时变功率谱模型参数衰减规律研究
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摘要
基于美国西部基岩强震加速度记录资料,采用多重滤波技术计算水平向和竖向地震加速度记录时程的时变功率谱值,并利用非线性最小二乘法拟合了对应于各条加速度记录时程的时变功率谱模型参数值。采用经验统计方法,分析了水平向和竖向加速度时变功率谱模型参数随震级、震中距及频率的变化规律,建立其衰减模型,并由多随机变量一致加权最小二乘法拟合得到了各衰减模型的系数值。通过与现有时变功率谱衰减规律的对比分析,证明了本文提出的衰减模型的合理性。
Based on the rock surface strong motion dataset in west America and Kameda's multifilter technique,the evolutionary power spectra of horizontal and vertical ground motion are calculated.The evolutionary power spectra parameters of every ground motion are achieved by the nonlinear least square method.The attenuation laws of the evolutionary power spectra parameters with earthquake magnitude,hypocentral distance and frequency are analyzed by experiential statistical method,and the attenuation models of the evolutionary power spectra parameters are developed.The coefficients of the attenuation models are also achieved by consistent weighted least square method for multi-random-variables.The rationality of these attenuation models are approved by compared with other's attenuation models.
Based on the rock surface strong motion dataset in west America and Kameda's multifilter technique,the evolutionary power spectra of horizontal and vertical ground motion are calculated.The evolutionary power spectra parameters of every ground motion are achieved by the nonlinear least square method.The attenuation laws of the evolutionary power spectra parameters with earthquake magnitude,hypocentral distance and frequency are analyzed by experiential statistical method,and the attenuation models of the evolutionary power spectra parameters are developed.The coefficients of the attenuation models are also achieved by consistent weighted least square method for multi-random-variables.The rationality of these attenuation models are approved by compared with other's attenuation models.
引文
大崎顺彦著.1980.地震动谱分析入门[M].吕敏申,谢礼立译.北京:地震出版社.
胡聿贤.1988.地震工程学[M].北京:地震出版社.
霍俊荣.1989.近场强地面运动衰减规律的研究[D].哈尔滨:国家地震局工程力学研究所.
杨杰英,李永强,刘丽芳,等.2007.地震主要因素对地震伤亡人数的影响分析[J].地震研究,30(2):182-187.
易立新,胡晓,钟菊芳.2004.基于EPA的重大工程设计地震动确定[J].地震研究,27(3):271-276.
俞言祥.2002.长周期地震动衰减关系研究[D].北京:中国地震局地球物理研究所.
钟菊芳.2006.重大工程场地震动输入参数研究[D].南京:河海大学.
Berrill J B,Hanks TC.1974.High frequency amplitude errors in digital-ized strong-motion accelerations[R].EERL,Paper Q.Report,Ⅳ:74104.
Goto H,Sugito M,Kameda H,et al.1984.Prediction of nonstationaryearthquake motions for moderate and Great earthquakes on rock sur-face[R].Kyoto University:Annuals disaster prevention researchinstitute,27(B-2):19-48.
Kameda H.1975.Evolutionary spectra of seismogram by multi-filter[J].Journal of Engineering Mechanism Division,ASCE,101:787-801.
Priestley M B.1965.Evolutionary spectra and nonstationary processes[J].Journal of Royal Statistical Society(B),27:204-237.
Priestley M B.1967.Power spectral analysis of non7stationary randomprocesses[J].Journal of Sound and Vibrations,6(1):86-97.
Sugito M,Furumoto Y,Sugiyama T.2000.Strong motion prediction rocksurface by superposed evolutionary spectra[C].in:Proceedingsof the12th World Conference on Earthquake Engineering.Auckland,Febbraio,New Zealand,2111/4/A.
胡聿贤.1988.地震工程学[M].北京:地震出版社.
霍俊荣.1989.近场强地面运动衰减规律的研究[D].哈尔滨:国家地震局工程力学研究所.
杨杰英,李永强,刘丽芳,等.2007.地震主要因素对地震伤亡人数的影响分析[J].地震研究,30(2):182-187.
易立新,胡晓,钟菊芳.2004.基于EPA的重大工程设计地震动确定[J].地震研究,27(3):271-276.
俞言祥.2002.长周期地震动衰减关系研究[D].北京:中国地震局地球物理研究所.
钟菊芳.2006.重大工程场地震动输入参数研究[D].南京:河海大学.
Berrill J B,Hanks TC.1974.High frequency amplitude errors in digital-ized strong-motion accelerations[R].EERL,Paper Q.Report,Ⅳ:74104.
Goto H,Sugito M,Kameda H,et al.1984.Prediction of nonstationaryearthquake motions for moderate and Great earthquakes on rock sur-face[R].Kyoto University:Annuals disaster prevention researchinstitute,27(B-2):19-48.
Kameda H.1975.Evolutionary spectra of seismogram by multi-filter[J].Journal of Engineering Mechanism Division,ASCE,101:787-801.
Priestley M B.1965.Evolutionary spectra and nonstationary processes[J].Journal of Royal Statistical Society(B),27:204-237.
Priestley M B.1967.Power spectral analysis of non7stationary randomprocesses[J].Journal of Sound and Vibrations,6(1):86-97.
Sugito M,Furumoto Y,Sugiyama T.2000.Strong motion prediction rocksurface by superposed evolutionary spectra[C].in:Proceedingsof the12th World Conference on Earthquake Engineering.Auckland,Febbraio,New Zealand,2111/4/A.
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