竖向刚度对FPS滑移摩擦摆系统隔震性能影响研究
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摘要
根据多体动力学理论相对动能定理推求了FPS滑移式摩擦摆隔震系统动力反应分析计算公式,并考虑了竖向弹性振动的影响。分析与计算结果表明:FPS滑移摩擦摆具有隔震系统所必需的特性。较长的自振周期使其具有必要的隔震能力;依靠重力可以使结构复位。依靠滑块与滑道接触面的滑动摩擦阻力可以消耗传入结构的能量。适当地选取滑道半径与滚动摩擦系数值,隔震效率可达90%左右。当滑道半径为2m～3m、滑动摩擦系数为0.01左右时,隔震系统具有较好的消能效果与复位能力。在通常实用的滑动摩擦系数范围内,当竖向层间刚度系数为水平层间刚度系数的10倍以上时,可以不考虑竖向振动对水平方向隔震效果的影响。
A theoretical analyzing approach about FPS seismic isolation system is derived.It starts from the relative kinematics energy theorem in multiply-body dynamics,including the effect of inter-storey rigidity coefficient in the vertical direction.Computation results show that a FPS system has the three kinds of necessary capabilities required for an effective isolation system.The relatively long vibration period provides the necessary isolation capability,the gravity provides the reposition capability,and the slipping friction forces at the contacting surface provides the energy dissipation capability.It is shown that the inter-storey drift resulted from seismic action could be drastically decreased on buildings equipped with FPS system.If an optimum combination of slide radius and slipping friction coefficient is adopted,the seismic isolation effectiveness could be as high as 88%.It is also shown that when slide radius is in the range of 2～3m and the rolling friction coefficient is about 0.01,the FPS system posses both good energy dissipation and good reposition capabilities.If the vertical inter-storey rigidity coefficient is 10 times more than the horizontal inter-storey rigidity coefficient,for an practical range of rolling frictional coefficient,the affect of vertical rigidity could be neglected.
A theoretical analyzing approach about FPS seismic isolation system is derived.It starts from the relative kinematics energy theorem in multiply-body dynamics,including the effect of inter-storey rigidity coefficient in the vertical direction.Computation results show that a FPS system has the three kinds of necessary capabilities required for an effective isolation system.The relatively long vibration period provides the necessary isolation capability,the gravity provides the reposition capability,and the slipping friction forces at the contacting surface provides the energy dissipation capability.It is shown that the inter-storey drift resulted from seismic action could be drastically decreased on buildings equipped with FPS system.If an optimum combination of slide radius and slipping friction coefficient is adopted,the seismic isolation effectiveness could be as high as 88%.It is also shown that when slide radius is in the range of 2～3m and the rolling friction coefficient is about 0.01,the FPS system posses both good energy dissipation and good reposition capabilities.If the vertical inter-storey rigidity coefficient is 10 times more than the horizontal inter-storey rigidity coefficient,for an practical range of rolling frictional coefficient,the affect of vertical rigidity could be neglected.
引文
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[2]Wang Yen-Po,Chung Lap-Loi,Liao Wei-Hsin.Sesmic response analysis of bridges isolated with friction pendulum bearings[J].Earthquake Engineering&Structural Dynamics,1998.27(10):1069～1093
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[5]周锡元,阎维明,杨润林.建筑结构的震动、减振和振动控制[J].建筑结构学报,2002,23(2):2～11Zhou Xi-yuan,Yan Wei-ming,Yang Run-lin.Seismic base isolation,energy dissipation and vibration control of building structures[J].Journal of Building Structures,2002,23(2):2～11
[6]李大望,周锡元,王东炜.摩擦摆系统振动性态的进一步分析[J].振动工程学报,2001,14(3):330～333Li Da-wang,Zhou Xi-yuan,Wang Dong-wei.Further analysis for the vibration performances of friction pendulum systems[J].Journal of Vibration Engineering,2001,14(3):330～333
[7]李大望,关罡,赵卓,等.摩擦系统稳态随机响应预测[J].世界地震工程,2000,16(3):101～104Li Da-wang,Guan Gang,Zhao Zhuo.Forecasting for the steady state random responses of friction pendulum systems[J]World Earthquake Engineering,2000,16(3):101～104
[8]杨林,常永平,周锡元,闫维明.FPS隔震体系振动台试验与有限元模型对比分析[J].建筑结构学报,2008,29(4):66～72Yang Lin,Chang Yong-ping,Zhou Xi-yuan,Yan Wei-ming.Comparison analysis for the shaking table test and finite element model of FPS system[J].Journal of Building Structures,2008,29(4):66～72
[9]Mokha A S,Constantinou M C,Reinhom A M,Zayas V.Experimental study of friction pendulum system isolation system[J].Journal of Structure Engineering,ASCE,1991,117(4):1201～1217
[10]Mokha A S,Amin N,Constantinou M C,Zayas V.Sesmic isolation retrofit of large historic buildings[J].Journal of Structure Engineering,ASCE,1996,122(3):298～308
[11]Hwang J S.Evaluation of equivalent linear analysis methods of bridge isolation[J].Journal of Structure Engineering,ASCE,1996,122(8):972～976
[12]Tsopelas P,Constantinou M C,Kim Y S,Okamoto S.Experimental study of FPS system in bridge seismic isolation[J].Earthquake Engineering and Structural Dynamics,1996,25:65～78
[2]Wang Yen-Po,Chung Lap-Loi,Liao Wei-Hsin.Sesmic response analysis of bridges isolated with friction pendulum bearings[J].Earthquake Engineering&Structural Dynamics,1998.27(10):1069～1093
[3]Jangid R S,Datta T K.Seimic behaviour of base isolated buildings:a state of the art review[J].Structures and Buildings,1995,110(2):186～202
[4]李大望,李桂青,周锡元.FPS隔震结构的水平和竖向振动响应分析[J].建筑结构,2000,30(7):61～64Li Da-wang,Li Gui-qing,Zhou Xi-yuan.Horizontal and vertical dynamic response analysis for FPS seismic isolation system[J].Building Structures,2000,30(7):61～64
[5]周锡元,阎维明,杨润林.建筑结构的震动、减振和振动控制[J].建筑结构学报,2002,23(2):2～11Zhou Xi-yuan,Yan Wei-ming,Yang Run-lin.Seismic base isolation,energy dissipation and vibration control of building structures[J].Journal of Building Structures,2002,23(2):2～11
[6]李大望,周锡元,王东炜.摩擦摆系统振动性态的进一步分析[J].振动工程学报,2001,14(3):330～333Li Da-wang,Zhou Xi-yuan,Wang Dong-wei.Further analysis for the vibration performances of friction pendulum systems[J].Journal of Vibration Engineering,2001,14(3):330～333
[7]李大望,关罡,赵卓,等.摩擦系统稳态随机响应预测[J].世界地震工程,2000,16(3):101～104Li Da-wang,Guan Gang,Zhao Zhuo.Forecasting for the steady state random responses of friction pendulum systems[J]World Earthquake Engineering,2000,16(3):101～104
[8]杨林,常永平,周锡元,闫维明.FPS隔震体系振动台试验与有限元模型对比分析[J].建筑结构学报,2008,29(4):66～72Yang Lin,Chang Yong-ping,Zhou Xi-yuan,Yan Wei-ming.Comparison analysis for the shaking table test and finite element model of FPS system[J].Journal of Building Structures,2008,29(4):66～72
[9]Mokha A S,Constantinou M C,Reinhom A M,Zayas V.Experimental study of friction pendulum system isolation system[J].Journal of Structure Engineering,ASCE,1991,117(4):1201～1217
[10]Mokha A S,Amin N,Constantinou M C,Zayas V.Sesmic isolation retrofit of large historic buildings[J].Journal of Structure Engineering,ASCE,1996,122(3):298～308
[11]Hwang J S.Evaluation of equivalent linear analysis methods of bridge isolation[J].Journal of Structure Engineering,ASCE,1996,122(8):972～976
[12]Tsopelas P,Constantinou M C,Kim Y S,Okamoto S.Experimental study of FPS system in bridge seismic isolation[J].Earthquake Engineering and Structural Dynamics,1996,25:65～78
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