高层隔震结构单质点模型的地震响应单纯质点法研究
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摘要
提出了可以快速计算高层隔震结构地震响应的单纯质点法。这种方法基于基底剪力及能量等效原则,建立简化单质点分析模型与原结构模型之间的转换关系及模型参数取值,引入能量平衡方法计算简化分析模型的包络反应,最后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。给出了分析高层隔震结构加速度、隔震层及上部结构的层间变形、层间剪力等预测计算式。通过22层高层隔震结构工程实例来验证单纯质点法的有效性及计算精度,分析结果表明:简化计算结果与多质点模型时程分析法计算结果相当。所提计算方法计算量少,参数取值明确方便,同时具有良好的地震响应分析精度。
The pure mass model method(PMM) which can be utilized to calculate the earthquake responses quickly for high-rise isolated structures is proposed in the paper.Firstly,the simplified single mass model,its transformation relationship with original structure and its parameter selection were determined according to equivalent criteria for base shear force and energy.And then,envelop responses of simplified model were calculated by introducing energy balance method.The method and model transformation relationship were used to predict the seismic response envelop values of every layer of the original structure.The prediction formula for acceleration,deformation and storey shear force of superstructure and isolation layer were given too.The effectiveness and accuracy of pure mass model method were verified by using a 22 stories high-rise isolated structure as an engineering example.Results show that computational results of simplified method and multi-mass model time history analysis method are comparable.The calculation amounts of the method proposed is less,and parameter selection is clear and convenient with high precision analysis.
The pure mass model method(PMM) which can be utilized to calculate the earthquake responses quickly for high-rise isolated structures is proposed in the paper.Firstly,the simplified single mass model,its transformation relationship with original structure and its parameter selection were determined according to equivalent criteria for base shear force and energy.And then,envelop responses of simplified model were calculated by introducing energy balance method.The method and model transformation relationship were used to predict the seismic response envelop values of every layer of the original structure.The prediction formula for acceleration,deformation and storey shear force of superstructure and isolation layer were given too.The effectiveness and accuracy of pure mass model method were verified by using a 22 stories high-rise isolated structure as an engineering example.Results show that computational results of simplified method and multi-mass model time history analysis method are comparable.The calculation amounts of the method proposed is less,and parameter selection is clear and convenient with high precision analysis.
引文
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[14]Cardon D,Dolce M,Gesualdi G.Lateral force distri-bution of the linear static analysis of base-isolatedbuildings[J].Bull Earthquake Engineering,2009,7(3):801—834.
[15]Lee D M.Base isolation for torsion reduction in asym-metric structures under earthquake loading[J].Earth-quake Engineering and Structural Dynamics,1980,8(4):349—359.
[16]Akiyama H.Earthquake Resistant Limit-state Designfor Buildings[M].Tokyo:University of TokyoPress,1985.
[17]Chiba Y,Satsukawa K,Kitamura H,et al.Energybalance-based seismic response prediction methods forseismic isolated buildings with rubber bearings,dampers and low friction elastic sliding bearings[J].Journal of Structural and Construction Engineering(Transactions of AIJ),2004,575:65—72.
[2]Chung W J,Yun C B,Kim N S,et al.Shaking tableand pseudodynamic tests for the evaluation of seismicperformance of base-isolated structures[J].Engineer-ing Structure,1999,21(4):365—379.
[3]Komuro T,Nishikawa Y,Kimura Y,et al.Develop-ment and realization of base isolation system for high-rise buildings[J].Journal of Advanced ConcreteTechnology,2005,3(2):233—239.
[4]Hwang J S.Evaluation of equivalent linear analysismethod of bridge isolation[J].Journal of StructuralEngineering ASCE,1996,122(8):972—976.
[5]Kelly J M.The role of damping in seismic isolation[J].Earthquake Engineering and Engineering Dynam-ics,1999,28(1):3—20.
[6]Weitzmann R,Ohsaki M,Nakashima M.Simplifiedmethods for design of base-isolated structures in thelong-period high-damping range[J].Earthquake Engi-neering and Engineering Dynamics,2006,35(4):497—515.
[7]Ozdemir G,Constantinous M C.Evalution of equiva-lent lateral force procedure in estimating seismic isola-tor displacement[J].Soil Dynamics and EarthquakeEngineering,2010,30(10):1 036—1 042.
[8]刘文光.橡胶隔震支座力学性能及隔震结构地震反应分析研究[D].北京:北京工业大学,2003.Liu Wenguang.Mechanics properties of rubber bear-ings and earthquake response analysis of isolatedstructure[D].Beijing:Beijing University of Technol-ogy,2003.
[9]王焕定,付伟庆,刘文光,等.规则隔震结构等效简化模型的研究[J].工程力学,2006,2(8):138—143.Wang H D,Fu W Q,Liu W G,et al.Research on e-quivalalent simplified model of regular shock-insula-tion building[J].Engineering Mechaics,2006,2(8):138—143.
[10]Lee D G,Hong J M,Kim J K.Vertical distributionof equivalent static loads for base isolated buildingstructures[J].Engineering Structures,2001,23(10):1 293—1 306.
[11]Tsai C S,Chen B J,Chiang T C.Experimental andcomputational verification of reasonable design formu-late for base-isolated structure[J].Earthquake Engi-neering and Engineering Dynamics,2003,32(9):1 389—1 406.
[12]Chao S H,Goel S C,Lee S S.A seismic design later-al force distribution based on inelastic state of struc-tures[J].Earthquake Spectra,2007,23(3):547—569.
[13]Ryan K L,York K.Vertical distribution of seismicforces for simplified design of base isolated buildings[A].2007 Structures Congress[C].New Horizonsand Better Practices.
[14]Cardon D,Dolce M,Gesualdi G.Lateral force distri-bution of the linear static analysis of base-isolatedbuildings[J].Bull Earthquake Engineering,2009,7(3):801—834.
[15]Lee D M.Base isolation for torsion reduction in asym-metric structures under earthquake loading[J].Earth-quake Engineering and Structural Dynamics,1980,8(4):349—359.
[16]Akiyama H.Earthquake Resistant Limit-state Designfor Buildings[M].Tokyo:University of TokyoPress,1985.
[17]Chiba Y,Satsukawa K,Kitamura H,et al.Energybalance-based seismic response prediction methods forseismic isolated buildings with rubber bearings,dampers and low friction elastic sliding bearings[J].Journal of Structural and Construction Engineering(Transactions of AIJ),2004,575:65—72.
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