满足时-频统计特性的地震动时程调整
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摘要
首先对美国NGA数据库中的3551组地震记录按场地、震级、震中距进行了分组.采用一维连续小波变换得到每条记录的小波功率谱,给出任意时间处小波功率谱最大值所对应的主频率随时间变化的曲线,并对相同分组内的主频率取给定时间窗的均方根值,通过非线性最小二乘法拟合得到不同分组下便于工程应用的主频率时变曲线.此外,本文给出了不同分组下的强度包线,改进了现有的小波包变换,以主频率时变曲线和强度包线为目标,提出了对地震动主频和幅值进行调整的方法.算例分析表明,本文给出的调整方法能够模拟真实地震动频率和强度的非平稳特性.
In this paper,3551 sets of earthquake records from the NGA database were grouped according to the site condition,the magnitude and the epicentral distance.Wavelet spectrum of each record is calculated by using one dimension continuous wavelet transform.The timedependent predominant frequencies corresponding to the maximum values of wavelet spectrum at every time were considered,and the root mean square(RMS) of the predominant frequencies within a short time window in every group of ground motion was computed.Furthermore,timevarying curves of predominant frequencies for engineering applications were obtained by fitting RMS values of frequency based on nonlinear least square method,in addition,amplitude envelope in every group of ground motion were also presented.Based on the wavelet packet transform improved,an approach adjusting predominant frequency and amplitude of ground motion time histories that according to time-varying curve of predominant frequency and amplitude envelope was proposed.Finally,an illustrate example showed that the adjusted record possess the same nonstationarity of frequency and amplitude as actual earthquake record.
In this paper,3551 sets of earthquake records from the NGA database were grouped according to the site condition,the magnitude and the epicentral distance.Wavelet spectrum of each record is calculated by using one dimension continuous wavelet transform.The timedependent predominant frequencies corresponding to the maximum values of wavelet spectrum at every time were considered,and the root mean square(RMS) of the predominant frequencies within a short time window in every group of ground motion was computed.Furthermore,timevarying curves of predominant frequencies for engineering applications were obtained by fitting RMS values of frequency based on nonlinear least square method,in addition,amplitude envelope in every group of ground motion were also presented.Based on the wavelet packet transform improved,an approach adjusting predominant frequency and amplitude of ground motion time histories that according to time-varying curve of predominant frequency and amplitude envelope was proposed.Finally,an illustrate example showed that the adjusted record possess the same nonstationarity of frequency and amplitude as actual earthquake record.
引文
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[2]曹晖,林学鹏.地震动非平稳特性对结构非线性响应影响的分析[J].工程力学,2006,23(12):30-35Cao Hui,Lin Xuepeng.The effect on nonstationary characteristic of earthquake ground motion on the structural nonlinear responses[J].Engineering Mechanics,2006,23(12):30-35
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[7]文建波,周进雄,张陵.设计地震波的小波包多尺度调整[J].振动工程学报,2004,17(3):341-343Wen Jianbo,Zhou Jinxiong,Zhang Ling.Multi-scale adjustment for design earthquake accelerogram by Wavelet Package[J].Journal of Vibration Engineering,2004,17(3):341-343
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[11]建筑抗震设计规范(GB50011-2001)[M].北京:中国建筑工业出版社,2001Code for seismic design of buildings(GB50011-2001)[M].Beijing:China Architecture and Building Press,2001
[12]Amin M,Ang A H.Nonstation stochastic model of earthquake motion[J].J.EM.ASCE,1968,2:559-583
[13]胡聿贤.地震安全性评价技术教程[M].北京:地震出版社,2003Hu Yuxian.Seismic safety evaluation technology course[M].Beijing:Earthquake Publishing House,2003
[14]杨福生.小波变换的工程分析与应用[M].北京:科学出版社,1999Yang Fusheng.Engineering analysis and application of wavelet transform[M].Beijing:Science Press,1999
[15]高丽霞,周锡元,董娣,等.加速度均方根地震动统计研究[J].防灾减灾工程学报,2006,26(3):251-256Gao Lixia,Zhou Xiyuan,Dong Di,et al.Study on statistical characteristic of ground of square root of mean squares[J].Journal of Disaster Prevention and Mitigation Engineering,2006,26(3):251-256
[16]王亚勇,刘小弟.建筑结构时程分析法输入地震波的研究[J].建筑结构学报,1991,12(2):51-60Wang Yayong,Liu Xiaodi.Study on the Input of Earthquake ground Motion for time-history analysis of Structures[J].Journal of Building Structures,1991,12(2):51-60
[17]包世华,方鄂华.高层建筑结构设计(第二版)[M].北京:清华大学出版社,1990Bao Shihua,Fang Ehua.Design of high-rise building(the second edition)[M].Beijing:Tsinghua University Press,1990
[18]杨溥,李英民,赖明.结构时程分析法输入地震波的选择控制指标[J].土木工程学报,2000,33(6):33-37Yang Pu,Li Yingmin,Lai Ming.A new method for selecting inputting waves for time-history analysis[J].China Civil Engineering Journal,2000,33(6):33-37
[2]曹晖,林学鹏.地震动非平稳特性对结构非线性响应影响的分析[J].工程力学,2006,23(12):30-35Cao Hui,Lin Xuepeng.The effect on nonstationary characteristic of earthquake ground motion on the structural nonlinear responses[J].Engineering Mechanics,2006,23(12):30-35
[3]Basu B,Gupta V K.Non-stationary seismic response of MDOF systems by wavelet transform[J].Earthquake Engineering&Structural Dynamics,1997,26(12):1243-1258
[4]Hadjian A H.Scaling of earthquake accelerograms—A Simplified Approach[J].Journal of the Structural Division,1972,98(2):547-551
[5]胡聿贤.地震工程学(第二版)[M].北京:地震出版社,2006Hu Yuxian.Earthquake engineering(the second edition)[M].Beijing:Earthquake Publishing House,2006
[6]谢异同,张同亿,吴敏哲.时程分析中设计地震动调整的小波分析方法[J].地震工程与工程振动,2002,22(3):27-31Xie Yitong,Zhang Tongyi,Wu Minzhe.An approach wavelet analysis in adjustment of design of earthquake ground motion in time-history analysis[J].Earthquake Engineering and Engineering Vibration,2002,22(3):27-31
[7]文建波,周进雄,张陵.设计地震波的小波包多尺度调整[J].振动工程学报,2004,17(3):341-343Wen Jianbo,Zhou Jinxiong,Zhang Ling.Multi-scale adjustment for design earthquake accelerogram by Wavelet Package[J].Journal of Vibration Engineering,2004,17(3):341-343
[8]杨建国.小波分析及其工程应用[M].北京:机械工业出版社,2005Yang Jianguo.Wavelet analysis and engineering application[M].Beijing:China Machine Press,2005
[9]Chiou B,Darragh R,Gregor N,et al.NGA project strong-motion database[J].Earthquake Spectra,2008,24(1):23-44
[10]Lv H S,Zhao F X.Site coefficients suitable to China site category[J].ACTA Seismologica Sinica,2007,20(1):71-79
[11]建筑抗震设计规范(GB50011-2001)[M].北京:中国建筑工业出版社,2001Code for seismic design of buildings(GB50011-2001)[M].Beijing:China Architecture and Building Press,2001
[12]Amin M,Ang A H.Nonstation stochastic model of earthquake motion[J].J.EM.ASCE,1968,2:559-583
[13]胡聿贤.地震安全性评价技术教程[M].北京:地震出版社,2003Hu Yuxian.Seismic safety evaluation technology course[M].Beijing:Earthquake Publishing House,2003
[14]杨福生.小波变换的工程分析与应用[M].北京:科学出版社,1999Yang Fusheng.Engineering analysis and application of wavelet transform[M].Beijing:Science Press,1999
[15]高丽霞,周锡元,董娣,等.加速度均方根地震动统计研究[J].防灾减灾工程学报,2006,26(3):251-256Gao Lixia,Zhou Xiyuan,Dong Di,et al.Study on statistical characteristic of ground of square root of mean squares[J].Journal of Disaster Prevention and Mitigation Engineering,2006,26(3):251-256
[16]王亚勇,刘小弟.建筑结构时程分析法输入地震波的研究[J].建筑结构学报,1991,12(2):51-60Wang Yayong,Liu Xiaodi.Study on the Input of Earthquake ground Motion for time-history analysis of Structures[J].Journal of Building Structures,1991,12(2):51-60
[17]包世华,方鄂华.高层建筑结构设计(第二版)[M].北京:清华大学出版社,1990Bao Shihua,Fang Ehua.Design of high-rise building(the second edition)[M].Beijing:Tsinghua University Press,1990
[18]杨溥,李英民,赖明.结构时程分析法输入地震波的选择控制指标[J].土木工程学报,2000,33(6):33-37Yang Pu,Li Yingmin,Lai Ming.A new method for selecting inputting waves for time-history analysis[J].China Civil Engineering Journal,2000,33(6):33-37
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