已知地震记录的多点地震动仿真
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摘要
为寻求大跨度结构分析所需的合理地震动输入,给出了一种基于已知地震记录的多点地震动合成法,该方法使用AR模型估计谱函数,利用多元线性预测对未知输入点地震动进行预测,通过高斯随机抽样来反应地震动的随机因素,并采用分窗叠加的办法反应时变特性。通过比较合成地震动与该处真实地震记录说明了该合成方法具有准确性和合理性,可以为大跨度结构抗震计算提供参考。
A record based approach has been developed for the simulation of spatially correlated ground motion.This procedure uses autoregressive model to establish a power spectrum,and uses the multivariate linear prediction to simulate the parameter of unknown position.The random factor of earthquake is relected by Gaussian distribution random number,and the known records are subdivided into a sequence of time windows to account for its temporal variation.Compare of the simulated record and the true record show that this procedure is accurate and reasonable,and it is applicable for the design of discretely supported systems.
A record based approach has been developed for the simulation of spatially correlated ground motion.This procedure uses autoregressive model to establish a power spectrum,and uses the multivariate linear prediction to simulate the parameter of unknown position.The random factor of earthquake is relected by Gaussian distribution random number,and the known records are subdivided into a sequence of time windows to account for its temporal variation.Compare of the simulated record and the true record show that this procedure is accurate and reasonable,and it is applicable for the design of discretely supported systems.
引文
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[6]Kameda H,Morikawa H.An interpolating stochasticprocess for simulation of conditional random fields[J].Probabilistic Engineering Mechanics,1992,7(4):243-254.
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[10]Boore D M,Bommer J J.Processing of strong-motionaccelerograms:needs,options and consequences[J].Soil Dynamics and Earthquake Engineering,2005,25(2):93-115.
[11]Akkar S,Boore D M.On baseline corrections anduncertainty in response spectra for baseline variationscommonly encountered in digital accelerograph records[J].Bulletin of the Seismological Society of America,2009,99(3):1671-1690.
[12]Harichandran R S.Local spatial variation of earthquakeground motion[M]//Thun J L V.Earthquakeengineering and soil dynamics II:recent advances inground-motion evaluation.New York:ASCE,1988:203-217.
[13]屈铁军,王前信.空间相关的多点地震动合成(Ⅱ)合成实例[J].地震工程与工程振动,1998,18(2):25-32.QU Tiejun,WANG Qianxin.Simulation of spatialcorrelative time histories of multi-point ground motion,partⅡ:application of foundamental formulas[J].Journal of Earthquake and Engineering Vibration,1998,18(2):25-32.
[14]Boissières H P,Vanmarcke E H.Estimation of lags fora seismograph array:wave propagation and compositecorrelation[J].Soil Dynamics and EarthquakeEngineering,1994,14(1):5-22.
[2]Ohsaki Y.On the signicance of the phase content inearthquake ground motions[J].EarthquakeEngineering and Structural Dynamics,1979,7(5):427-439.
[3]Hao H,Oliveira C S,Penzien J.Multiple-stationground motion processing and simulation based onsmart-1 array data[J].Nuclear Engineering andDesign,1989,111(3):293-310.
[4]Katafygiotis L S,Zerva A,Asce A M.An efficientapproach for the simulation of spatially variable motionsfor the seismic response of lifelines[C/OL]//Proceedings of the 13th ASCE Engineering MechanicsConference,June 13-16,1999.Baltimore,MD.[2011-02-20].http://www.researchgate.net/publication/2801317_An_Efficient_Approach_for_the_Simulation_of_Spatially_Variable.
[5]Vanmarcke E H,Heredia-Zavoni E,Fenton G A.Conditional simulation of spatially correlated earthquakeground motion[J].Journal of Engineering Mechanics,1993,119(11):2333-2352.
[6]Kameda H,Morikawa H.An interpolating stochasticprocess for simulation of conditional random fields[J].Probabilistic Engineering Mechanics,1992,7(4):243-254.
[7]Marple S L.Digital spectral analysis:with applications[M].Englewood Cliffs:Prentice Hall,1987.
[8]Box G E P,Jenkins G M,Reinsel G.Time seriesanalysis:forecasting and control[M].3rd ed.Englewood Cliffs:Prentice Hall,1994.
[9]Akaike H.A new look at the statistical modelidentication[J].IEEE Transactions on AutomaticControl,1974,19(6):716-723.
[10]Boore D M,Bommer J J.Processing of strong-motionaccelerograms:needs,options and consequences[J].Soil Dynamics and Earthquake Engineering,2005,25(2):93-115.
[11]Akkar S,Boore D M.On baseline corrections anduncertainty in response spectra for baseline variationscommonly encountered in digital accelerograph records[J].Bulletin of the Seismological Society of America,2009,99(3):1671-1690.
[12]Harichandran R S.Local spatial variation of earthquakeground motion[M]//Thun J L V.Earthquakeengineering and soil dynamics II:recent advances inground-motion evaluation.New York:ASCE,1988:203-217.
[13]屈铁军,王前信.空间相关的多点地震动合成(Ⅱ)合成实例[J].地震工程与工程振动,1998,18(2):25-32.QU Tiejun,WANG Qianxin.Simulation of spatialcorrelative time histories of multi-point ground motion,partⅡ:application of foundamental formulas[J].Journal of Earthquake and Engineering Vibration,1998,18(2):25-32.
[14]Boissières H P,Vanmarcke E H.Estimation of lags fora seismograph array:wave propagation and compositecorrelation[J].Soil Dynamics and EarthquakeEngineering,1994,14(1):5-22.
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