长周期隔震结构基于反应谱理论的地震响应预测研究
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摘要
在长周期基础隔震结构的地震响应计算或设计的某些阶段(如初步设计阶段或设计完成后的评估阶段),有必要建立一种地震响应实用计算方法,通过简单计算即能体现地震动长周期分量作用,提高隔震结构的地震安全性。通过选用合适的强震记录建立适合一定阻尼比和周期范围的、相应于规范设防烈度的相对位移、相对速度和绝对加速度反应谱,给出实用算式及地震动位移峰值和速度峰值;基于周期等效等准则,建立基础隔震结构的双质点系简化计算模型,推导简化计算模型参数、动力特性及地震响应的简化算式。建立基础隔震结构地震响应预测方法。利用建立的反应谱实用算式及两质点系计算模型的参数和动力特性的简化算式,可快速预测大阻尼比、长周期隔震结构地震响应。
Method for calculation of seismic structural response is necessary for the design of base-isolated structures.Reduction of earthquake hazard of isolated structures can be improved by taking account of long-period earthquake effects.Relative displacement spectrum,relative velocity spectrum and absolute acceleration spectrum with appropriate damping ratio and natural period were constructed according to the code fortification intensity through selecting suitable strong motion records.Relevant spectral calculation formulas and peak value of ground motion were provided through statistical calculation.Double-mass simplified calculation model for base-isolated structures was set up based on the simplification principle of equivalent natural period.Simplified calculation formulas for the double-mass model parameters as well as the dynamic characteristics and seismic response were derived,and seismic response prediction method was proposed.
Method for calculation of seismic structural response is necessary for the design of base-isolated structures.Reduction of earthquake hazard of isolated structures can be improved by taking account of long-period earthquake effects.Relative displacement spectrum,relative velocity spectrum and absolute acceleration spectrum with appropriate damping ratio and natural period were constructed according to the code fortification intensity through selecting suitable strong motion records.Relevant spectral calculation formulas and peak value of ground motion were provided through statistical calculation.Double-mass simplified calculation model for base-isolated structures was set up based on the simplification principle of equivalent natural period.Simplified calculation formulas for the double-mass model parameters as well as the dynamic characteristics and seismic response were derived,and seismic response prediction method was proposed.
引文
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[2]吴迪,罗奇峰,罗永峰.长周期地震波的研究进展[J].地震研究,2007,30(3):296-302(Wu Di,Luo Qifeng,Luo Yongfeng.Development of long-period seismic waveresearch[J].Journal of Seismological Research,2007,30(3):296-302(in Chinese))
[3]王亚勇.关于设计反应谱、时程法和能量方法的探讨[J].建筑结构学报,20002,1(1):21-28(Wang Yayong.A review of seismic response spectra,time history analysisand energy method[J].Journal of Building Structures,2000,21(1):21-28(in Chinese))
[4]日本建筑学会.隔震结构设计[M].刘文光,译.北京:地震出版社,2006(Architectural Society of Japan.Recommendation for the design of base isolated buildings[M].Liu Wenguang,Translation.Beijing:SeismologicalPress,2006(in Chinese))
[5]日本建筑构造技术者协会.日本结构技术典型实例100选——战后50余年的创新历程[M].滕征本,滕煜先,周耀坤,等,译.北京:中国建筑工业出版社,2005
[6]胡聿贤.地震工程学[M].北京:地震出版社,2006:469-521(Hu Yuxian.Earthquake engineering[M].Beijing:Seismological Press,2006:469-521(in Chinese))
[7]谢礼立,马玉宏.现代抗震设计理论的发展过程[J].国际地震动态,2003(10):1-8(Xie Lili,Ma Yuhong.The development process of the modern earthquake resistantdesign theory[J].Recent Developments in WorldSeismology,2003(10):1-8(in Chinese))
[8]FEMA 440 Improvement of nonlinear static seismic analysisprocedures[R].Washington DC:FEMA,2005
[9]周雍年,周正华,于海英.设计反应谱长周期区段的研究[J].地震工程与工程振动,20042,4(2):15-18(ZhouYongnian,Zhou Zhenghua,Yu Haiying.A study on longperiod portion of design spectra[J].EarthquakeEngineering and Engineering Vibration,2004,24(2):15-18(in Chinese))
[10]王君杰,范立础.规范反应谱长周期部分修正方法的探讨[J].土木工程学报,1998,31(6):49-55(WangJunjie,Fan Lichu.Modification of code response spectrumin long period phase[J].China Civil Engineering Journal,1998,31(6):49-55(in Chinese))
[11]王亚勇.我国2000年抗震设计模式规范基本问题研究综述[J].建筑结构学报,2000,21(1):2-4
[12]谢晓健,蒋永生,梁书亭,等.基于结构功能设计理论的发展综述[J].东南大学学报:自然科学版,2000,30(4):9-15(Xie Xiaojian,Jiang Yongsheng,Liang Shuting,et al.Review of the development of the perforcement-basedseismic-design theory[J].Journal of Southeast University:Natural Science Edition,20003,0(4):9-15(in Chinese))
[13]钱稼茹,罗文斌.静力弹塑性分析——基于性能/位移抗震设计的分析工具[J].建筑结构,2000,30(6):23-26
[14]叶燎原,潘文.结构静力弹塑性分析(push-over)的原理和计算实例[J].建筑结构学报,2000,21(1):37-43(Ye Liaoyuan,Pan Wen.The principle of nonlinear staticanalysis(push-over)and numerical examples[J].Journalof Building Structures,20002,1(1):37-43(in Chinese))
[15]周锡元,俞瑞芳.建筑结构抗震设计方法的新进展[J].建筑结构,2006,36(增):25-33(Zhou Xiyuan,YuRuifang.Development of seismic design method forbuilding structure[J].Building Structure,2006,36(S):25-33(in Chinese))
[16]施卫星,李正升,汪大绥.基础隔震位移反应谱及其应用[J].同济大学学报:自然科学版,2000,28(1):29-32(Shi Weixing,Li Zhengsheng,Wang Dasui.Calculationand application of displacement spectrum in base-isolatedbuildings[J].Journal of Tongji University:Natural ScienceEdition,2000,28(1):29-32(in Chinese))
[17]曹加良.用Matlab软件内部函数校正强震记录的探讨[J].华南地震,2009,29(2):88-94(Cao Jialiang.Discussion on adjustment of strong motion records by usingMatlab built-in functions[J].South China Journal ofSeismology,2009,29(2):88-94(in Chinese))
[18]Chopra A K.Dynamics of structures:theory andapplications to earthquake engineering[M].New Jersey:Prentice-Hall,2004
[19]GB 50011—2001建筑抗震设计规范[S].北京:中国建筑工业出版社,2001(GB 50011—2001 Code for seismicdesign of buildings[S].Beijing:China Architecture&Building Press,2001(in Chinese))
[20]苏经宇,韩淼,周锡元,等.橡胶支座基础隔震建筑地震作用实用计算方法[J].振动工程学报,1999,12(2):229-236(Su Jingyu,Han Miao,Zhou Xiyuan,et al.Thepractical calculating method of equivalent seismic action ofbase isolation building using rubber bearings[J].Journalof Vibration Engineering,1999,12(2):229-236(in Chinese))
[21]付伟庆,刘文光,王建,等.高层隔震结构的等效简化模型研究[J].地震工程与工程振动,2005,25(6):141-145(Fu Weiqing,Liu Wenguang,Wang Jian,et al.Research on equivalent simplified model of hing-riseisolated structure[J].Earthquake Engineering andEngineering Vibration,2005,25(6):141-145(in Chinese))
[22]刘文光,闫维明,霍达,等.塔型隔震结构多质点体系计算模型及振动台试验研究[J].土木工程学报,20033,6(5):64-70(Liu Wenguang,Yan Weiming,Huo Da,et al.Computation model and shaking table test for isolatedMDOF tower structure[J].China Civil EngineeringJournal,20033,6(5):64-70(in Chinese))
[23]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,2006,23(8):138-143(WangHuanding,Fu Weiqing,Liu Wenguang,et al.Researchon equivalent simplified model of regular shock-insulationbuilding[J].Engineering Mechanics,2006,23(8):138-143(in Chinese))
[24]李中锡,周锡元.规则型隔震房屋的自振特性和地震反应分析方法[J].地震工程与工程振动,2002,22(2):33-41(Li Zhongxi,Zhou Xiyuan.Simplified analysismethod of seismically isolated regular building[J].Earthquake Engineering and Engineering Vibration,2002,22(2):33-41(in Chinese))
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