归一化时-频反应谱与结构损伤曲线的应用
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摘要
为了研究归一化时-频反应谱和结构损伤曲线在抗震设计中的应用价值,对某十层RC框架结构采用地震动特性截然不同的唐山地震天津波SN方向和集集地震波SN方向进行弹塑性时程分析,对比了2种工况下结构损伤曲线在地震波归一化时-频反应谱上的表现.结果表明,结构的最大地震反应并不一定造成结构最大破坏,而随后很小的反应也可能最终导致结构倒塌,选用不合理的地震记录进行抗震设计是不可靠的,故传统的反应谱理论存在一定的局限性.结构损伤曲线通过自振周期的变化可以反映结构的塑性发展,与同时具备地震动三要素(振幅、频谱和持时特性)的归一化时-频反应谱相结合,可有效预测结构的损伤机制,从而为大震下结构的抗倒塌设计提供参考依据.
In order to investigate the application of normalized time-frequency response spectrum and structural damage curve,a 10-storey reinforced concrete frame structure subjected to Tianjin record(SN direction) in Tangshan earthquake and ChiChi record(SN direction) whose seismic characteristics are completely different is studied by using elastoplastic time-history analysis.The performances of structural damage curves of the two cases on normalized time-frequency response spectrums are compared.The results show that the maximum seismic response of structures may not always result in the maximum damage,but the subsequent small seismic response may lead to the overall collapse of structures.Aseismatic design with unreasonable seismic record is not reliable.Therefore,there are some limitations in traditional response spectrum theory.Structural damage curve,which can reflect plastic development of structures through variations of structural natural vibration periods,together with normalized time-frequency response spectrum which contains the three features of earthquake motions(amplitude,frequency and duration) can effectively predict structural damage mechanism,which provides reference basis for aseismatic design of structures subjected to severe earthquake.
In order to investigate the application of normalized time-frequency response spectrum and structural damage curve,a 10-storey reinforced concrete frame structure subjected to Tianjin record(SN direction) in Tangshan earthquake and ChiChi record(SN direction) whose seismic characteristics are completely different is studied by using elastoplastic time-history analysis.The performances of structural damage curves of the two cases on normalized time-frequency response spectrums are compared.The results show that the maximum seismic response of structures may not always result in the maximum damage,but the subsequent small seismic response may lead to the overall collapse of structures.Aseismatic design with unreasonable seismic record is not reliable.Therefore,there are some limitations in traditional response spectrum theory.Structural damage curve,which can reflect plastic development of structures through variations of structural natural vibration periods,together with normalized time-frequency response spectrum which contains the three features of earthquake motions(amplitude,frequency and duration) can effectively predict structural damage mechanism,which provides reference basis for aseismatic design of structures subjected to severe earthquake.
引文
[1]胡聿贤.地震工程学[M].北京:地震出版社,2006.
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[3]Shen Z Y,Wu A H.Seismic analysis of steel structuresconsidering damage cumulation[J].Frontiers of Architectureand Civil Engineering in China,2007,1(1):1-11.
[4]杜修力,刘勇生.强震持时对钢筋混凝土结构地震累积破坏的影响[J].地震工程与工程振动,1992,12(3):65-70.Du Xiuli,Liu Yongsheng.Influence of strong motion du-ration on accumulated seismic damage of RC structures[J].Earthquake Engineering and Engineering Vibration,1992,12(3):65-70.(in Chinese)
[5]宋雅桐,朱继澄.地震动持续时间对多层结构反应的影响[J].地震工程与工程振动,1983,3(4):50-59.Song Yatong,Zhu Jicheng.Effects of ground motion du-ration on earthquake response of multistory structures[J].Earthquake Engineering and Engineering Vibration,1983,3(4):50-59.(in Chinese)
[6]罗奇峰,张晓哲.强震地面运动的时-频反应谱的分析方法[C]//中国地震学会第九次学术大会.北京,2002:104-105.
[7]Luo Q F,Li S D.Time-frequency response spectrum a-nalysis of seismic wave[C]//Proceedings of the 13thWorld Conference on Earthquake Engineering.Vancou-ver,Canada,2004:1479-1481.
[8]李仕栋.地震波时频反应谱分析方法的初步研究[D].上海:同济大学土木工程学院,2004.
[9]罗奇峰,邱志刚.几条典型地震波的归一化时-频反应谱分析[J].地球物理学报,2013,待发表.Luo Qifeng,Qiu Zhigang.Normalized time-frequency re-sponse spectrum analysis of several seismic waves[J].Chinese Journal of Geophysics,2013,to appear.(in Chi-nese)
[10]中华人民共和国住房和城乡建设部.GB50011—2010建筑抗震设计规范[S].北京:中国建筑工业出版社,2010.
[2]Bommer J J,Magenes G,Hancock J,et al.The influ-ence of strong-motion duration on the seismic response ofmasonry structures[J].Bulletin of Earthquake Engineer-ing,2004,2(1):1-26.
[3]Shen Z Y,Wu A H.Seismic analysis of steel structuresconsidering damage cumulation[J].Frontiers of Architectureand Civil Engineering in China,2007,1(1):1-11.
[4]杜修力,刘勇生.强震持时对钢筋混凝土结构地震累积破坏的影响[J].地震工程与工程振动,1992,12(3):65-70.Du Xiuli,Liu Yongsheng.Influence of strong motion du-ration on accumulated seismic damage of RC structures[J].Earthquake Engineering and Engineering Vibration,1992,12(3):65-70.(in Chinese)
[5]宋雅桐,朱继澄.地震动持续时间对多层结构反应的影响[J].地震工程与工程振动,1983,3(4):50-59.Song Yatong,Zhu Jicheng.Effects of ground motion du-ration on earthquake response of multistory structures[J].Earthquake Engineering and Engineering Vibration,1983,3(4):50-59.(in Chinese)
[6]罗奇峰,张晓哲.强震地面运动的时-频反应谱的分析方法[C]//中国地震学会第九次学术大会.北京,2002:104-105.
[7]Luo Q F,Li S D.Time-frequency response spectrum a-nalysis of seismic wave[C]//Proceedings of the 13thWorld Conference on Earthquake Engineering.Vancou-ver,Canada,2004:1479-1481.
[8]李仕栋.地震波时频反应谱分析方法的初步研究[D].上海:同济大学土木工程学院,2004.
[9]罗奇峰,邱志刚.几条典型地震波的归一化时-频反应谱分析[J].地球物理学报,2013,待发表.Luo Qifeng,Qiu Zhigang.Normalized time-frequency re-sponse spectrum analysis of several seismic waves[J].Chinese Journal of Geophysics,2013,to appear.(in Chi-nese)
[10]中华人民共和国住房和城乡建设部.GB50011—2010建筑抗震设计规范[S].北京:中国建筑工业出版社,2010.
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