强震地面运动的频域物理模型研究
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摘要
基于Fourier变换的时频域信息等价性,在频域内建立了强震地面运动的物理模型.地震动的频域物理模型分为2个部分,即基于理论物理关系的Fourier幅值谱模型和基于经验物理关系的Fourier相位谱模型.以单质点体系运动方程为基础的Fourier幅值谱模型反映了强震记录的幅值特性;以相位差分布为基础的Fourier相位谱模型以确定性的显式形式建立了相角与频率的映射关系,能较好地反映原始记录的波形结构.合成的人工波与实际强震记录对比,证明了模型的正确性.
Fourier transform can shift a signal in time domain to the counterpart in frequence domain,and a physical model for strong ground motion in frequence domain is established.The new model contains two parts: one is the model for the Fourier Amplitude Spectrum,which is obtained on the basis of physical theorem;the other is the model for Fourier Phase Spectrum,which is obtained on the basis of empirical theorem.The Fourier Amplitude Spectrum Model(FASM) based on motion equation of single degree freedom system reflects most characters of amplitude spectrum of recorded accelerogram.The Fourier Phase Spectrum Model(FPSM) is built on the similarity between envelop of the recorded time history and its phase difference distribution.Function between phase and frequence is simplified in an explicit way.The synthesized accelerogram obtained from the phase spectrum model is similar to the recorded one.The model is justified by the recorded accelerograms.
Fourier transform can shift a signal in time domain to the counterpart in frequence domain,and a physical model for strong ground motion in frequence domain is established.The new model contains two parts: one is the model for the Fourier Amplitude Spectrum,which is obtained on the basis of physical theorem;the other is the model for Fourier Phase Spectrum,which is obtained on the basis of empirical theorem.The Fourier Amplitude Spectrum Model(FASM) based on motion equation of single degree freedom system reflects most characters of amplitude spectrum of recorded accelerogram.The Fourier Phase Spectrum Model(FPSM) is built on the similarity between envelop of the recorded time history and its phase difference distribution.Function between phase and frequence is simplified in an explicit way.The synthesized accelerogram obtained from the phase spectrum model is similar to the recorded one.The model is justified by the recorded accelerograms.
引文
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[14]朱昱,冯启民.地震加速度相位差谱的分布的数字特征[J].地震工程与工程振动,1993,13(2):30.ZHU Yu,FENG Qimin.Digital characteristics of phase differencespectrum distribution of earthquake accelerogram[J].EarthquakeEngineering and Structural Dynamics,1993,13(2):30.
[15]Hj rtur Thriánsson,Kiremidjian Anne S.Simulation of digitalearthquake accelerograms using the inverse discrete Fourier trans-form[J].Earthquake Engineering and Structural Dynamics,2002,31:2023.
[16]Montaldo V,Kiremidjian A S,Thriánsson H,et al.Simulation ofthe Fourier phase spectrum for the generation of syntheticaccelerograms[J].Journal of Earthquake Engineering,2003,7(3):427.
[17]Alfredo H-S Ang,Wilson H Tang.工程规划与设计中的概率概念[M].孙芳垂,陈星焘,胡世平,译.北京:冶金工业出版社,1985.Alfredo H-S Ang,Wilson H Tang.Probability concepts inengineering planning and design[M].Translated by SUNFangchui,CHEN Xingtao,HU Shiping.Beijing:Metallurgical In-dustry Press,1985.
[2]Youngs R R,Power M S,Chin C C.Design ground motionlibrary[C/CD]∥Proceedings of the 8th U.S.National Confer-ence on Earthquake Engineering.San Francisco:EarthquakeEngineering Research Institute,2006.
[3]Watson-Lamprey J A,Abrahamson N A.Bias caused by use ofspectrum compatible motions[C/CD]∥Proceedings of the 8thU.S.National Conference on Earthquake Engineering.San Fran-cisco:Earthquake Engineering Research Institute,2006.
[4]Paolo Bazzurro,Nicolas Luco.Do scaled and spectrum-matchednear-source records produce biased nonlinear structural responses?[C/CD]∥Proceedings of the 8th U.S.National Conference onEarthquake Engineering.San Francisco:Earthquake EngineeringResearch Institute,2006.
[5]安自辉.结构在罕遇地震下的强震记录选择[D].西安:西安建筑科技大学,2004.AN Zihui.Strong ground motion selected for structural analysisunder seldom occurred earthquake[D].Xi’an:Xi’an Universityof Architecture and Technology,2004.
[6]宋雅桐.人造地震波的研究[J].南京工学院学报,1980(2):80.SONG Yatong.Research on artificially generated earthquakerecords[J].Journal of Southeast University,1980(2):80.
[7]Lin Y K,Yong Y.Evolutionary Kanai-Tajimi earthquake model[J].Journal of Engineering Mechanics,1987,113(8):1119.
[8]胡聿贤,何训.考虑相位谱的人造地震动反应谱拟合[J].地震工程与工程振动,1986,6(2):37.HU Yuxian,HE Xun.Phase angle consideration in generating re-sponse spectrum-compatible ground motion[J].Earthquake Engi-neering and Engineering Vibration,1986,6(2):37.
[9]李杰,艾晓秋.基于物理的随机地震动模型研究[J].地震工程与工程振动,2006,26(5):21.LI Jie,AI Xiaoqiu.Study on random model of earthquake groundmotion based on physical process[J].Earthquake Engineering andEngineering Vibration,2006,26(5):21.
[10]布赖姆E O.快速富里叶变换[M].柳群,译.上海:上海科学技术出版社,1979.Brigham E O.The fast Fourier transform[M].Translated byLIU Qun.Shanghai:Shanghai Science and Technology Press,1979.
[11]Ohsaki Y.On the significance of phase content in earthquakeground motions[J].Earthquake Engineering and StructuralDynamics,1979,7:427.
[12]Tetsuo Kubo.The importance of phase properties in the genera-tion of synthetic strong earthquake motions[J].Res Mechanica,1990,31(1):77.
[13]朱昱,冯启民.相位差谱的分布特征和人造地震动[J].地震工程与工程振动,1992,12(1):37.ZHU Yu,FENG Qimin.Distribution characteristic of phasedifference spectrum and artificial accelerogram[J].EarthquakeEngineering and Structural Dynamics,1992,12(1):37.
[14]朱昱,冯启民.地震加速度相位差谱的分布的数字特征[J].地震工程与工程振动,1993,13(2):30.ZHU Yu,FENG Qimin.Digital characteristics of phase differencespectrum distribution of earthquake accelerogram[J].EarthquakeEngineering and Structural Dynamics,1993,13(2):30.
[15]Hj rtur Thriánsson,Kiremidjian Anne S.Simulation of digitalearthquake accelerograms using the inverse discrete Fourier trans-form[J].Earthquake Engineering and Structural Dynamics,2002,31:2023.
[16]Montaldo V,Kiremidjian A S,Thriánsson H,et al.Simulation ofthe Fourier phase spectrum for the generation of syntheticaccelerograms[J].Journal of Earthquake Engineering,2003,7(3):427.
[17]Alfredo H-S Ang,Wilson H Tang.工程规划与设计中的概率概念[M].孙芳垂,陈星焘,胡世平,译.北京:冶金工业出版社,1985.Alfredo H-S Ang,Wilson H Tang.Probability concepts inengineering planning and design[M].Translated by SUNFangchui,CHEN Xingtao,HU Shiping.Beijing:Metallurgical In-dustry Press,1985.
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