求解反应谱的小波方法及汶川地震反应谱分析
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摘要
采用四阶基数B-样条小波模拟地震动加速度时程,进而建立一种求地震反应的通用方法,解的误差仅来自于对地震动加速度时程的模拟。并用小波分解,将地震波分解为不同周期成分之和,以各分量最大加速度值的大小来衡量其在原波中的比重,可以清楚看到距震中不同远近地震波的性态,并做定量分析和观察各分量卓越周期的变化。求地震波及各分量的反应谱,从各分量的标准加速度反应谱中,可以看到地震波不同周期分量对体系固有周期的影响,这是以往做不到的。将上述方法应用于汶川8.0级地震加速度记录,研究不同地震记录的性态。
4th order cardinal B-spline wavelets are applied to the simulation of acceleration histories of earthquake ground motion,and an universal method is established for computing the dynamic response of structures,the precision of which is lied on the simulation of the acceleration histories only.Wavelet transform is utilized to decompose an earthquake acceleration record into several wavelet components,and the natural periods of which are different from each other.Each component's proportion of the original acceleration record is measured by it's peak value.The relations between the properties of the seismic ground motion and the epicentral distance can be clearly obtain.And the relations between the variaties of each wavelets' natural period and the epicentral distance can be analyzed too.Besides,by analyzing the acceleration response spectra of ground motion and wavelets,the effects of each wavelet to the natural period of the ground motion can also be inferred,which cannot be done before.At last,this method is utilized to analyze the acceleration record of the M8.0 Wenchuan earthquake,and the method is also adopted to the research of different earthquake records' nature.
4th order cardinal B-spline wavelets are applied to the simulation of acceleration histories of earthquake ground motion,and an universal method is established for computing the dynamic response of structures,the precision of which is lied on the simulation of the acceleration histories only.Wavelet transform is utilized to decompose an earthquake acceleration record into several wavelet components,and the natural periods of which are different from each other.Each component's proportion of the original acceleration record is measured by it's peak value.The relations between the properties of the seismic ground motion and the epicentral distance can be clearly obtain.And the relations between the variaties of each wavelets' natural period and the epicentral distance can be analyzed too.Besides,by analyzing the acceleration response spectra of ground motion and wavelets,the effects of each wavelet to the natural period of the ground motion can also be inferred,which cannot be done before.At last,this method is utilized to analyze the acceleration record of the M8.0 Wenchuan earthquake,and the method is also adopted to the research of different earthquake records' nature.
引文
[1]谢异同,张同亿,吴敏哲.地震动加速度过程的小波模拟[J].地震工程与工程振动,2001,21(2):19-23.Xie Yitong,Zhang Tongyi,Wu Minzhe.Wavelets simulation for earthquake ground motion acceleration[J].Journal of Earthquake Engineering andEngineering Vibration,2001,21(2):19-23.
[2]谢异同.小波分析方法在地震工程中的应用研究[D].西安:西安建筑科技大学,2002.Xie Yitong.Studay on the application of wavelet application in earthquake engineering[D].Xi’an:Xi’an University of Architecture&Technolo-gy,2002.
[3]Chopra A K.Dynamics of Structures-Theory and Applications to Earthquake Engineering[M].Beijing:Higher Education Press,2005.
[4]谢异同,张同亿,吴敏哲.地震动加速度过程的四阶样条小波模拟[J].世界地震工程,2001,17(2):18-21.Xie Yitong,Zhang Tongyi,Wu Minzhe.Fourth-order cardinalB-spline wavelets for the simulation of earthquake ground motion acceleration[J].World Earthquake Engineering,2001,17(2):18-21.
[2]谢异同.小波分析方法在地震工程中的应用研究[D].西安:西安建筑科技大学,2002.Xie Yitong.Studay on the application of wavelet application in earthquake engineering[D].Xi’an:Xi’an University of Architecture&Technolo-gy,2002.
[3]Chopra A K.Dynamics of Structures-Theory and Applications to Earthquake Engineering[M].Beijing:Higher Education Press,2005.
[4]谢异同,张同亿,吴敏哲.地震动加速度过程的四阶样条小波模拟[J].世界地震工程,2001,17(2):18-21.Xie Yitong,Zhang Tongyi,Wu Minzhe.Fourth-order cardinalB-spline wavelets for the simulation of earthquake ground motion acceleration[J].World Earthquake Engineering,2001,17(2):18-21.
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