考虑时频非平稳以及局部场地因素的多点地震动仿真方法研究
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摘要
给出一种基于已知地震记录的多点地震记录仿真方法,该方法利用基于已知地震记录建立时变相位模型,并利用Taylor级数展开式以及Wiener-Khintchine变化推导出空间位置处时变(互)谱函数矩阵,并利用谱再现技术实现地震记录的反演,给出的模型可以考虑地震动的具有空间变化特性的时频非平稳特性以及局部场地因素。
A method has been developed for simulation of stationary,space-time random fields. A method is base on Wiener-Khintchine transform and Taylor series expansion of to get the time variant cross-spectrum,An expression has been given for such cross-correlation in terms of the imaginary part of the complex cross-spectrum. This model can possess Non-stationary properties of original ground motion and site effect.
A method has been developed for simulation of stationary,space-time random fields. A method is base on Wiener-Khintchine transform and Taylor series expansion of to get the time variant cross-spectrum,An expression has been given for such cross-correlation in terms of the imaginary part of the complex cross-spectrum. This model can possess Non-stationary properties of original ground motion and site effect.
引文
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[3]Hao H,Oliveira CS,and Penzien,Multiple-station ground motion processing and simulation based on SMART-1 array data[J].Nucl.Eng.Des.1989,111,293-310.
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[5]Safak E.Discrete-time analysis of seismic site amplification.J.Eng.Mech.,ASCE 1995;121(7):801-9.
[6]Zembaty,Z.,Rutenberg,A.Spatial reponse spectra and site amplificationeffects.Engineering Structures,2002,24(11):1485-1496.
[7]李英民,吴哲骞,陈辉国.地震动的空间变化特性分析与修正相干模型[J].振动与冲击,2013,32(2):164-170.Li Yingmin,Wu Zheqian,Chen Huiguo.Analysis and modeling for characteristics of spatially varying ground motion.Journal of Vibration and Shock.32(2):164-170.2013.(in Chinese)
[8]Li Yingmin,Wu Zheqian,Chen Huiguo.A grid-based method to represent the covariance structure for earthquake ground motion.Mathematical Problems in Engineering.2012(2012):1-13.207.
[9]Hasgür Z.Nonstationary frequency effect of the ground motion upon the strength levels of theshear type RC structures[J].Soil Dynamics and Earthquake Engineering,2007,27(7):675-689.
[10]Conte J P,Pister K S,Mahin S A.Influence of the earthquake ground motion process and structural properties on response characteristics of simple structures,UCB/EERC-90/09[R].Earthquake Engineering Research Center,University of California,Berkeley,CA,1990.
[11]Papadimitriou K.Stochastic characterization of strong ground motion and applications to structural response,EERL-90-03[R].Earthquake Engineering Research Laboratory,California Institute of Technology,Pasadena,CA,1990.
[12]Wang J J,Fan L C,Qian S,et al.Simulations of non-stationary frequency content and its importance to seismic assessment of structures[J].Earthquake Engng.Struct.Dyn.,2002,31:993-1005.
[2]Ohsaki Y.On the signicance of the phase content in earthquake ground motions[J].Earthquake Engineering and Structural Dynamics 1979;7:427-39.
[3]Hao H,Oliveira CS,and Penzien,Multiple-station ground motion processing and simulation based on SMART-1 array data[J].Nucl.Eng.Des.1989,111,293-310.
[4]董银峰,非平稳信号处理方法的改进及在地震工程中的应用研究(博士学位论文)[D],重庆:重庆大学,2010.DONG Yinfeng.Improvements on non-stationary signal processing methods and their applications in earthquake engineering[D].Chongqing:Chongqing University,2010.(in Chinese)
[5]Safak E.Discrete-time analysis of seismic site amplification.J.Eng.Mech.,ASCE 1995;121(7):801-9.
[6]Zembaty,Z.,Rutenberg,A.Spatial reponse spectra and site amplificationeffects.Engineering Structures,2002,24(11):1485-1496.
[7]李英民,吴哲骞,陈辉国.地震动的空间变化特性分析与修正相干模型[J].振动与冲击,2013,32(2):164-170.Li Yingmin,Wu Zheqian,Chen Huiguo.Analysis and modeling for characteristics of spatially varying ground motion.Journal of Vibration and Shock.32(2):164-170.2013.(in Chinese)
[8]Li Yingmin,Wu Zheqian,Chen Huiguo.A grid-based method to represent the covariance structure for earthquake ground motion.Mathematical Problems in Engineering.2012(2012):1-13.207.
[9]Hasgür Z.Nonstationary frequency effect of the ground motion upon the strength levels of theshear type RC structures[J].Soil Dynamics and Earthquake Engineering,2007,27(7):675-689.
[10]Conte J P,Pister K S,Mahin S A.Influence of the earthquake ground motion process and structural properties on response characteristics of simple structures,UCB/EERC-90/09[R].Earthquake Engineering Research Center,University of California,Berkeley,CA,1990.
[11]Papadimitriou K.Stochastic characterization of strong ground motion and applications to structural response,EERL-90-03[R].Earthquake Engineering Research Laboratory,California Institute of Technology,Pasadena,CA,1990.
[12]Wang J J,Fan L C,Qian S,et al.Simulations of non-stationary frequency content and its importance to seismic assessment of structures[J].Earthquake Engng.Struct.Dyn.,2002,31:993-1005.
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