双向水平及扭转调谐质量阻尼器及其减震控制研究
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摘要
调谐质量阻尼器可以减小地震作用下的结构动力响应,但传统的调谐质量阻尼器在控制结构平移-扭转耦联多维振动方面存在不足。提出由调谐质量块、扭转质量块及扭转杠杆等组成的双向水平及扭转调谐质量阻尼器,利用其自身的平移和转动可以实现对结构水平及扭转振动控制。根据该多维调谐质量阻尼器的运动机理,建立了考虑偏心扭转效应的结构减震体系控制运动方程。以一装有多维调谐质量阻尼器的偏心结构为算例,对结构在地震作用下的扭转耦联减震性能进行研究,并对多维调谐质量阻尼器与传统单向调谐质量阻尼器的减震效果进行了对比分析。结果表明:合理布置的多维调谐质量阻尼器能有效降低结构在水平两向及扭转方向的振动,其减震明显优于传统的单向调谐质量阻尼器。
Tuned mass damper(TMD) can reduce the dynamic response of a structure under earthquake,but the traditional TMD is not effective to reduce translation-torsion coupled vibration of a structure.Here,a two-directional horizontal and torsional TMD including tuned mass blocks,torsional mass blocks and rotation lever was proposed.The horizontal and torsional vibration responses of a structure were controlled by means of the translation and the rotation of a multi-dimensional tuned mass damper(MDTMD) in different directions.According to the movement mechanism of a MDTMD,the equation of motion for the control system considering eccentric torsion effect was derived.An eccentric structure with MDTMD was analyzed to verify its control performance for the horizontal and torsional coupled vibration system under earthquake,and its vibration reduction effect was compared with that of the traditional TMD.The results showed that the coupled response can be reduced effectively with a MDTMD and the vibration reduction efficiency is much higher than that of the traditional TMD.
Tuned mass damper(TMD) can reduce the dynamic response of a structure under earthquake,but the traditional TMD is not effective to reduce translation-torsion coupled vibration of a structure.Here,a two-directional horizontal and torsional TMD including tuned mass blocks,torsional mass blocks and rotation lever was proposed.The horizontal and torsional vibration responses of a structure were controlled by means of the translation and the rotation of a multi-dimensional tuned mass damper(MDTMD) in different directions.According to the movement mechanism of a MDTMD,the equation of motion for the control system considering eccentric torsion effect was derived.An eccentric structure with MDTMD was analyzed to verify its control performance for the horizontal and torsional coupled vibration system under earthquake,and its vibration reduction effect was compared with that of the traditional TMD.The results showed that the coupled response can be reduced effectively with a MDTMD and the vibration reduction efficiency is much higher than that of the traditional TMD.
引文
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[7]李春祥,熊学玉,程斌.基于参数组合和加速度传递函数的最优MTMD研究[J].振动与冲击,2001,20(3):50-54.
[8]Li C X.Performance of multiple tuned mass dampers forattenuating undesirable oscillations of structures under theground acceleration[J].Earthquake Engineering andStructural Dynamics,2000,29(5):1405-1421.
[9]汪正兴,任文敏,苏继宏,等.多重调谐质量阻尼器参数优化的一种改进算法及其应用[J].工程力学,2005,22(5):26-30.
[10]闫维明,纪金豹,蒋华戈,等.新型悬吊式TMD及其在某标志塔风振控制中的应用[J].建筑结构学报,2010,31(2):55-59.
[11]李爱群,黄瑞新,赵耕文.基于简化模型的北京奥林匹克公园中心演播塔顺风向风振TMD控制研究[J].振动与冲击,2010,29(10):170-174.
[12]Jangid R S,Datta T K.Performance of multiple tuned massdampers for torsionally coupled system[J].EarthquakeEngineering and Structural Dynamics,1997,26(3):307-317.
[13]李春祥.多重调谐质量阻尼器控制单层非对称结构扭转振动的设计参数[J].振动与冲击,2005,24(1):118-120.
[14]罗仁,何玉敖.地震作用下高层建筑平移-扭转祸联振动的控制[J].建筑结构学报,1997,18(6):65-73.
[15]黄世敏,魏涟,程绍革,等.不对称高层建筑平移-扭转耦连振动的多振型控制研究[J].工程抗震,2004,26(2):4-8.
[2]李宏男.结构多维抗震理论[M].北京:科学出版社,2006.
[3]Xu K,Igusa T.Dynamic characteristics of multiplesubstructures with closely spaced frequencies[J].Earthquake Engineering and Structural Dynamics,1992,21(5):1059-1070.
[4]Abe M,Igusa T.Tuned mass dampers for structures withclosely spaced natural frequencies[J].EarthquakeEngineering and Structural Dynamics 1995,24(2):247-261.
[5]Fujino Y,Abe M.Design formulas for tuned mass dampersbased on a perturbation technique[J].EarthquakeEngineering and Structural Dynamics,1993,22(4):833-854.
[6]Kareem A,Kline S.Performance of multiple mass dampersunder random loading[J].Journal of Structural Engineering,ASCE,1995,121(2):348-361.
[7]李春祥,熊学玉,程斌.基于参数组合和加速度传递函数的最优MTMD研究[J].振动与冲击,2001,20(3):50-54.
[8]Li C X.Performance of multiple tuned mass dampers forattenuating undesirable oscillations of structures under theground acceleration[J].Earthquake Engineering andStructural Dynamics,2000,29(5):1405-1421.
[9]汪正兴,任文敏,苏继宏,等.多重调谐质量阻尼器参数优化的一种改进算法及其应用[J].工程力学,2005,22(5):26-30.
[10]闫维明,纪金豹,蒋华戈,等.新型悬吊式TMD及其在某标志塔风振控制中的应用[J].建筑结构学报,2010,31(2):55-59.
[11]李爱群,黄瑞新,赵耕文.基于简化模型的北京奥林匹克公园中心演播塔顺风向风振TMD控制研究[J].振动与冲击,2010,29(10):170-174.
[12]Jangid R S,Datta T K.Performance of multiple tuned massdampers for torsionally coupled system[J].EarthquakeEngineering and Structural Dynamics,1997,26(3):307-317.
[13]李春祥.多重调谐质量阻尼器控制单层非对称结构扭转振动的设计参数[J].振动与冲击,2005,24(1):118-120.
[14]罗仁,何玉敖.地震作用下高层建筑平移-扭转祸联振动的控制[J].建筑结构学报,1997,18(6):65-73.
[15]黄世敏,魏涟,程绍革,等.不对称高层建筑平移-扭转耦连振动的多振型控制研究[J].工程抗震,2004,26(2):4-8.
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