土-隔震结构相互作用体系动力特性参数的简化分析方法
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摘要
基于集总参数SR(sway-rocking)模型,建立隔震结构考虑土-结构相互作用(SSI)影响的简化分析模型,并经严格推导得到了模型动力特性参数的计算公式,由此可将常规非隔震结构的简化分析方法延伸到隔震结构的相互作用分析。通过算例分析,与复模态分析方法进行了对比。对比结果表明,该文提出的计算公式对绝大多数工程场地都有很好的适用性,但是相比复模态方法该文方法更加简单实用。算例分析同时表明SSI对于高层隔震结构的影响比中低层结构大。该文提出的简化计算方法是隔震结构初步设计评估SSI效应的简便有效的工具,同时为隔震结构考虑SSI效应的基于反应谱理论的设计方法研究奠定基础。
A simplified analysis model of base-isolated structure considering soil-structure interaction(SSI) is proposed based on an SR(sway-rocking) model.Rigorous and closed-form formulas for dynamic characteristic parameters are derived.In essence,the proposed methodology is an important extension of the simplified methodology for the case of non-isolated structures.The results of the proposed methodology were compared with the corresponding ones of the relatively rigorous complex eigenvalue approach with examples.And the results of comparison indicated that the proposed formulas can be applied in most engineering site conditions.However,the proposed method is more simple and practical.It is also shown that the SSI effects are more pronounced for high-rise structures in comparison to the low-rise ones.The proposed methodology can provides a concise and effective way of evaluating SSI effects on isolated structures in the schematic design phase,laying the groundwork for the study of the design method of isolated structures considering soil-structure interactions.
A simplified analysis model of base-isolated structure considering soil-structure interaction(SSI) is proposed based on an SR(sway-rocking) model.Rigorous and closed-form formulas for dynamic characteristic parameters are derived.In essence,the proposed methodology is an important extension of the simplified methodology for the case of non-isolated structures.The results of the proposed methodology were compared with the corresponding ones of the relatively rigorous complex eigenvalue approach with examples.And the results of comparison indicated that the proposed formulas can be applied in most engineering site conditions.However,the proposed method is more simple and practical.It is also shown that the SSI effects are more pronounced for high-rise structures in comparison to the low-rise ones.The proposed methodology can provides a concise and effective way of evaluating SSI effects on isolated structures in the schematic design phase,laying the groundwork for the study of the design method of isolated structures considering soil-structure interactions.
引文
[1]Masahiko Higashino,Shin Okamoto.Response controland seismic isolation of buildings[M].London and NewYork:Taylor&Francis,2006:63―86.
[2]裴星洙,王维,王星星.基于能量原理的隔震结构地震响应预测法研究[J].工程力学,2011,28(7):65―70.Pei Xingzhu,Wang Wei,Wang Xingxing.Earthquakeresponse prediction of isolated structures based onenergy principle[J].Engineering Mechanics,2011,28(7):65―70.(in Chinese)
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[4]李向真,向伟明,朱小文.房屋隔震体系动力特性计算的摄动方法[J].工程力学,2010,27(7):200―204.Li Xiangzhen,Xiang Weiming,Zhu Xiaowen.Theperturbation method for dynamic characteristics of baseisolation building system[J].Engineering Mechanics,2010,27(7):200―204.(in Chinese)
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[12]Naeim F,Kelly J M.Design of seismic isolationstructures[M].New York:John Wiley&Sons Inc,1999:25―31.
[13]王焕定,付伟庆,刘文光,于德湖,程树良.规则隔震结构等效简化模型的研究[J].工程力学,2006,23(8):138―143.Wang Huanding,Fu Weiqing,Liu Wenguang,Yu Dehu,Cheng Shuliang.Research on equivalent simplifiedmodel of regular shock-insulation building[J].Engineering Mechanics,2006,23(8):138―143.(inChinese)
[14]曹加良,施卫星,刘文光.隔震结构动力特性及响应对计算模型参数的敏感性研究[J].工程力学,2011,28(8):168―176.Cao Jialiang,Shi Weixing,Liu Wenguang.Sensitivity ofdynamic response and characteristics of isolatedstructures to calculation model parameters[J].Engineering Mechanics,2011,28(8):168―176.(inChinese)
[15]Bielak J.Modal analysis for building-soil interaction[J].Journal of the ASCE Engineering Mechanics Division,1976,102(EM5):771―786.
[16]Chopra A K,Gutierrez J A.Earthquake analysis ofmultistory buildings including foundation interaction[J].Earthquake Engineering and Structural Dynamics,1974,3:65―67.
[17]Veletsos A S,Ventura C E.Modal analysis ofnon-classically damped systems[J].EarthquakeEngineering and Structural Dynamics,1986,14:217―243.
[18]Gazetas G.Foundation vibrations[M]//HY Fang.Foundation Engineering Handbook,2nd ed.New York:Van Nostrand Reinhold,1991:553―593.
[19]Veletsos A S,Meek J W.Dynamic behavior of buildingfoundation systems[J].Earthquake Engineering andStructural Dynamics,1974,3(2):121―138.
[20]Hwang J S,Chang K C,Tsai M H.Composite dampingratio of seismically isolated regular bridges[J].Engineering Structures,1997,19(1):55―62.
[2]裴星洙,王维,王星星.基于能量原理的隔震结构地震响应预测法研究[J].工程力学,2011,28(7):65―70.Pei Xingzhu,Wang Wei,Wang Xingxing.Earthquakeresponse prediction of isolated structures based onenergy principle[J].Engineering Mechanics,2011,28(7):65―70.(in Chinese)
[3]日本建筑学会著.隔震结构设计[M].刘文光,译.北京:地震出版社,2006:110―140.Architectural Institute of Japan.Recommendation for thedesign of base isolated buildings[M].Translated by LiuWenguan.Beijing:Earthquake Press,2006:110―140.(in Chinese)
[4]李向真,向伟明,朱小文.房屋隔震体系动力特性计算的摄动方法[J].工程力学,2010,27(7):200―204.Li Xiangzhen,Xiang Weiming,Zhu Xiaowen.Theperturbation method for dynamic characteristics of baseisolation building system[J].Engineering Mechanics,2010,27(7):200―204.(in Chinese)
[5]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 bearingsand earthquake response analysis of isolation structure[D].Beijing:Beijing University of Technology,2003.(inChinese)
[6]Stewart J P,Fenves G L,Seed R B.Seismicsoil-structure interaction in buildings I:Analyticalmethods[J].Journal of Geotechnical andGeoenvironmental Engineering,1999,125(1):26―37.
[7]FEMA P-750.NEHRP recommended seismic provisionsfor new buildings and other structures[S].WashingtonD.C.Building Seismic Safety Council,2009.
[8]Constantinou M C,Kneifati M C.Dynamics ofsoil-base-isolated-structure system[J].Journal ofStructural Engineering,1988,144(1):211―220.
[9]Spyrakos C C,Koutromanos I A,Maniatakis Ch A.Seismic response of base-isolated buildings includingsoil-structure interaction[J].Soil Dynamics andEarthquake Engineering,2009,29:658―668.
[10]李海岭,葛修润.土-结构相互作用对基础隔震体系的影响[J].土木工程学报,2001,34(4):83―87.Li Hailing,Ge Xiurun.Effect of soil-structure interactionon base-isolated building system[J].China CivilEngineering Journal,2001,34(4):83―87.(in Chinese)
[11]李忠献,李延涛,王健.土-结构动力相互作用对基础隔震的影响[J].地震工程与工程振动,2003,23(5):180―186.Li Zhongxian,Li Yantao,Wang Jian.Influence ofsoil-structure dynamic interaction on base isolation[J].Earthquake Engineering and Engineering Vibration,2003,23(5):180―186.(in Chinese)
[12]Naeim F,Kelly J M.Design of seismic isolationstructures[M].New York:John Wiley&Sons Inc,1999:25―31.
[13]王焕定,付伟庆,刘文光,于德湖,程树良.规则隔震结构等效简化模型的研究[J].工程力学,2006,23(8):138―143.Wang Huanding,Fu Weiqing,Liu Wenguang,Yu Dehu,Cheng Shuliang.Research on equivalent simplifiedmodel of regular shock-insulation building[J].Engineering Mechanics,2006,23(8):138―143.(inChinese)
[14]曹加良,施卫星,刘文光.隔震结构动力特性及响应对计算模型参数的敏感性研究[J].工程力学,2011,28(8):168―176.Cao Jialiang,Shi Weixing,Liu Wenguang.Sensitivity ofdynamic response and characteristics of isolatedstructures to calculation model parameters[J].Engineering Mechanics,2011,28(8):168―176.(inChinese)
[15]Bielak J.Modal analysis for building-soil interaction[J].Journal of the ASCE Engineering Mechanics Division,1976,102(EM5):771―786.
[16]Chopra A K,Gutierrez J A.Earthquake analysis ofmultistory buildings including foundation interaction[J].Earthquake Engineering and Structural Dynamics,1974,3:65―67.
[17]Veletsos A S,Ventura C E.Modal analysis ofnon-classically damped systems[J].EarthquakeEngineering and Structural Dynamics,1986,14:217―243.
[18]Gazetas G.Foundation vibrations[M]//HY Fang.Foundation Engineering Handbook,2nd ed.New York:Van Nostrand Reinhold,1991:553―593.
[19]Veletsos A S,Meek J W.Dynamic behavior of buildingfoundation systems[J].Earthquake Engineering andStructural Dynamics,1974,3(2):121―138.
[20]Hwang J S,Chang K C,Tsai M H.Composite dampingratio of seismically isolated regular bridges[J].Engineering Structures,1997,19(1):55―62.
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