基于地震动主轴特性的非平稳地震动场的模拟
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摘要
根据前人对地震动主轴的研究,近似定义了某一点的地震动主轴方向:第一、二主轴方向为该点至震中的径向和切向,第三主轴方向为竖直方向;通过分析集集地震记录在所定义主轴上的相关情况初步验证了主轴方向近似的合理性。在一维地震动合成公式的基础上,根据地震动主轴功率谱密度函数合成三维空间非平稳的地震动时程,回避了地震动各分量相干性难以确定的难题,并考虑了空间各点地震动自谱强度的变化,以便更好地适用于大尺度结构的多点输入分析。
Based on the study of principal axes of earthquakes,approximate direction of principal axes is proposed,whose rationality was verified by Chi-Chi earthquake. To simplify the calculation and analysis: the major and intermediate principal axes point in the direction along and perpendicular to the connection between the recording station and the epicenter; the minor principal axis is vertical. According to the power spectral density functions along principal axes,the simulation of spatially correlated earthquake ground motion of three-dimension are carried out on the basis of the simulation of one-dimensional earthquake to avoid considering the seismic spatial coherence that is hard to estimate. In addition,the variation of amplitude of white-noise bedrock acceleration is taken into consideration,which is suitable for the simulation of multi-point ground motions of large scale structures.
Based on the study of principal axes of earthquakes,approximate direction of principal axes is proposed,whose rationality was verified by Chi-Chi earthquake. To simplify the calculation and analysis: the major and intermediate principal axes point in the direction along and perpendicular to the connection between the recording station and the epicenter; the minor principal axis is vertical. According to the power spectral density functions along principal axes,the simulation of spatially correlated earthquake ground motion of three-dimension are carried out on the basis of the simulation of one-dimensional earthquake to avoid considering the seismic spatial coherence that is hard to estimate. In addition,the variation of amplitude of white-noise bedrock acceleration is taken into consideration,which is suitable for the simulation of multi-point ground motions of large scale structures.
引文
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[16]Hao H,Oliveira C S,Penzien J.Multiple-station ground motion processing and simulation based on SMART-1 array data[J].Nuclear Engineering and Design,1989,111(3):293-310.
[17]屈铁军,王前信.空间相关多点地震动合成(I):基于本公式[J].地震工程与工程振动,1998,18(1):8-15.QU Tiejun,WANG Qianxin.Simulation of spatially correlative time histories of multi-point ground motion,Part I:fundamental formulas[J].Earthquake Engineering and Engineering Vibration,1998,18(1):8-15.(in Chinese)
[18]董汝博,周晶,冯新.非平稳空间相关多点地震动合成方法研究[J].地震工程与工程振动,2007,27(3):10-14;DONG Rubo,ZHOU Jing,FENG Xin.Simulation of non-stationary correlative time histories of multi-point ground motion[J].Journal of Engineering and Engineering Vibration,2007,27(3):10-14.(in Chinese)
[19]Wu Yongxin,Gaoyufeng,et al.Simulation of spatially correlated earthquake ground motions for engineering purpose[J].Earthquake Engineering Vibration,2011,10(2):163-173.
[2]Yasemin B,Alemdar B,Kurtulus S.Stochastic dynamic response dam-reservoir-foundation systems to spatially varying earthquake ground motion[J].Soil Dynamics and Earthquake Engineering,2009,29(3):444-458.
[3]Zhang Y H,Li QS,et al.Random vibration analysis of long-span structures subjected to spatially varying ground motions[J].Soil Dynamics,2009,29(4):620-629.
[4]屈铁军,王君杰,王前信.空间变化的地震动功率谱的实用模型[J].地震学报,1996,18(1):55-62.QU Tiejun,WANG Junjie,WANG Qianxin.A practical model for the power spectrum of spatially varying ground motion[J].Acta Seismologica Sinica,1996,18(1):55-62.(in Chinese)
[5]Feng Q M,Hu Y X.Spatial correlation of earthquake motion and its effect structural response[C]∥Proceeding USPRC Bilateral Workshop on Earthquake Engineering,1982,1:A-5-1-A-5-14.
[6]钟菊芳,胡晓,屈铁军,等.同一测点不同地震动分量空间相干性分析[J].地震研究,2005,28(4):378-382.ZHONG Jufang,HU Xiao,QU Tiejun,et al.Spatial coherency analysis of different ground motion components[J].Journal of Seismological Research,2005,28(4):378-382.(in Chinese)
[7]Joseph Penzien,Makoto Watbe.Characteristics of 3-Dimensional earthquake ground motions[J].Earthquake Engineering and Structural Dynamics,1975,3:365-373.
[8]胡聿贤.地震工程学[M].北京:地震出版社,1988:175-176.HU Yuxian.Earthquake Engineering[M].Beijing:Seismological Press,1988,175-176.(in Chinese)
[9]Tetsuo Kubo,Joseph Penzien.Simulation of three-dimensional strong ground motions along principal axes[J].San Fernando Earthquake.Earthquake Engineering and Structural Dynamics,1979,7:279-294.
[10]柔洁,宋和平.新疆乌恰7.4级地震余震加速度记录主轴方向的研究[J].中国地震,1996,6(1):79-86.ROU Jie,SONG Heping.A study of principal axel of strong aftershock acceleration record of Wuqia Earthquake of Ms 7.4[J].Earthquake Research in China,1996,6(1):79-86.(in Chinese)
[11]Vietanh Phung,David Lau,Hong Hao.Principal axes of strong ground motion records of the 1999 Chi-Chi,Taiwan Earthquke[C]∥4thInternational Conference on Earthquake Engineering,2006,No.088.
[12]Pierfrancesco Caccioal,George Deodatis.A method for generating fully non-stationary and spectrum-compatible ground motion vector process[J].Soli Dynamics and Earthquake Engineering,2011,3:351-360.
[13]吴勇信,高玉峰.基于功率谱矩阵开方分解的空间相关多点地震动合成方法[J].工程力学,2012,29(4),29-35.WU Yongxin,GAO Yufeng.Simulation of spatial correlative ground motions based on the square root operation of power spectrum matrix[J].Engineering Mechanics,2012,29(4),29-35.(in Chinese)
[14]Hao H,Oliveria C S,Penzien J.Multiple-station ground motion processing and simulation based on SMART-1 array data[J].Nuclear Engineering and Design,1989,111(3):293-310.
[15]Luigi Carassale,Giovanni Solari.Monte Carlo simulation of wind velocity fields on complex structures[J].Journal of Wind Engineering and Industrial Aerodynamics.2006.94(5),323-339.
[16]Hao H,Oliveira C S,Penzien J.Multiple-station ground motion processing and simulation based on SMART-1 array data[J].Nuclear Engineering and Design,1989,111(3):293-310.
[17]屈铁军,王前信.空间相关多点地震动合成(I):基于本公式[J].地震工程与工程振动,1998,18(1):8-15.QU Tiejun,WANG Qianxin.Simulation of spatially correlative time histories of multi-point ground motion,Part I:fundamental formulas[J].Earthquake Engineering and Engineering Vibration,1998,18(1):8-15.(in Chinese)
[18]董汝博,周晶,冯新.非平稳空间相关多点地震动合成方法研究[J].地震工程与工程振动,2007,27(3):10-14;DONG Rubo,ZHOU Jing,FENG Xin.Simulation of non-stationary correlative time histories of multi-point ground motion[J].Journal of Engineering and Engineering Vibration,2007,27(3):10-14.(in Chinese)
[19]Wu Yongxin,Gaoyufeng,et al.Simulation of spatially correlated earthquake ground motions for engineering purpose[J].Earthquake Engineering Vibration,2011,10(2):163-173.
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