基于时变ARMA序列的随机地震动模型
|
摘要
在研究结构的随机地震反应时,要用大量的符合场地条件的地震波作为输入。但强震历史记录却不是每个地区都有的,因此根据现有地震波建立符合场地条件的地震动模型具有重要意义。地震动具有很强的随机性和非平稳性,本文使用时变ARMA模型来建立地震动模型。为了使结果更具有普遍性,选用ElCentro波、Northridge波作为原波,分别利用作者编制的WINSIM程序建立了时变ARMA模型,并通过所建模型生成的模拟波与原波的比较,对模型的有效性进行了检验。
Study on the stochastic seismic response of the structure, more earthquake records fit for the selected site to input to structure model are needed. But in the given site it always hasn't the strong earthquake records,thus it's very significant to generate satisfactory reproduction of the observed acceleration. In this paper the time-vary ARMA model is used for simulating the earthquake, since the earthquake is the nonstationary stochastic process. For the result has universality, the suggested procedure in producing synthetic accelerogram corresponding to the two records of El centro and Northridge are applied. In this paper, the time-vary ARMA model is created through the WINSIM programmed by authors. Then the simulated and ‘target’ ground motions are compared, and the model is checked whether the estimated earthquake model is sufficient for representation of the ground motion variability associated with a given real earthquake process.
Study on the stochastic seismic response of the structure, more earthquake records fit for the selected site to input to structure model are needed. But in the given site it always hasn't the strong earthquake records,thus it's very significant to generate satisfactory reproduction of the observed acceleration. In this paper the time-vary ARMA model is used for simulating the earthquake, since the earthquake is the nonstationary stochastic process. For the result has universality, the suggested procedure in producing synthetic accelerogram corresponding to the two records of El centro and Northridge are applied. In this paper, the time-vary ARMA model is created through the WINSIM programmed by authors. Then the simulated and ‘target’ ground motions are compared, and the model is checked whether the estimated earthquake model is sufficient for representation of the ground motion variability associated with a given real earthquake process.
引文
[1] 李英民,赖明.工程地震动模型化研究综述及展望(Ⅰ)—概述与地震学模型[J].重庆建筑大学学报,1998,20(2):73～80.
[2] 李英民,赖明.工程地震动模型化研究综述及展望(Ⅱ)—平稳模型及均匀调制过程[J].重庆建筑大学学报,1998,20(4):111～118.
[3] 李英民,赖明.工程地震动模型化研究综述及展望(Ⅲ)—其它工程学模型与展望[J].重庆建筑大学学报,1998,20(5):108～122.
[4] JurkevicsA ,UlrychTJ.Representingandsimulatingstronggroundmotion[J].BSSA ,1978,68(3):781～801.
[5] NauRF ,OliverRM ,PisterKS .Simulatingandanalyzingartificialnonstationaryearthquakegroundmotions[P ].1980,ReportNo.UCB EERC 8036,EarthquakeEngineeringResearchCenter,UniversityofCalifornia,Berkeley,CA ,1980.
[6] PolhemusNW ,CakmakAS .Simulationonearthquakegroundmotionsusingautoregressivemovingaverage(ARMA)models[J].EESD ,1981,9(4):343～354.
[7] ConteJP ,PisterKSandMahinSA .Influenceoftheearthquakegroundmotionprocessandstructuralpropertiesonresponsecharacteristicsofsimplestructures[P].ReportNo.UCB EERC 9009,EarthquakeEngineeringResearchCenter,UniversityofCalifornia,Berkeley,CA .1990.1～25.
[8] 蒋溥,梁小华,雷军.工程地震动时程合成与模拟[M].北京:地震出版社,1991:33～36.
[9] 李英民.地震波仿真及多刚体离散模型在剪切型结构地震反应分析中的应用[D].重庆:重庆建筑大学硕士学位论文,1992.
[10] 胡孔国,陈小兵,岳清瑞.随机地震动模拟的时间序列法及其工程应用[J].世界地震工程,2003,19(1):141～153.
[11] 李英民,董银峰,夏洪流,赖明.考虑频率非平稳特性的地震波ARMA模型仿真方法[J].重庆建筑大学学报,2000,22(5):123～127.
[12] ChangMK ,KwiatkowskiJW ,NauRF ,OliverRMandPisterKS .ARMAModelsforEarthquakeGroundMotions[P ].Univ.ofCalif.Tech.ReportORC 791,OPERATIONSResearchCenter,Berkeley,CA ,1979.
[13] KozinF .EstimationandModelingofNonStationaryTimeSeries[P].Proc.Symp.ComputerMeth.inEng.Univ.ofSouthernCalifornia.1979.
[14] AhmetSCakmak,RussellISherifandGlennellis.ModelingearthquakegroundmotionsinCaliforniausingparametrictimeseriesmethods[J].SoilDynamicsandEarthquakeEngineering.1985,4(3).
[15] ConteJP ,PisterKS ,MahinSA .NonstationaryARMAmodelingofseismicmotions[J].SoilDynamicsandEarthquakeEngineering,1992,11.
[16] AAghababaiiMobarakeh,FRRofooei,G .Ahmadi.Simulationofearthquakerecordsusingtime varyingArma(2,1)model[J].ProbabilisticEngineeringMechanics.2002,17:15～34.
[17] 章在墉.地震危险性分析及其应用[M].上海:同济大学出版社.
[18] GB500112001,建筑抗震设计规范[S].
[19] 陈兆国.时间序列及其谱分析[M].北京:科学出版社,1988.
[2] 李英民,赖明.工程地震动模型化研究综述及展望(Ⅱ)—平稳模型及均匀调制过程[J].重庆建筑大学学报,1998,20(4):111～118.
[3] 李英民,赖明.工程地震动模型化研究综述及展望(Ⅲ)—其它工程学模型与展望[J].重庆建筑大学学报,1998,20(5):108～122.
[4] JurkevicsA ,UlrychTJ.Representingandsimulatingstronggroundmotion[J].BSSA ,1978,68(3):781～801.
[5] NauRF ,OliverRM ,PisterKS .Simulatingandanalyzingartificialnonstationaryearthquakegroundmotions[P ].1980,ReportNo.UCB EERC 8036,EarthquakeEngineeringResearchCenter,UniversityofCalifornia,Berkeley,CA ,1980.
[6] PolhemusNW ,CakmakAS .Simulationonearthquakegroundmotionsusingautoregressivemovingaverage(ARMA)models[J].EESD ,1981,9(4):343～354.
[7] ConteJP ,PisterKSandMahinSA .Influenceoftheearthquakegroundmotionprocessandstructuralpropertiesonresponsecharacteristicsofsimplestructures[P].ReportNo.UCB EERC 9009,EarthquakeEngineeringResearchCenter,UniversityofCalifornia,Berkeley,CA .1990.1～25.
[8] 蒋溥,梁小华,雷军.工程地震动时程合成与模拟[M].北京:地震出版社,1991:33～36.
[9] 李英民.地震波仿真及多刚体离散模型在剪切型结构地震反应分析中的应用[D].重庆:重庆建筑大学硕士学位论文,1992.
[10] 胡孔国,陈小兵,岳清瑞.随机地震动模拟的时间序列法及其工程应用[J].世界地震工程,2003,19(1):141～153.
[11] 李英民,董银峰,夏洪流,赖明.考虑频率非平稳特性的地震波ARMA模型仿真方法[J].重庆建筑大学学报,2000,22(5):123～127.
[12] ChangMK ,KwiatkowskiJW ,NauRF ,OliverRMandPisterKS .ARMAModelsforEarthquakeGroundMotions[P ].Univ.ofCalif.Tech.ReportORC 791,OPERATIONSResearchCenter,Berkeley,CA ,1979.
[13] KozinF .EstimationandModelingofNonStationaryTimeSeries[P].Proc.Symp.ComputerMeth.inEng.Univ.ofSouthernCalifornia.1979.
[14] AhmetSCakmak,RussellISherifandGlennellis.ModelingearthquakegroundmotionsinCaliforniausingparametrictimeseriesmethods[J].SoilDynamicsandEarthquakeEngineering.1985,4(3).
[15] ConteJP ,PisterKS ,MahinSA .NonstationaryARMAmodelingofseismicmotions[J].SoilDynamicsandEarthquakeEngineering,1992,11.
[16] AAghababaiiMobarakeh,FRRofooei,G .Ahmadi.Simulationofearthquakerecordsusingtime varyingArma(2,1)model[J].ProbabilisticEngineeringMechanics.2002,17:15～34.
[17] 章在墉.地震危险性分析及其应用[M].上海:同济大学出版社.
[18] GB500112001,建筑抗震设计规范[S].
[19] 陈兆国.时间序列及其谱分析[M].北京:科学出版社,1988.
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心