考虑涡旋效应的圆柱形TLD多维减震效果研究
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摘要
调谐液体阻尼器可以控制地震作用下的结构动力响应。研究了利用圆柱形调液阻尼器来控制结构在地震作用下的扭转耦联振动。采用薄膜法建立了包含脉冲动压力和对流动压力的调谐液体阻尼器液动压力模型。基于准均匀涡旋理论获得了考虑调谐液体的抗扭力模型。建立了考虑偏心扭转效应的结构控制运动方程。以一装有调谐液体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效果进行研究,并分析了调谐液体的脉冲动压力、对流动压力和涡旋抗扭力在减震中的作用。结果表明:合理布置的调液阻尼器能有效控制结构的平-扭耦联振动,不能忽略液体涡旋产生的扭转力。
Tuned liquid damper(TLD) can reduce dynamic amplitudes of a structure under earthquake.The seismic control of horizontal and torsional response of a structure with cylindrical TLDs was studied.The hydraulic pressure model of the cylindrical TLD including pulse pressure and convection pressure was established with the membrane analog method.The torsional model of the cylindrical TLD was obtained based on the quasi-uniform vortex theorem.The equation of motion for the control system considering eccentric torsion effect was derived and the solving method was presented.A 10-story eccentric structure with TLDs was analyzed to verify the control performance of TLDs for the horizontal and torsional coupled system under earthquake.The effect of pulse pressure,convection pressure and vortex torsional force was analyzed.The results showed that the coupled response can be reduced effectively and the vortex torsional force can not be ignored.
Tuned liquid damper(TLD) can reduce dynamic amplitudes of a structure under earthquake.The seismic control of horizontal and torsional response of a structure with cylindrical TLDs was studied.The hydraulic pressure model of the cylindrical TLD including pulse pressure and convection pressure was established with the membrane analog method.The torsional model of the cylindrical TLD was obtained based on the quasi-uniform vortex theorem.The equation of motion for the control system considering eccentric torsion effect was derived and the solving method was presented.A 10-story eccentric structure with TLDs was analyzed to verify the control performance of TLDs for the horizontal and torsional coupled system under earthquake.The effect of pulse pressure,convection pressure and vortex torsional force was analyzed.The results showed that the coupled response can be reduced effectively and the vortex torsional force can not be ignored.
引文
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[2]李宏男.结构多维抗震理论[M].北京:科学出版社,2006.
[3]周锡元,闫维明,杨润林.建筑结构的隔震、减振和振动控制[J].建筑结构学报,2002,23(2):2-12.
[4]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.
[5]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.
[6]霍林生,李宏男.调液阻尼器对偏心结构扭转耦联振动控制的研究[J].工程力学,2010,27(1):84-90.
[7]居容初,曾心传.弹性结构与液体的耦联振动理论[M].北京:地震出版社,1983.
[8]Housner G W.Dynamic pressure on accelerated fluidcontainers[J].Bulletin of the Seismological of America,1957,41(1):15-35.
[9]Sayar B A,Baumgarten J R.Linear and nonlinear analysis offluid slosh dampers[J].AIAA Journal,1982,20(11):1534-1538.
[10]Yalla S K.Liquid dampers for mitigation of structural re-sponse:Theoretical development and experimental validation[D].University of Noire Dame,Indiana,2001.
[11]Epstein H I.Seismic design of liquid storage tanks[J].Journal of Structural Division,1976,102(9):1659-1673.
[12]王照林,刘延柱.充液系统动力学[M].北京:科学出版社,2002.
[13]包光伟.自旋液体晃动Pfeiffer方法的分析[J].力学学报,1993,25(6):738-743.
[14]丁遂亮,包光伟.任意三维贮箱内液体晃动的模态分析及其等效力学模型[J].力学季刊,2004,25(1):62-68.
[15]包光伟.微重力环境下慢自旋充液容器内的液体晃动[J].力学季刊,1992,13(4):19-27.
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