智能隔震结构的模态控制
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摘要
本文应用模态控制方法对加磁流变阻尼器的隔震结构进行控制。基础隔震结构的响应主要以第一振型为主,且基础隔震结构具有非比例阻尼,无法进行常规的振型分解,本文引入复振型分解法,对基础隔震结构进行振型分解,再用LQG算法对结构的第一振型进行控制。该方法可以方便地确定权重矩阵,并改善了一般的模态控制方法对隔震结构的造成的误差。数值分析表明,该算法有较好的精度,且控制方法简单。
This paper proposes an implementation of modal control for isolated structures using MR dampers.Isolated structures are denoted as nonclassically damped,and the complex mode superposition method for solution of such a problem is used.The first model response of isolated structures is in the highest flight,and modal control reshapes the motion of a structure by a merely controlling the first mode of isolated structure.The proposed method is able to design the weighting matrix of the controller easily and to evaluate dynamic response of nonlinear isolated structures accurately.The numerical results indicate that the proposed method can provide much higher accuracy and require less computational steps.
This paper proposes an implementation of modal control for isolated structures using MR dampers.Isolated structures are denoted as nonclassically damped,and the complex mode superposition method for solution of such a problem is used.The first model response of isolated structures is in the highest flight,and modal control reshapes the motion of a structure by a merely controlling the first mode of isolated structure.The proposed method is able to design the weighting matrix of the controller easily and to evaluate dynamic response of nonlinear isolated structures accurately.The numerical results indicate that the proposed method can provide much higher accuracy and require less computational steps.
引文
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[6]Cho Sang-Won,Kim Byoung-Wan,Jung Hyung-Jo,et al.Implementation of Modal Control for Seismically Excited Structure Using Magneto-theological Dampers[J].Journal of Engineering Mechanics,2005,131(2):177-184.
[7]Jansen L M,Dyke S J.Semi-active Control Strategies for MR Dampers:Comparative Study[J].Journal of Engineering Mechanics,2000,126(8):795-803.
[8]Spencer Jr B F,Nagarajaish S.State of the Art of Structural Control[J].Journal of Structural Engineering,2003,129(7):845-856.
[9]Agrawal A K,Xu Z,He W L.Ground Motion Pulse Based Active Control of a Linear Base-isolated Benchmark Building[J].Journal Structural Control and Health Monitoring,2005,13(2-3):792-808.
[10]Xu Z,Agrawal A K,Yang J N.Semi-active Control and Passive Control of the Phase I Linear Base-isolated Benchmark Building Model[J].Journal Structural Control and Health Monitoring,2005,13(2-3):626-648.
[2]Fabio Casciati,Georges Magonette,Francesco Marazzi.Technology of Semi-active Devices and Applications in Vibration Mitigation[M].New York:John Wiley&Sons,Ltd,2006.
[3]Yang J N,Agrawal A K.Semi-active Hybrid Control Systems for Nonlinear Buildings Against Near-field Earthquakes[J].Engineering Structures,2002,24:271-280.
[4]李杰,李国强.地震工程学导论[M].北京:地震出版社,1992.
[5]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.
[6]Cho Sang-Won,Kim Byoung-Wan,Jung Hyung-Jo,et al.Implementation of Modal Control for Seismically Excited Structure Using Magneto-theological Dampers[J].Journal of Engineering Mechanics,2005,131(2):177-184.
[7]Jansen L M,Dyke S J.Semi-active Control Strategies for MR Dampers:Comparative Study[J].Journal of Engineering Mechanics,2000,126(8):795-803.
[8]Spencer Jr B F,Nagarajaish S.State of the Art of Structural Control[J].Journal of Structural Engineering,2003,129(7):845-856.
[9]Agrawal A K,Xu Z,He W L.Ground Motion Pulse Based Active Control of a Linear Base-isolated Benchmark Building[J].Journal Structural Control and Health Monitoring,2005,13(2-3):792-808.
[10]Xu Z,Agrawal A K,Yang J N.Semi-active Control and Passive Control of the Phase I Linear Base-isolated Benchmark Building Model[J].Journal Structural Control and Health Monitoring,2005,13(2-3):626-648.
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