时变功率谱空间变化性分析
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摘要
基于我国台湾地区SMART-1密集台阵强震记录资料和Kameda的时变功率谱模型,利用多重滤波技术和非线性最小二乘法拟合得到每条记录的Kameda模型参数值;通过分析模型参数随频率变化的散点图分布规律,建立了时变功率谱模型参数随频率变化的随机模型。采用随机振动理论和多元统计分析方法,分析了沿波传播方向距离、垂直于波传播方向距离及测点所在位置土层厚度等局部空间位置变化对时变功率谱模型参数的影响规律,探讨了时变功率谱模型参数的空间分布形式,建立了各模型参数随空间坐标变化的随机预测模型,从而为重大工程多点输入地震动参数的确定和多点输入加速度时程的合成提供实用模型。
Based on the strong-motion datasets of SMART-1 array and Kameda's evolutionary power spectral model,the evolutionary power spectral of earthquake ground motions were calculated by using multi-filter technique.Each parameter of the Kameda's evolutionary power spectral model were fitted by nonlinear least squares fit.Stochastic model of each parameter varying with frequency were constructed by analyzing the distribution law of spot figures of parameters varying with frequency.The spatial variability stochastic prediction models were studied by analyzing the influence of the variation of planar coordinate and soil thickness.Results gained in this paper can be applied to non-stationary,multi-point ground motion simulation.
Based on the strong-motion datasets of SMART-1 array and Kameda's evolutionary power spectral model,the evolutionary power spectral of earthquake ground motions were calculated by using multi-filter technique.Each parameter of the Kameda's evolutionary power spectral model were fitted by nonlinear least squares fit.Stochastic model of each parameter varying with frequency were constructed by analyzing the distribution law of spot figures of parameters varying with frequency.The spatial variability stochastic prediction models were studied by analyzing the influence of the variation of planar coordinate and soil thickness.Results gained in this paper can be applied to non-stationary,multi-point ground motion simulation.
引文
陈厚群.1997.当前我国水工抗震中的主要问题和发展动态[J].振动工程学报,10(3):253-257.
陈厚群,侯顺载,张力飞,等.1995.拱坝多点输入动力反应的试验研究[J].水利学报,(8):12-20.
大崎顺彦.1980.地震动谱分析入门[M].吕敏申,谢礼力,译.北京:地震出版社.
冯启民,胡聿贤.1981.空间相关地面运动的数学模型[J].地震工程与工程振动,1(3):1-8.
胡进军.2003.地下地震动参数研究[D].哈尔滨:中国地震局工程力学研究所.
廖松涛.2001.工程场地地震动相干函数的数值分析[D].上海:同济大学.
屈铁军.1995.地面运动的空间变化特性研究及地下管线地震反应分析[D].哈尔滨:国家地震工程局力学研究所.
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.
钟菊芳.2006.重大工程场地地震动输入参数研究[D].南京:河海大学.
钟菊芳,胡晓.2009.时变功率谱模型参数衰减规律研究[J].地震研究,32(2):73-79.
朱勇华,邰淑彩,孙韫玉.1999.应用数理统计[M].武汉:武汉水利电力大学出版社.
B e rrill J B,Hanks TC.1974.High frequency amplitude errors in digital-ized strong-motion accelerations[J].EERL.Vol.Ⅳ.Paper Q.ReportNo.74-104.
B o gdanoff J L,Goldber J L,Shiff J C.1965.The effect of ground trans-mission time on the response of long structures[J].BSSA.55(3):627-640.
F e ng QM,Hu YX.1982.Spatial Correlation of earthquake motion and Its effect on structural response[A],Proceedings of US-PRC,BilateralWorkshop on Earthquake Engineering[C].1:A-5-1-A-5-14.
H a richandran R S,Wang W J.1986.Response of simple beam to spatiallyvarying earthquake excitation[J].Journal of the Engineering Me-chanics Division.American Society of Civil Engineering,114(9):1526-1540.
H a richandran R S,Wang W J.1990.Response of multi-span beams tospatially incoherent seismic ground motions[J].Earthquake Engi-neering and Structural Dynamics,19:819-832.
H a richandran R S,Hawwari A,Sweidan B N.1996.Response of long-span bridges to spatially varying ground motion[J].Journal of the Struc-tural Engineering,122(5):476-484.
H a o H.1991.Response of multiply supported rigid plate to spatially corre-lated seismic excitation[J].Earthquake Engineering and StructuralDynamics,20:821-838.
Ho usner G W.1957.Dynamic pressure on accelerated fluid containers[J].BSSA,47(1):15-35.
K a meda H.1975.Evolutionary spectra of seismogram by multi-filter[J].Journal of Engineering MechanismDivision,American Society of Civ-il Engineering,101:787-801.
陈厚群,侯顺载,张力飞,等.1995.拱坝多点输入动力反应的试验研究[J].水利学报,(8):12-20.
大崎顺彦.1980.地震动谱分析入门[M].吕敏申,谢礼力,译.北京:地震出版社.
冯启民,胡聿贤.1981.空间相关地面运动的数学模型[J].地震工程与工程振动,1(3):1-8.
胡进军.2003.地下地震动参数研究[D].哈尔滨:中国地震局工程力学研究所.
廖松涛.2001.工程场地地震动相干函数的数值分析[D].上海:同济大学.
屈铁军.1995.地面运动的空间变化特性研究及地下管线地震反应分析[D].哈尔滨:国家地震工程局力学研究所.
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.
钟菊芳.2006.重大工程场地地震动输入参数研究[D].南京:河海大学.
钟菊芳,胡晓.2009.时变功率谱模型参数衰减规律研究[J].地震研究,32(2):73-79.
朱勇华,邰淑彩,孙韫玉.1999.应用数理统计[M].武汉:武汉水利电力大学出版社.
B e rrill J B,Hanks TC.1974.High frequency amplitude errors in digital-ized strong-motion accelerations[J].EERL.Vol.Ⅳ.Paper Q.ReportNo.74-104.
B o gdanoff J L,Goldber J L,Shiff J C.1965.The effect of ground trans-mission time on the response of long structures[J].BSSA.55(3):627-640.
F e ng QM,Hu YX.1982.Spatial Correlation of earthquake motion and Its effect on structural response[A],Proceedings of US-PRC,BilateralWorkshop on Earthquake Engineering[C].1:A-5-1-A-5-14.
H a richandran R S,Wang W J.1986.Response of simple beam to spatiallyvarying earthquake excitation[J].Journal of the Engineering Me-chanics Division.American Society of Civil Engineering,114(9):1526-1540.
H a richandran R S,Wang W J.1990.Response of multi-span beams tospatially incoherent seismic ground motions[J].Earthquake Engi-neering and Structural Dynamics,19:819-832.
H a richandran R S,Hawwari A,Sweidan B N.1996.Response of long-span bridges to spatially varying ground motion[J].Journal of the Struc-tural Engineering,122(5):476-484.
H a o H.1991.Response of multiply supported rigid plate to spatially corre-lated seismic excitation[J].Earthquake Engineering and StructuralDynamics,20:821-838.
Ho usner G W.1957.Dynamic pressure on accelerated fluid containers[J].BSSA,47(1):15-35.
K a meda H.1975.Evolutionary spectra of seismogram by multi-filter[J].Journal of Engineering MechanismDivision,American Society of Civ-il Engineering,101:787-801.
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