拟合D-V-A联合谱及峰值速度的地震动调整方法
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摘要
基于M allat算法,将地震动加速度时程采用2阶基数B-样条小波分解,以寻找对峰值速度及峰值加速度影响最大的小波分量,并在此基础上,通过改进调整地震动的时频小波分析法与时域叠加小波函数法,以实现对D-V-A联合谱、峰值加速度(PGA)及峰值速度(PGV)的拟合。算例结果表明,该方法具有很高的拟合精度。
By discomposed real recorded earthquake ground motion into a finite number of wavelet components which represent different frequency bands through Mallat algorithm,the wavelet component which affects mostly the peak ground motion velocity(PGV)and peak ground motion acceleration(PGA)can be identified.And by improving the Time-Frequency wavelet analysis method(TFWA)and Time domain synthesizing wavelet method(TDSW),a new adjusting method of ground motion was proposed to match the target D-V-A combined spectra and PGA,PGV simultaneously.The results of the numerical example show this algorithm has high calculation precision.
By discomposed real recorded earthquake ground motion into a finite number of wavelet components which represent different frequency bands through Mallat algorithm,the wavelet component which affects mostly the peak ground motion velocity(PGV)and peak ground motion acceleration(PGA)can be identified.And by improving the Time-Frequency wavelet analysis method(TFWA)and Time domain synthesizing wavelet method(TDSW),a new adjusting method of ground motion was proposed to match the target D-V-A combined spectra and PGA,PGV simultaneously.The results of the numerical example show this algorithm has high calculation precision.
引文
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[9]全伟,李宏男.基于小波变换的拟合规范反应谱的多维地震动模拟[J].地震工程与工程振动,2007,27(4):103-108.QUAN Wei,LI Hongnan.Generation of spectrum-compatible multi-dimensional artificial ground motions via wavelet transform[J].EarthquakeEngineering and Engineering Vibration,2007,27(4):103-108.
[10]白泉,朱浮声,边晶梅.基于平稳离散小波变换的地震动时程模拟[J].世界地震工程,2009,25(3):124-129.BAI Quan,ZHUFusheng,BIAN Jingmei.Simulation of earthquake ground motion based on discrete stationary wavelet transform[J].WorldEarthquake Engineering,2009,25(3):124-129.
[11]张翠然,陈厚群.工程地震动模拟研究综述[J].世界地震工程,2008,24(2):150-159.ZHANG Cuiran,CHENHouqun.Reviewand prospects on the Simulation research of engineering.earthquake ground motion based on discrete sta-tionary wavelet transform[J].World Earthquake Engineering,2008,24(2):150:157.
[12]Trifunac MD.Lowfrequency digitization errors and a newmethod for zero baseline correction of strong-motion Accelerograms[R].California Insti-tute of Technology,Report No.EERL70-07 September,1970.
[2]Housner G W.Vibration of structures induced by seismic waves,part 1[M]//Shock and vibration handbook,Vol.3,1961;Ch.50.
[3]赵凤新,张郁山.拟合峰值速度与目标反应谱的人造地震动[J].地震学报,2006,28(4):429-437.ZHAO Fengxin,ZHANG Yushan.Artificial ground motion compatible with specified peak velocity and target spectrum[J].Acta Seimologica Sini-ca,2006,28(4):429-437.
[4]Chopra A K.Dynamics of structures:theory and application to earthquake engineering(Second Edition)[M].NewJersey:Prentice Hall,2001.
[5]胡聿贤.地震工程学(第二版)[M].北京:地震出版社,2006.HUYuxian.Earthquake engineering[M].2nd edition.Beijing:Earthquake Press,2006.
[6]Lihanand K,Tseng,W S.Development and application of realistic earthquake time histories compatible with multi-damping design spectra[C]//Proceedings of the 9th World Conference on Earthquake Engineering,9WCEE Organizing Committee,Tokyo Japan,Ⅱ,819-824.
[7]Hancock J,Watson-Lamprey J,Abrahamson NA,et al,An improved method of matching response spectra of record earthquake ground motion u-sing wavelets[J].Journal of Earthquake Engineering,2006,10(1):67-89.
[8]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,2002,3(6):19-23.XIE Yitong,ZHANG Tongyi,WUMingzhe.An approach to wavelet analysis in adjustment of design of earthquake ground motion in time-historyanalysis[J].Earthquake Engineering and Engineering Vibration,2002,3(6):19-23.
[9]全伟,李宏男.基于小波变换的拟合规范反应谱的多维地震动模拟[J].地震工程与工程振动,2007,27(4):103-108.QUAN Wei,LI Hongnan.Generation of spectrum-compatible multi-dimensional artificial ground motions via wavelet transform[J].EarthquakeEngineering and Engineering Vibration,2007,27(4):103-108.
[10]白泉,朱浮声,边晶梅.基于平稳离散小波变换的地震动时程模拟[J].世界地震工程,2009,25(3):124-129.BAI Quan,ZHUFusheng,BIAN Jingmei.Simulation of earthquake ground motion based on discrete stationary wavelet transform[J].WorldEarthquake Engineering,2009,25(3):124-129.
[11]张翠然,陈厚群.工程地震动模拟研究综述[J].世界地震工程,2008,24(2):150-159.ZHANG Cuiran,CHENHouqun.Reviewand prospects on the Simulation research of engineering.earthquake ground motion based on discrete sta-tionary wavelet transform[J].World Earthquake Engineering,2008,24(2):150:157.
[12]Trifunac MD.Lowfrequency digitization errors and a newmethod for zero baseline correction of strong-motion Accelerograms[R].California Insti-tute of Technology,Report No.EERL70-07 September,1970.
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