非平稳地震动过程模拟方法(Ⅱ)
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摘要
在总结回顾具有同一统计特征非平稳地震动过程模拟的研究基础上,提出了一个模拟产生与某个给定地震动记录具有同一统计特征时变功率谱的非平稳地震动过程的方法.方法具有如下一些特点:模拟产生的样本过程在幅值上和频率上均是非平稳的,幅值和频率的非平稳性均取决于目标时变功率谱;任意一个样本过程的时变功率谱未必符合目标谱,但在统计意义上却严格符合目标谱.最后,论文以Landers地震的一个加速度记录为例对方法进行了验证.
This paper proposes a method for simulation of non-stationary ground motion processes having the identical statistical feature, time-dependent power spectrum, with a given ground motion record, on the basis of review of simulation of non-stationary ground motion processes. The method has the following advantages: the sample processes are non-stationary both in amplitude and frequency, and both the amplitude and frequency non-stationarity depend on the target power spectrum; the power spectrum of any sample process does not necessarily accord with the target power spectrum, but statistically, it strictly accords with the target power spectrum. Finally, the method is verified by simulation of one acceleration record in Landers earthquake.
This paper proposes a method for simulation of non-stationary ground motion processes having the identical statistical feature, time-dependent power spectrum, with a given ground motion record, on the basis of review of simulation of non-stationary ground motion processes. The method has the following advantages: the sample processes are non-stationary both in amplitude and frequency, and both the amplitude and frequency non-stationarity depend on the target power spectrum; the power spectrum of any sample process does not necessarily accord with the target power spectrum, but statistically, it strictly accords with the target power spectrum. Finally, the method is verified by simulation of one acceleration record in Landers earthquake.
引文
胡聿贤.1988.地震工程学[M].北京:地震出版社,211～215
胡聿贤,何训.1986.考虑相位谱的人造地震动反应谱拟合[J].地震工程与工程振动,6(2):37～51
梁建文.2005.非平稳地震动过程模拟方法(Ⅰ)[J].地震学报,27(2):213～228
廖振鹏.1992.强烈地震地面运动模拟[A].见:国家地震局工程力学研究所主编.中国地震工程研究进展[C].北京:地震出版社,27～38
彭玉华.2000.小波变换与工程应用[M].北京:科学出版社,8～10
赵凤新,胡聿贤.1994.地震动非平稳性与幅值谱和相位差谱的关系[J].地震工程与工程振动,14(2):1～6
AminM,AngAHS.1968.Nonstationarystochasticmodelsofearthquake[J].JEngMech,ASCE,94(2):559～583
BendatJS,PiersolAG.2000.RandomData:AnalysisandMeasurementProcedures[M].3rdEdition.NewYork:John WileyandSons,499～506
CohenL.1995.Time FrequencyAnalysis[M].EnglewoodCliffs:Prentice Hall,82～92
FlanaganJL.1972.SpeechAnalysis:SynthesisandPerception[M].2ndEdition.NewYork:Springer Verlag,155～161
HammondJK.1968.Ontheresponseofsingleandmultidegreeoffreedomsystemstonon stationaryrandomexcitations[J].JSoundVibration,7(3):393～416
LiuSC.1970.Evolutionarypowerspectraldensityofstrong motionearthquakes[J].BullSeismSocAmer,60(3):891～900
MarkWD.1970.Spectralanalysisoftheconvolutionandfilteringofnon stationarystochasticprocesses[J].JSound Vibration,11(1):19～63
OhsakiY.1979.Onthesignificanceofphasecontentsinearthquakegroundmotions[J].EarthqEngStrucDynam,7(5):427～439
PriestleyMB.1965.Evolutionaryspectraandnon stationaryprocesses[J].JRoyalStatisticsSociety,SeriesB,27(2):204～237
PriestleyMB.1967.Powerspectralanalysisofnon stationaryrandomprocesses[J].JSoundVibration,6(1):86～97
ScanlanRH,SachsK.1974.Earthquaketimehistoriesandresponsespectra[J].JEngMech,ASCE,100(4):635～655
ShinozukaM,JanC M.1972.Digitalsimulationofrandomprocessesanditsapplication[J].JSoundVibration,25(1):111～128
胡聿贤,何训.1986.考虑相位谱的人造地震动反应谱拟合[J].地震工程与工程振动,6(2):37～51
梁建文.2005.非平稳地震动过程模拟方法(Ⅰ)[J].地震学报,27(2):213～228
廖振鹏.1992.强烈地震地面运动模拟[A].见:国家地震局工程力学研究所主编.中国地震工程研究进展[C].北京:地震出版社,27～38
彭玉华.2000.小波变换与工程应用[M].北京:科学出版社,8～10
赵凤新,胡聿贤.1994.地震动非平稳性与幅值谱和相位差谱的关系[J].地震工程与工程振动,14(2):1～6
AminM,AngAHS.1968.Nonstationarystochasticmodelsofearthquake[J].JEngMech,ASCE,94(2):559～583
BendatJS,PiersolAG.2000.RandomData:AnalysisandMeasurementProcedures[M].3rdEdition.NewYork:John WileyandSons,499～506
CohenL.1995.Time FrequencyAnalysis[M].EnglewoodCliffs:Prentice Hall,82～92
FlanaganJL.1972.SpeechAnalysis:SynthesisandPerception[M].2ndEdition.NewYork:Springer Verlag,155～161
HammondJK.1968.Ontheresponseofsingleandmultidegreeoffreedomsystemstonon stationaryrandomexcitations[J].JSoundVibration,7(3):393～416
LiuSC.1970.Evolutionarypowerspectraldensityofstrong motionearthquakes[J].BullSeismSocAmer,60(3):891～900
MarkWD.1970.Spectralanalysisoftheconvolutionandfilteringofnon stationarystochasticprocesses[J].JSound Vibration,11(1):19～63
OhsakiY.1979.Onthesignificanceofphasecontentsinearthquakegroundmotions[J].EarthqEngStrucDynam,7(5):427～439
PriestleyMB.1965.Evolutionaryspectraandnon stationaryprocesses[J].JRoyalStatisticsSociety,SeriesB,27(2):204～237
PriestleyMB.1967.Powerspectralanalysisofnon stationaryrandomprocesses[J].JSoundVibration,6(1):86～97
ScanlanRH,SachsK.1974.Earthquaketimehistoriesandresponsespectra[J].JEngMech,ASCE,100(4):635～655
ShinozukaM,JanC M.1972.Digitalsimulationofrandomprocessesanditsapplication[J].JSoundVibration,25(1):111～128
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