随机地震动模拟的时间序列法及其工程应用
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摘要
系统研究了AR和ARMA时间序列方法生成给定加速度功率谱人工地震波的新方法,根据相应理论编制了程序,并生成了人工地震加速度时程曲线,然后用生成的人工地震波进行结构动力时程分析,与实际地震波分析的结果进行了对比,计算结果表明,本文用于合成人工地震波的方法是可行的,生成的人工波可以用于实际结构的地震反应分析。
A new method of AR and ARMA models to simulate earthquake wave with given acceleration power spectrum is generated by the method and corresponding computer program is developed in this paper. Results of numerical examples indicate that the artificial earthquake wave generated by the method is applicable to practical structure dynamic time history analysis
A new method of AR and ARMA models to simulate earthquake wave with given acceleration power spectrum is generated by the method and corresponding computer program is developed in this paper. Results of numerical examples indicate that the artificial earthquake wave generated by the method is applicable to practical structure dynamic time history analysis
引文
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[10] FriotE,BoucR.FastsynathesisofARMAmodelsfortherecursivesimulationofscalarrandomprocesswithagiventargetspectrum,J.SoundandVibration,1994,170(3):415-421.
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[12] 朱位秋.随机振动[M].北京:科学出版社,1998.
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[2] 江近仁,洪峰.功率谱与反应谱的转换和人造地震波[J].地震工程与工程振动,1984,4(3):1-10.
[3] 胡聿贤,何训.考虑相位谱的人造地震动反应谱拟合[J].地震工程与工程震动,1986,6(2):37-49.
[4] FriedlanderB,PoratB.ThemodifiedYule-Wule-WalkermothodofARMAspectrumestimation[J].IEEETransactiononAerospaceandElectronicSystems,1984,AES-20(20):158-171.
[5] DeodatisG,ShinozukaM.Auto-regressivemodelfornonstationarystochasticproscesses[J].J.Engrg.Mech.,ASCE,1988,114(11):1995-2012.
[6] SpanosPD,MingnoletMP.Simulationofstationaryrandomprocesses:two-StageMAtoARMAApproach[J].J.Engrg.Mech.,ASCE,1990,116(3):620-641.'
[7] MignoletMP,SpanosPD.Z-transformmodelingofP-Mwavespectrum[J].J.Engrg.Mech.,ASCE,1986,112(8):745-759.
[8] NaganumaT,DeodatisG,ShinozukaM.ARMAmodelfortwo-dimensionalprocesses[J].J.Engrg.Mech.,ASCE,1987,113(2):234-251.
[9] SpanosPD,SchultzKP.Numericalsynthesisoftrivariatevelocityrealizationsofturbulence[J].Int.J.Non-LinearMech.,1986,21:269-277.
[10] FriotE,BoucR.FastsynathesisofARMAmodelsfortherecursivesimulationofscalarrandomprocesswithagiventargetspectrum,J.SoundandVibration,1994,170(3):415-421.
[11] SpanosPD,AzeldinB.EfficientiterativeARMAapproximationofmultivariaterandomprocessforstructuraldynamicsapplication[J].Earthg.Engrg.Struct.Dyn.,1996,25:497-507.
[12] 朱位秋.随机振动[M].北京:科学出版社,1998.
[13] 王松涛,曹资.现代抗震设计方法[M].北京:中国建筑出版社,1997.
[14] Ronalds,Harichaudran.Anefficientadaptivealgorithmforlarge-scalerandomvibrationanalysis[J].EarthqEngrg.Struct.Dyn.,1993,22:151-165.
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