Engineering and Struc-tural Dynamics,2003,32:2 179—2 195.
[9]Wong Kevin K F,ASCE M.Predictive optimal linearcontrol of inelastic structures during earthquake[J].Journal of Engineering Mechanics,2005,131(2):131—152.
[10]李钢,李宏男,李瀛.基于拟力法的消能减震结构地震反应分析[J].土木工程学报,2009,42(4):55—63.
[11]Lynch J P,Law K H.Energy market-based control oflinear civil structures[A].Proceeding of the US-Ko-rea Workshop on Smart Structural Systems[C].Pu-san,Korea,Aug 23—24,2002.
[12]Lynch J P,Law K H.A market-based control solu-tion for semi-active structural control[A].Computingin Civil and Building Engineering:Proceedings of theEight International Conference[C].Stanford,CA,USA,Aug 14—16,2000.
[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.
[14]李宏男,李学涛,霍林生.多维结构振动的改进MBC控制策略[J].振动工程学报,2007,20(4):317—323.
[15]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.
[16]赵光伟,裴星洙,周晓松.基于能量平衡的建筑结构地震响应预测法基础研究[J].工业建筑,2006,36:182—188.
[17]GB 50011-2001建筑抗震设计规范[S].北京:中国建筑工业出版社,2001.
[2]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.
[3]Clearwater S.Market-Based Control:A Paradigm forDistributed Resource Allocation[M].Singapore:World Scientific Publishing,1996.
[4]Lynch J P,Law K H.Market-based control of linearstructural systems[J].Earthquake Engineering andStructural Dynamics,2002,31(10):1 855—1 877.
[5]霍林生,李宏男.基于市场机制的TLCD半主动控制方案[J].应用力学学报,2005,22(1):71—75.
[6]Wong Kevin K F,Yang Rong.Inelastic dynamic re-sponse of structures using force analogy method[J].Journal of Engineering Mechanics,1999,125(10):1 190—1 200.
[7]Wong Kevin K F,Yang Rong.Earthquake responseand energy evaluation of inelastic structures[J].Jour-nal of Engineering Mechanics,2002,128(3):308—318.
[8]Wong Kevin K F,Yang Rong.Predictive instanta-neous optimal control of inelastic structures duringearthquakes[J].Earthquake Engineering and Struc-tural Dynamics,2003,32:2 179—2 195.
[9]Wong Kevin K F,ASCE M.Predictive optimal linearcontrol of inelastic structures during earthquake[J].Journal of Engineering Mechanics,2005,131(2):131—152.
[10]李钢,李宏男,李瀛.基于拟力法的消能减震结构地震反应分析[J].土木工程学报,2009,42(4):55—63.
[11]Lynch J P,Law K H.Energy market-based control oflinear civil structures[A].Proceeding of the US-Ko-rea Workshop on Smart Structural Systems[C].Pu-san,Korea,Aug 23—24,2002.
[12]Lynch J P,Law K H.A market-based control solu-tion for semi-active structural control[A].Computingin Civil and Building Engineering:Proceedings of theEight International Conference[C].Stanford,CA,USA,Aug 14—16,2000.
[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.
[14]李宏男,李学涛,霍林生.多维结构振动的改进MBC控制策略[J].振动工程学报,2007,20(4):317—323.
[15]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.
[16]赵光伟,裴星洙,周晓松.基于能量平衡的建筑结构地震响应预测法基础研究[J].工业建筑,2006,36:182—188.
[17]GB 50011-2001建筑抗震设计规范[S].北京:中国建筑工业出版社,2001.
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