结构主动多重调谐质量阻尼器(AMTMD)的控制策略
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摘要
本文提出了一种新控制策略———主动多重调谐质量阻尼器 (AMTMD)。AMTMD控制系统频率呈线性分布。AMTMD中的MTMD保持相同的刚度和阻尼系数但质量变化。基于TMD的工作原理对AMTMD定义了主动控制力构成即保持相同的位移和速度反馈增益系数但变化加速度反馈增益系数。基于结构的广义振型模型 ,导出了设置AMTMD时结构的动力放大系数 (DMF) ,于是AMTMD的优化准则可定义为结构最大动力放大系数最小值的最小化 (Min Min Max DMF)。通过最优搜寻 ,研究了反映AMTMD有效性和鲁棒性的参数。这些参数包括 :频率间隔、平均阻尼比、调谐频率比、总数、质量比和标准化加速度反馈增益系数。为了比较 ,同时考虑了多重调谐质量阻尼器 (MTMD)和主动调谐质量阻尼器 (ATMD)。
A new control strategy in active multiple tuned mass dampers (AMTMD) for structures is studied in the paper. It consists of many ATMDs with a uniform distribution of natural frequencies. The MTMD in the AMTMD is keeped with constant stiffness and damping but varied with the mass. Based on the basic principle of the TMD, the active control forces of AMTMD are defined. Then, the expression for the dynamic magnification factor of the structure with AMTMD is formulated. The Min. Min. Max. DMF is defined as the optimum criterion of AMTMD. The parameters reflecting the effectiveness and robustness of AMTMD are discussed by the optimum search. Likewise, for the sake of comparison, the results of MTMD and ATMD are also taken into account.
A new control strategy in active multiple tuned mass dampers (AMTMD) for structures is studied in the paper. It consists of many ATMDs with a uniform distribution of natural frequencies. The MTMD in the AMTMD is keeped with constant stiffness and damping but varied with the mass. Based on the basic principle of the TMD, the active control forces of AMTMD are defined. Then, the expression for the dynamic magnification factor of the structure with AMTMD is formulated. The Min. Min. Max. DMF is defined as the optimum criterion of AMTMD. The parameters reflecting the effectiveness and robustness of AMTMD are discussed by the optimum search. Likewise, for the sake of comparison, the results of MTMD and ATMD are also taken into account.
引文
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[7] LiChunxiang.Performanceofmultipletunedmassdampersforattenuatingundesirableoscillationsofstructuresunderthegroundacceleration[J].EarthquakeEngineeringandStruc turalDynamics,2000,29:1405～1421
[8] ChangCH ,SoongTT .Structuralcontrolusingactivetunedmassdampers[J].J .Engrg.Mech.Div,ASCE ,1980,106(6):1091～1098
[9] AnkireddiS ,YangTY .SimpleATMDcontrolmethodologyfortallbuildingssubjecttowindloads[J].J .Struct.En grg,ASCE ,1996,122(1):83～91
[10] LiChunxiang.OptimummultipletunedmassdampersforstructuresunderthegroundaccelerationbasedonDDMFandADMF [J].EarthquakeEngineeringandStructuralDynam ics,2002,31:897～919
[2] 瞿伟廉.高层建筑和高耸结构的风振控制设计[M].武汉:武汉测绘科技大学出版社,1991
[3] 何玉敖,李忠献.电视塔结构地震反应的最优控制[J].建筑结构学报,1990,11(1):2～11
[4] XuK ,IgusaT .Dynamiccharacteristicsofmultiplesubstruc tureswithcloselyspacedfrequencies[J].EarthquakeEngi neeringandStructuralDynamics,1992,21:1059～1070
[5] YamaguchiH ,HarnpornchaiN .Fundamentalcharacteristicsofmultipletunedmassdampersforsuppressingharmonicallyforcedoscillations[J].EarthquakeEngineeringandStructuralDynamics,1993,22:51～62
[6] JangidRS .Dynamiccharacteristicsofstructureswithmultipletunedmassdampers[J].StructuralEngineeringandMechan ics,1995,3:497～509
[7] LiChunxiang.Performanceofmultipletunedmassdampersforattenuatingundesirableoscillationsofstructuresunderthegroundacceleration[J].EarthquakeEngineeringandStruc turalDynamics,2000,29:1405～1421
[8] ChangCH ,SoongTT .Structuralcontrolusingactivetunedmassdampers[J].J .Engrg.Mech.Div,ASCE ,1980,106(6):1091～1098
[9] AnkireddiS ,YangTY .SimpleATMDcontrolmethodologyfortallbuildingssubjecttowindloads[J].J .Struct.En grg,ASCE ,1996,122(1):83～91
[10] LiChunxiang.OptimummultipletunedmassdampersforstructuresunderthegroundaccelerationbasedonDDMFandADMF [J].EarthquakeEngineeringandStructuralDynam ics,2002,31:897～919
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