高层隔震结构双质点模型的地震响应单纯质点法研究
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摘要
针对高层隔震结构的双质点简化模型提出了可快速计算其地震响应的单纯质点法,该方法基于基底剪力及能量等效原则来建立简化两质点分析模型与原结构模型之间的转换关系及简化模型的参数取值,推导得到了确定地震反应的两个关键参数:刚度转换系数和质量比。研究基于能量平衡方法提出了高层隔震结构简化分析模型包络反应的计算式,并通过利用能量平衡原理及模型参数转换关系来预测原高层隔震结构的各层地震反应包络值。对22层高层隔震结构工程实例首先进行了双质点模型的转化,其后验证了单纯质点法的有效性和分析精度,分析结果表明新方法计算结果与多质点模型时程分析法计算结果相近,且能包络上部结构各层地震响应。该方法计算量少,参数取值简便,可用于高层隔震结构地震响应的初步分析。
Aiming at a two-mass simplified model of a high-rise isolated structure,the pure mass method(PMM) utilized to calculate quickly earthquake responses of high-rise isolated structures was proposed here.Firstly,the conversion relation between the two-mass simplified model and the archetype was established and the parameters of the two-mass model were determined according to the equivalent criteria for base shear force and energy.And then,two key parameters of stiffness conversion coefficient and mass ratio were obtained to determine seismic responses.The envelope response calculation formulas of the simplified model were proposed based on the energy balance method.The energy balance method and the model conversion relation were used to predict the seismic response envelope values of every layer of the archetype.An engineering example of 22-story high-rise isolated structure was converted into a two-mass simplified model.Then,the effectiveness and analysis accuracy of the pure mass model method were verified.It was shown that computational results of the new method are similar to those with multi-mass model time history analysis method;the calculation time of the proposed method is less,and the model parameters determination is clear and convenient;the new method can be applied to analyze the earthquake responses of high-rise isolated structures.
Aiming at a two-mass simplified model of a high-rise isolated structure,the pure mass method(PMM) utilized to calculate quickly earthquake responses of high-rise isolated structures was proposed here.Firstly,the conversion relation between the two-mass simplified model and the archetype was established and the parameters of the two-mass model were determined according to the equivalent criteria for base shear force and energy.And then,two key parameters of stiffness conversion coefficient and mass ratio were obtained to determine seismic responses.The envelope response calculation formulas of the simplified model were proposed based on the energy balance method.The energy balance method and the model conversion relation were used to predict the seismic response envelope values of every layer of the archetype.An engineering example of 22-story high-rise isolated structure was converted into a two-mass simplified model.Then,the effectiveness and analysis accuracy of the pure mass model method were verified.It was shown that computational results of the new method are similar to those with multi-mass model time history analysis method;the calculation time of the proposed method is less,and the model parameters determination is clear and convenient;the new method can be applied to analyze the earthquake responses of high-rise isolated structures.
引文
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[2]Chung W J,Yun C B,Kim N S,et al.Shaking table andpseudodynamic tests for the evaluation of seismic performanceof base-isolated structures[J].Engineering Structure,1999,21(4):365-379.
[3]Komuro T,Nishikawa Y,Kimura Y,et al.Development andrealization of base isolation system for high-rise buildings[J].Journal of Advanced Concrete Technology,2005,3(2):233-239.
[4]Hwang J S.Evaluation of equivalent linear analysis method ofbridge isolation[J].Journal of Structural Engineering ASCE,1996,122(8):972-976.
[5]Kelly J M.The role of damping in seismic isolation[J].Earthquake Engineering and Engineering Dynamics,1999,28(1):3-20.
[6]Weitzmann R,Ohsaki M,Nakashima M.Simplified methodsfor design of base-isolated structures in the long-periodhigh-damping range[J].Earthquake Engineering andEngineering Dynamics,2006,35(4):497-515.
[7]Wang S J,Chang K C,Hwang J S,et al.Simplified analysisof mid-story sesimically isolated structure[J].EarthquakeEngineering and Engineering Dynamics,2010,40(2):119-133.
[8]Lee D G,Hong J M,Kim J K.Vertical distribution ofequivalent static loads for base isolated building structures[J].Engineering Structures,2001,23(10):1293-1306.
[9]Tsai C S,Chen B J,Chiang T C.Experimental andcomputational verification of reasonable design formulate forbase-isolated structure[J].Earthquake Engineering andEngineering Dynamics,2003,32(9):1389-1406.
[10]Chao S H,Goel S C,Lee S S.A seismic design lateral forcedistribution based on inelastic state of structures[J].Earthquake Spectra,2007,23(3):547-569.
[11]Ryan K L,York K.Vertical distribution of seismic forces forsimplified design of base isolated buildings[M].StructuresCongress:New Horizons and Better Practices,2007.
[12]Cardon D,Dolce M,Gesualdi G.Lateral force distribution ofthe linear static analysis of base-isolated buildings[J].BullEarthquake Engineering,2009,7(3):801-834.
[13]Lee D M.Base isolation for torsion reduction in asymmetricstructures under earthquake loading[J].EarthquakeEngineering and Structural Dynamics,1980,8(4):349-359.
[14]Akiyama H.Earthquake resistant limit-state design forbuildings[M].University of Tokyo Press,1985.
[15]Chiba Y,Satsukawa k,Kitamura H,et al.Energy balance-based seismic response prediction methods for seismic isolatedbuildings with rubber bearings,dampers and low frictionelastic sliding bearings[J].Journal of Structural andConstruction Engineering(Transactions of AIJ),2004,575:65-72.
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