拟合多维能量反应谱及峰值速度的地震动调整方法
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摘要
基于小波变换原理提出了一种以设计用多维能量反应谱及峰值速度为目标的实测地震动调整方法.该方法首先依据多维能量反应谱与伪加速度谱之间的近似转换关系,在时域内叠加小波函数实现对实测地震动记录的初步调整,保留原始地震动的强度、频率非平稳特性;再应用二阶基数B-样条小波函数模拟上述调整后的多维地震动场,通过循环调整拟合精度较低频段的小波系数和对峰值速度贡献最大的小波分量,实现对设计用能量反应谱及各向峰值速度的同时拟合.算例分析结果表明,该方法具有较高的拟合精度,对初始地震动的能量分布改变较小,为建筑结构基于能量平衡设计时的多维动力反应分析提供了一种新的地震波合成方法.
The paper presents a modification method for the recorded earthquake ground motions to match multi-dimensional design input energy spectra with wavelet.According to the approximate relationships between input energy spectra and pseudo acceleration response spectra,the recorded earthquake ground motions are modified to match the target response spectra preliminarily by synthesizing wavelets in time domain.In this process,the non-stationary intensity and frequency characteristics of real records have retained.Then the second cardinal B-spline wavelet is used to simulate the multi-dimensional accelerograms.By modifying the amplitudes of special wavelets of low fitting accuracy and the wavelets affecting peak values of velocity mostly,the target input energy spectra and peak ground values of velocity can be matched by iterations.The numerical example demonstrates this method is of high-fitting precision with few changes to the original energy distribution,which is a new artificial ground motions' generating method for dynamic analysis of structures designed by energy balance.
The paper presents a modification method for the recorded earthquake ground motions to match multi-dimensional design input energy spectra with wavelet.According to the approximate relationships between input energy spectra and pseudo acceleration response spectra,the recorded earthquake ground motions are modified to match the target response spectra preliminarily by synthesizing wavelets in time domain.In this process,the non-stationary intensity and frequency characteristics of real records have retained.Then the second cardinal B-spline wavelet is used to simulate the multi-dimensional accelerograms.By modifying the amplitudes of special wavelets of low fitting accuracy and the wavelets affecting peak values of velocity mostly,the target input energy spectra and peak ground values of velocity can be matched by iterations.The numerical example demonstrates this method is of high-fitting precision with few changes to the original energy distribution,which is a new artificial ground motions' generating method for dynamic analysis of structures designed by energy balance.
引文
[1]北村春幸.基于性能设计的建筑振动解析[M].裴星洙,廖红建,张立,译.西安:西安交通大学出版社,2004.Kitamura H.Seismic response analysis methods forperformance-based design[M].Translated by PEI Xingzhu,LIAO Hongjian,ZHANG Li.Xi’an:Xi’an Jiaotong UniversityPress,2004.
[2]日本建筑学会.隔震结构设计[M].刘文光,译.北京:地震出版社,2006.Architectural Institute of Japan.Recommendation for thedesign of base isolated buildings[M].Translated by LIUWenguang.Beijing:Seismological Press,2006.
[3]秋山宏.基于能量平衡的建筑结构抗震设计[M].叶列平,裴星洙,译.北京:清华大学出版社,2010.Akiyama H.Earthquake resistant design method for buildingsbased on energy balance[M].Translated by YE Lieping,PEIXingzhu.Beijing:Tsinghua University Press,2010.
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[5]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.ZHAO Fengxi,ZHANG Yushan.Artificial ground motioncompatible with specified peak velocity and target spectrum[J].Acta Seismological Sinica,2006,28(4):429.
[6]Hancock J,Watson-Lamprey J,Abrahamson N A,et al.Animproved method of matching response spectra of recordearthquake ground motion using wavelets[J].Journal ofEarthquake Engineering,2006,10(1):67.
[7]Iyama J,Kuwamura H.Application of wavelets to analysis andsimulation of earthquake motions[J].Earthquake Engineeringand Structural Dynamics,1999(28):255.
[8]Iyama J.Estimation of input energy for elasto-plastic SDOFsystems during earthquake based on discrete waveletcoefficients[J].Earthquake Engineering and StructuralDynamics,2005(34):1799.
[9]贺瑞,秦权.产生时程分析用的高质量地面运动时程的新方法[J].工程力学,2006,8(8):12.HE Rui,QING Quan.New methods for generating high qualityacceleration time histories[J].Engineering Mechanics,2006,8(8):12.
[10]Yazdani A.Wavelet-based generation of energy-and spectrum-compatible earthquake time histories[J].Computer-aided Civiland Infrastructure Engineering,2009(24):623.
[11]Benavent-Climent A,Pujades L G,Lopez-Almansa F,et al.Design energy input spectra for moderate-seismicity regions[J].Earthquake Engineering and Structural Dynamics,2002(31):1151.
[12]Benavent-Climent A,Lopez-Almansa F,Bravo-Gonzalez D A,et al.Design energy input spectra for moderate-to-highseismicity regions[J].Soil Dynamics and EarthquakeEngineering,2010(30):1129.
[13]Lihanand K,Tseng W S.Development and application ofrealistic earthquake time histories compatible with multi-damping design spectra[C]//Proceedings of the 9th WorldConference on Earthquake EngineeringⅡ.Tokyo:9th WCEEOrganizing Committee,1988:819-824.
[14]Chui C K.An introduction to wavelets[M].San Diego:PressSan Diego,1992.
[15]胡聿贤.地震工程学[M].北京:地震出版社,2006.HU Yuxian.Earthquake engineering[M].Beijing:Seismological Press,2006.
[2]日本建筑学会.隔震结构设计[M].刘文光,译.北京:地震出版社,2006.Architectural Institute of Japan.Recommendation for thedesign of base isolated buildings[M].Translated by LIUWenguang.Beijing:Seismological Press,2006.
[3]秋山宏.基于能量平衡的建筑结构抗震设计[M].叶列平,裴星洙,译.北京:清华大学出版社,2010.Akiyama H.Earthquake resistant design method for buildingsbased on energy balance[M].Translated by YE Lieping,PEIXingzhu.Beijing:Tsinghua University Press,2010.
[4]Takewaki I,Fujita K.Earthquake input energy to tall andbase-isolated buildings in time and frequency dual domains[J].The Structural Design of Tall and Special Buildings,2009(18):589.
[5]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.ZHAO Fengxi,ZHANG Yushan.Artificial ground motioncompatible with specified peak velocity and target spectrum[J].Acta Seismological Sinica,2006,28(4):429.
[6]Hancock J,Watson-Lamprey J,Abrahamson N A,et al.Animproved method of matching response spectra of recordearthquake ground motion using wavelets[J].Journal ofEarthquake Engineering,2006,10(1):67.
[7]Iyama J,Kuwamura H.Application of wavelets to analysis andsimulation of earthquake motions[J].Earthquake Engineeringand Structural Dynamics,1999(28):255.
[8]Iyama J.Estimation of input energy for elasto-plastic SDOFsystems during earthquake based on discrete waveletcoefficients[J].Earthquake Engineering and StructuralDynamics,2005(34):1799.
[9]贺瑞,秦权.产生时程分析用的高质量地面运动时程的新方法[J].工程力学,2006,8(8):12.HE Rui,QING Quan.New methods for generating high qualityacceleration time histories[J].Engineering Mechanics,2006,8(8):12.
[10]Yazdani A.Wavelet-based generation of energy-and spectrum-compatible earthquake time histories[J].Computer-aided Civiland Infrastructure Engineering,2009(24):623.
[11]Benavent-Climent A,Pujades L G,Lopez-Almansa F,et al.Design energy input spectra for moderate-seismicity regions[J].Earthquake Engineering and Structural Dynamics,2002(31):1151.
[12]Benavent-Climent A,Lopez-Almansa F,Bravo-Gonzalez D A,et al.Design energy input spectra for moderate-to-highseismicity regions[J].Soil Dynamics and EarthquakeEngineering,2010(30):1129.
[13]Lihanand K,Tseng W S.Development and application ofrealistic earthquake time histories compatible with multi-damping design spectra[C]//Proceedings of the 9th WorldConference on Earthquake EngineeringⅡ.Tokyo:9th WCEEOrganizing Committee,1988:819-824.
[14]Chui C K.An introduction to wavelets[M].San Diego:PressSan Diego,1992.
[15]胡聿贤.地震工程学[M].北京:地震出版社,2006.HU Yuxian.Earthquake engineering[M].Beijing:Seismological Press,2006.
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