磁流变式调谐液柱阻尼器抑制结构地震作用半主动控制
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摘要
磁流变式调谐液柱阻尼器(MR-TLCD)是由调谐液柱阻尼器(TLCD)和磁流变液阻尼器(MRD)组成的新型半主动控制装置。依据Lagrange方程建立了MR-TLCD与单自由结构耦合运动方程,基于线性二次型经典控制计算出最优主动控制力,采用Bang-Bang、离复位以及限界Hrovat最优控制三种算法来实现半主动控制策略,以Northridge地震动为例在Matlab/Simulink模块下进行了仿真计算。结果表明三种半主动控制策略中离复位控制最优,限界Harvot,Bang-Bang次之,且都优于被动控制效果。相对位移控制效果好于相对加速度,均方根值效果好于峰值效果。但MR-TLCD抑制结构受到此类特征周期地震作用时有放大加速度峰值可能。
Magnetorheological tuned liquid column damper(MR-TLCD) is a promising device for vibration control,which consists of tuned liquid column damper(TLCD) and magnetorheological damper(MRD).The equations of motion for the coupled system MR-TLCD-structure are formulated by Lagrange equations in this paper.Based on the linear quadratic regulator(LQR) algorithm,the active control force of the coupled system is calculated.Three semi-active strategies that include Bang-Bang,off-and-towards-equilibrium and clipped Harvot optimal are simulated using Matlab/Simulink blocks under Northridge seismic ground motion.The results of calculation show that the effect of off-and-towards-equilibrium is more significant than that of clipped Harvot optimal and Bang-Bang,which are superior to seismic mitigation effect of passive control.The control performance of the relative displacement and the root mean square is more significant than that of relative acceleration and the peak value.It is possible to enlarge the acceleration peak under exampled characteristic period seismic ground motion with MR-TLCD shock absorber.
Magnetorheological tuned liquid column damper(MR-TLCD) is a promising device for vibration control,which consists of tuned liquid column damper(TLCD) and magnetorheological damper(MRD).The equations of motion for the coupled system MR-TLCD-structure are formulated by Lagrange equations in this paper.Based on the linear quadratic regulator(LQR) algorithm,the active control force of the coupled system is calculated.Three semi-active strategies that include Bang-Bang,off-and-towards-equilibrium and clipped Harvot optimal are simulated using Matlab/Simulink blocks under Northridge seismic ground motion.The results of calculation show that the effect of off-and-towards-equilibrium is more significant than that of clipped Harvot optimal and Bang-Bang,which are superior to seismic mitigation effect of passive control.The control performance of the relative displacement and the root mean square is more significant than that of relative acceleration and the peak value.It is possible to enlarge the acceleration peak under exampled characteristic period seismic ground motion with MR-TLCD shock absorber.
引文
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[5]Ghosh A,Basu B.Alternative approach to optimal tuning parameter of liquid column damper for seismic applications[J].Journal of StructuralEngineering,2007,133(12):1848-1852.
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[12]李忠献,林伟,丁阳.多维地震激励下空间结构MR阻尼器半主动控制[J].天津大学学报,2007,40(5):512-518.
[13]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,2003:296-364.
[14]瞿伟廉,王军武,徐幼麟.ER/MR智能阻尼器耦联的带裙房高层建筑结构地震反应的半主动控制[J].地震工程与工程振动,2000,20(4):87-95.
[15]王修勇,陈政清,倪一清,等.斜拉桥拉索磁流变阻尼器减振技术研究[J].中国公路学报,2003,16(2):52-56.
[16]王修勇,孙洪鑫,陈政清.磁流变式调谐液柱阻尼器对地震作用的控制研究[J].振动与冲击,2008,27(5):19-23.
[17]Tse T,Chang C C.Shear-mode rotary magnetorheological damper for small-scale structural control experiments[J].Journal of Structural Engi-neering,ASCE.2004,130(6):904-911.
[18]杨润林,闫维明,周锡元,等.半主动U型液力阻尼器的结构振动控制[J].应用力学学报,2003,20(4):108-111.
[2]Reiterer M,Ziegler F.Bi-axial seismic activation of civil engineering structures equipped with tuned liquid column dampers[J].Journal of Seis-mology and Earthquake,2005,7(1):45-60.
[3]Yall S K,Kareem A.Semiactive tuned liquid column dampers:experimental study[J].Journal of Structural Engineering,ASCE,2003,129(7):960-971.
[4]Ghosh A,Basu B.Seismic vibration control of short period structures using the liquid column damper[J].Engineering Structures,2004,26:1905-1913.
[5]Ghosh A,Basu B.Alternative approach to optimal tuning parameter of liquid column damper for seismic applications[J].Journal of StructuralEngineering,2007,133(12):1848-1852.
[6]Won A Y J,Pires J A,Haroun MA.Performance assessment of tuned liquid column dampers under random seismic loading[J].Internal Jour-nal of Non-Linear Mechanics,1997,32(4):745-758.
[7]阎石,李宏男,林皋.可调频调液柱型阻尼器振动控制参数研究[J].地震工程与工程振动,1998,18(4):96-102.
[8]李宏男,金峤.基于Takagi-Sugeno模型的半主动TLCD对偏心结构的减震控制[J].计算力学学报,2003,20(5):523-529.
[9]李宏男,阎石,林皋.建筑结构利用TLCD减振的神经网络智能控制[J].地震工程与工程振动,2000,20(3):137-142.
[10]霍林生,李宏男,孙丽.多维地震作用下非对称结构利用TLCD减震控制研究[J].地震工程与工程振动,2001,21(4):147-153.
[11]周云,徐龙河,李忠献.磁流变阻尼器半主动控制结构的地震反应分析[J].土木工程学报,2001,34(5):10-14.
[12]李忠献,林伟,丁阳.多维地震激励下空间结构MR阻尼器半主动控制[J].天津大学学报,2007,40(5):512-518.
[13]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,2003:296-364.
[14]瞿伟廉,王军武,徐幼麟.ER/MR智能阻尼器耦联的带裙房高层建筑结构地震反应的半主动控制[J].地震工程与工程振动,2000,20(4):87-95.
[15]王修勇,陈政清,倪一清,等.斜拉桥拉索磁流变阻尼器减振技术研究[J].中国公路学报,2003,16(2):52-56.
[16]王修勇,孙洪鑫,陈政清.磁流变式调谐液柱阻尼器对地震作用的控制研究[J].振动与冲击,2008,27(5):19-23.
[17]Tse T,Chang C C.Shear-mode rotary magnetorheological damper for small-scale structural control experiments[J].Journal of Structural Engi-neering,ASCE.2004,130(6):904-911.
[18]杨润林,闫维明,周锡元,等.半主动U型液力阻尼器的结构振动控制[J].应用力学学报,2003,20(4):108-111.
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