悬链线凹曲线滑道辊轴摩擦摆隔震性能分析研究
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摘要
根据多体动力学理论中的动能定理,推求了悬链线曲线弧面滑道辊轴摩擦摆隔震系统地震动力反应分析计算公式。辊轴放置在具有悬链线内凹曲线形状的上、下盘滑道中间,形成辊轴式摩擦摆。分析与计算结果表明,这种摩擦摆具有隔震系统所必需特性,较长的自振周期使其具有必要的隔离能力,依靠重力可以使其复位。由在辊轴与上、下盘接触面的滚动摩擦作用,可以消耗传入结构的能量。适当地选取悬链线参数a与滚动摩擦系数值,隔震效率可达90%左右。当悬链线参数a为2.0～3.0 m、滚动摩擦系数为0.01左右时,隔震系统具有较好的消能效果与复位能力。当滚动摩擦系数增大时,隔震效率将降低。
A theoretical analyzing approach about a class of seismic isolation system RFPS(rolling friction pendulum system) is presented.It starts from the relative kinematics energy theorem in multiply body dynamics.This system consists of a roller which is placed in the vicinity of two catenary concave slides.Computation results for ellipse slide show that it has the three kinds of necessary functions required for an effective isolation system.The relatively long vibration period provides the necessary isolation capability,the gravity provides the reposition capability,and the friction couple,formed with the rolling friction forces at the contacting surface on the top and bottom plate respectively,provides the energy dissipation capability.If an optimum combination of roll radius and rolling friction coefficient is adopted,the seismic isolation effectiveness could be as high as 90%.It is also shown that when a is in the range of 2.0～3.0 m and the rolling friction coefficient is about 0.01,the RFPS system exhibits both good energy dissipation and good reposition behaviors.It is found that increment in rolling friction coefficient will be accompanied by reduction in seismic isolation effectiveness.
A theoretical analyzing approach about a class of seismic isolation system RFPS(rolling friction pendulum system) is presented.It starts from the relative kinematics energy theorem in multiply body dynamics.This system consists of a roller which is placed in the vicinity of two catenary concave slides.Computation results for ellipse slide show that it has the three kinds of necessary functions required for an effective isolation system.The relatively long vibration period provides the necessary isolation capability,the gravity provides the reposition capability,and the friction couple,formed with the rolling friction forces at the contacting surface on the top and bottom plate respectively,provides the energy dissipation capability.If an optimum combination of roll radius and rolling friction coefficient is adopted,the seismic isolation effectiveness could be as high as 90%.It is also shown that when a is in the range of 2.0～3.0 m and the rolling friction coefficient is about 0.01,the RFPS system exhibits both good energy dissipation and good reposition behaviors.It is found that increment in rolling friction coefficient will be accompanied by reduction in seismic isolation effectiveness.
引文
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[2]Jangid R S,Datta T K.Seimic behaviour of base isolated build-ings:a state of the art rview[J].Structures and buildings,1995,110(2):186-202.
[3]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):2-11.
[4]Zayas V,Low S S,Mahin S A.A simple pendulum technique forachieving seismic isolation[J].Earthquake Spectra,1990,6(2):317-331.
[5]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):330-333.
[6]李大望,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):101-104.
[7]Yuan Jian,Rosch K E Paul.Equation of motion for novel frictionpendulum system with dual rollers.[J].Transactions of Nanjing U-niversity of Aeronautics&Astronautics,2005,22(4):276-280.
[8]Mokha A S,Amin N Constantinou M C,Zayas V,Sesmic isolationretrofit of large historic buildings[J].Journal of structure engineer-ing,ASCE,1996,122(3):298-308.
[9]Hwang J S,Evaluation of equivalent linear analysis methods ofbridge isolation[J].Journal of strueture engineering,ASCE,1996,122(8):972-976.
[10]Tsopelas P,Constantinou M C,Kim Y S,Okamoto S.Experimentalstudy of FPS system in bridge seismic isolation[J].EarthquakeEngineering and Structural Dynamics,1996,25:65-78.
[11]Drutowski R C.Energy losses of balls rolling on plates[J].Trans-actions of ASME,series D,1959,81:233-238.
[12]Johnson K L.Contact Mechanics[M].London,Cambridge Univer-sity Press,1985.
[13]Bentall R H,Johnson K L.Slip in the contact of two dissimilar E-lastic Rollers[J].International Journal of Mechanical Science,1967,9:389-404.
[14]Drutowski R C,The role of micro-slip for free rolling bodies[J].Journal of Basic Engineering,Transactions of ASME,serial D,1965,87:724-728.
[15]Johnson K L.Surface interaction between elastically loaded bodiesunder tangential forces[J].Proceedings of Royal society,serial A,1955,230:531-548.
[16]Johnson K L.The effect of a tangential contact force upon the roll-ing motion of an elastic sphere on a plane[J].Transactions ofASME,Journal of Applied Mechanics,1958,25:339-347.
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