MTMD结构系统中瞬态波的传播
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摘要
将回传矩阵法引入到MTMD结构系统的瞬态响应分析中,采用经典轴向杆理论和Timoshenko梁理论考虑主体结构构件的轴向和弯曲运动,推导了具有MTMD的平面框架结构系统的回传矩阵列式,研究了结构附加MTMD后瞬态响应的变化及MTMD设计参数对减振效果的影响。计算分析表明,在结构上附加MTMD可以减小结构在承受突加荷载时的瞬态响应,达到振动控制的目的,但取用不同的MTMD设计参数对减振效果有较大的影响。算例同时表明回传矩阵法在求解附加MTMD结构系统的瞬态响应时具有计算精度高、求解代价小等优点。
An extension of the reverberation matrix method is made to transient analysis of structures with MTMD.The dynamic joint coupling model of a continuous structural member is proposed for this type of structures.Formulations of the reverberation matrix method for planar framed structures with MTMD are derived.With them the transient response and influence of MTMD are investigated.Numerical example results indicate that MTMD can reduce the transient response effectively,and different parameters of MTMD have different effects on the reduction of the structural transient response.The advantages of high accuracy and less computational cost of the reverberation matrix method in the transient response analysis are also shown.
An extension of the reverberation matrix method is made to transient analysis of structures with MTMD.The dynamic joint coupling model of a continuous structural member is proposed for this type of structures.Formulations of the reverberation matrix method for planar framed structures with MTMD are derived.With them the transient response and influence of MTMD are investigated.Numerical example results indicate that MTMD can reduce the transient response effectively,and different parameters of MTMD have different effects on the reduction of the structural transient response.The advantages of high accuracy and less computational cost of the reverberation matrix method in the transient response analysis are also shown.
引文
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[2]Rana R,Soong TT.Parametric study and simplified design oftuned mass dampers[J].Journal of Engineering Structures,1998,20(3):193—204.
[3]顾明,陈人,项海帆,伍杰明.用于杨浦大桥抖振控制的MTMD研究[J].振动工程学报,1998,11(1):1—8.
[4]蔡国平,孙峰.MTMD控制结构地震反应特性研究.工程力学,2000,17(3):55—59.
[5]李春祥,周岱.基于位移响应控制时不同激励下MTMD性能的比较研究[J].振动与冲击,2004,23(2):52—54.
[6]Chen Y H,Chen D S.Timoshenko beam with tuned massdampers to moving Loads[J].Journal of Bridge Engineering,2004,17:167—177.
[7]Lin C C,Wang J F,Chen B L.Train-induced vibration con-trol of high-speed railway bridges equipped with multipletuned mass dampers[J].Journal of Bridge Engineering,2005,10(4):398—414.
[8]Li J Z,Su MB,Fan LC.Vibration control of railway bridgesunder high-speed trains using multiple tuned mass dampers[J].Journal of Bridge Engineering,2005,10(3):312—320.
[9]Howard S M,Pao Y H.Analysis and experiments on stresswaves in planar trusses[J].Journal of Engineering Mechan-ics,1998,124:884—891.
[10]Pao Y H,Keh D C,Howard S M.Dynamic response andwave propagation in plane trusses and frames[J].AIAAJournal,1999,37:594—603.
[11]Graff K F.Wave Motion in Elastic Solids[J].New York:Dover,1991.
[12]郑罡,高赞明,倪一清.高层建筑MTMD风振控制的参数优化[J].振动与冲击,2004,23(3):117—120.
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