时频联合分析方法在土木工程中的研究现状
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摘要
时频联合分析方法因能同时提供信号的局部时频特征,适于分析非平稳信号而在土木工程领域得到了极大应用。线性变换、双线性变换和Hilbert-Huang变换是土木工程中常用的时频联合分析方法。根据时频分析方法的理论,将其应用于人工地震波模拟、结构动力反应分析和可靠性估计、结构参数识别及损伤检测等领域。通过对其在土木工程中的应用进行总结,提出了存在的问题,探讨了进一步研究的方向。
The methods of joint time frequency analysis have been widely applied in civil engineering due to its ability to provide local time frequency characteristics of signal and the ability to analyze nonstationary signal. Linear transform, bi linear transform and Hilbert Huang transform have been applied in the simulation of artificial seismic wave, dynamic analysis and estimation of the reliability of structures, parameters identification and damage detection in civil engineering. The existing problems are presented and the further research direction is discussed based on the summation of the application of the methods in civil engineering.
The methods of joint time frequency analysis have been widely applied in civil engineering due to its ability to provide local time frequency characteristics of signal and the ability to analyze nonstationary signal. Linear transform, bi linear transform and Hilbert Huang transform have been applied in the simulation of artificial seismic wave, dynamic analysis and estimation of the reliability of structures, parameters identification and damage detection in civil engineering. The existing problems are presented and the further research direction is discussed based on the summation of the application of the methods in civil engineering.
引文
1 ShieQian,DapangChen.JointTimeFrequencyAnalysis.IEEESignalProcessingMagazine,1999,16(2):53～67
2 LeonCohen.TimeFrequencyDistributions aReview.ProceedingsoftheIEEE ,1989,77(7):941～981
3 NordenE .HuangZS ,StevenR ,Long,etal.TheEmpiricalmodeDecompositionandtheHilbertSpectrumforNonlinearandNonStationaryTimeSeriesAnalysis.Proc.R .Soc.A ,1998,454:903～995
4 JunjieWang,LichuFan,ShieQian,JingZhou.SimulationsofNonStationaryFrequencyContentandItsImportancetoSeismicAssessmentofStructures.EarthquakeEngineeringandStructuralDynamics,2002,31:993～1005
5 ConteJP ,PengBF .FullyNonstationaryAnalyticalEarthquakeGroundMotionModel.JournalofEngineeringMechanics,1997,123(1):15～24
6 曹 晖,赖 明,白绍良.基于小波变换的地震地面运动仿真研究.土木工程学报,2002,35(4):40～46
7 SushovanMukherjee,GuptaVinayK .WaveletBasedCharacterizationofDesignGroundMotions.EarthquakeEngineeringandStructuralDynamics,2002,31:1173～1190
8 BiswajitBasu,GuptaVinayK .SeismicResponseofSDOFSystembyWaveletModelingofNonstationaryProcesses.JournalofEngineeringMechanics,1998,124(10):1142～1150
9 BiswajitBasu.GuptaVinayK .StochasticSeismicResponseofSingleDegree ofFreedomSystemsthroughWavelets.EngineeringStructures,2000,22:1714～1722
10 JunLyama,HitoshiKuwamura.ApplicationofWaveletstoAnalysisandSimulationofEarthquakeMotions.EarthquakeEngineeringandStructuralDynamics,1999,28:255～272
11 BiswajitBasu,GuptaVinayK .NonStationarySeismicResponseofMDOFSystemsbyWaveletTransform.EarthquakeEngineeringandStructuralDynamics,1997,26:1243～1258
12 BiswajitBasu,GuptaVinayK .WaveletBasedAnalysisofNonStationaryResponseofaSlippingFoundation.JournalofSoundandVibration,1999,222(4):547～563
13 BiswajitBasu,GuptaVinayK .WaveletBasedNonStationaryResponseAnalysisofFrictionBasedIsolatedStructure.EarthquakeEngineeringandStructuralDynamics,2000,29:1659～1676
14 曹 晖,赖 明,白绍良.基于小波分析的结构动力可靠度估计.世界地震工程,2000,16(4):70～77
15 樊 剑,唐家祥.基于离散小波变换的多自由度结构非平稳随机响应计算.振动工程学报,2001,14(4):438～441
16 樊 剑,唐家祥.基于离散小波变换的滑移隔振结构非平稳随机响应计算.工程力学,2002,19(2):73～77
17 段雪平,朱宏平.地震作用下结构动力响应的小波分析.华中理工大学学报,2000,28(11):75～78
18 肖梅岭,叶燎原.连续小波变换用于结构地震反应分析.世界地震工程,2001,17(4):79～83
19 周太全,李光霞,贾军波.基础隔震结构在地震作用下动力响应小波分析.工业建筑,2003,33(6):21～23
20 应益荣,梁家荣.单质点弹性体系的小波变换.西北建筑工程学院学报,1999(1):75～80
21 ZhangRayRuichong,ShuoMa,ErdalSafak,StephenHartzell.HilbertHuangTransformAnalysisofDynamicandEarthquakeMotionRecordings.JournalofEngineeringMechanics,2003,129(8):861～875
22 TsoChienPan,ChinLongLee.ApplicationofWaveletTheorytoIdentifyYieldinginSeismicResponseofBiLinearStructures.EarthquakeEngineeringandStructuralDynamic,2002,31:379～398
23 StaszewskiWJ.IdentificationofDampinginModSystemsUsingTimeScaleDecomposition.JournalofSoundandVibration,1997,203(2):283～305
24 LamarqueCH ,PernotS ,CuerA .DampingIdentificationinMultiDegree ofFreedomSystemsviaaWaveletLogarithmicDecrementPart1:Theory.JournalofSoundandVibration.2000,235:361～374
25 SlavicJ,SimonovskiI,BoltezarM .DamjpingIdentificationUsingaContinuousWaveletTransform:ApplicationtoRealData.JournalofSoundandVibration,2003,262:291～307
26 KijeswskiT ,KareemA .WaveletTransformforSystemIdentificationinCivilEngineeringComputerAidedCivilandInfrastructureEngineering.2003,18:339～355
27 ZhangZY ,HuaHX ,XuXZ ,HuangZ .ModalParameterIdentificationthroughGaborExpansionofReponseSignals.JournalofSoundandVibration,2003,266(5):943～955
28 JosephLardies,StephaneGouttbroze.IdentificationofModalParametersUsingtheWaveletTransform.InternationalJournalofMechanicalSciences,2002,44:2263～2283
29 于开平,邹经湘.模态参数识别的小波变换方法.宇航学报,1999,20(4):72～76
30 BonatoP ,CeravoloR ,StefanoADe.TimeFrequencyandAmbiguityFunctionApproachesinStructuralIdentification.JournalofEngineeringMechanics,1997,123:1260～1267
31 BonatoP ,CeravoloR ,StefanoADe.TheUseofWindExcitationinStructuralIdentification.JournalofWindEngineeringandIndustrialAerodynamics,1998,74～76:709～718
32 BonatoP ,CeravoloR ,StefanoADe,MolonariF .UseofCrossTimeFrequencyEstimatorsforStructuralIdentificationinNonStationaryConditionsandunderUnknownExcitation.JournalofSoundandVibration,2000,237(5):775～791
33 YangJannN ,YingLei,ShuwenPan,NordenHuang.SystemIdentificationofLinearStructuresBasedonHilbertHuangSpectralAnalysis.Part1:NormalModes.EarthquakeEngineeringandStructureDynamics,2003,32:1443～1467
34 YangJannN ,YingLei,ShuwenPan,NordenHuang.SystemIdentificationofLinearStructuresBasedonHilbertHuangSpectralAnalysis.Part2:ComplexModes.EarthquakeEngineeringandStructureDynamics,2003,32:1533～1554
35 续秀忠,李忠付,等.非平稳环境激励下线性结构在线模态参数辨识.上海交通大学学报,2003,37(1):118～121
36 韩海明,沈涛虹,宋汉文.工况模态分析的EMD方法.振动与冲击,2002,21(4):69～71
37 陈 隽,徐幼麟.HHT方法在结构模态参数识别中的应用.振动工程学报,2003,16(3):383～388
38 MichanelFeldman.NonLinearSystemVibrationAnalysisUsingHilbertTransformI.FreeVibrationAnalysisMethod‘FREEVIB’.MechanicalSystemsandSignalProcessing1994,8(2):119～127
39 LiLiWang,JinghuiZhang,ChaoWang,ShiyueHu.TimeFrequencyAnalysisofNonlinearSystem:theSkeletonLinearModelandtheSkeletonCurves.JournalofSoundandAcoustics,2003,125:170～177
40 LiLiWang,JinghuiZhang,ChaoWang,ShiyueHu.IdentificationofNonlinearSystemsthroughTimeFrequencyFilteringTechnique.JournalofSoundandAcoustics.2003,125:199～204
41 续秀忠,张志谊,华宏星.应用时频分析方法辨识时变系统的模态参数.振动工程学报,2003,16(6):358～362
42 YoshihiroKitada,IdentificationofNonlinearStructuralDynamicSystemsUsingWavelets.JournalofEngineeringMechanics,1998,124(10):1059～1066
43 GhanemR ,RomeoF .AWaveletBasedApproachfortheIdentificationofLinearTimeVaryingDynamicalSystems.JournalofSoundandVibration,2000,234(4):555～576
44 GhanemR ,RomeoF .AWaveletBasedApproachforModelandParameterIdentificationofNonLinearSystems.InternationalJournalofNonLinearMechanics,2001,36:835～859
45 StaszewskiWJ.IdentificationofNonLinearSystemsUsingMultiScaleRidesandSkeletonsoftheWaveletTransform.JournalofSoundandVibration,1998,214(4):639～658
46 HaaseM ,WidjajakusumaJ .DamageIdentificationBasedonRidgesandMaximaLinesoftheWaveletTransform.InternationalJournalofEngineeringScience.2003,41:1423～1443
47 高宝成,时良平,等.基于小波分析的简支梁裂缝识别方法研究.振动工程学报,1997,10(1):81～85
48 LiewKM ,WangQ .ApplicationofWaveletTheoryforCrackIdentificationinStructures.JournalofEngineeringMechanics,1998,124(2):152～157
49 丁幼亮,李爱群,韩晓林.基于小波包分析的结构实时损伤报警数值研究.东南大学学报(自然科学版),2003,33(5):643～646
50 ZhouZ ,NooriM ,AmandRSt.WaveletBasedApproachforStructuralDamageDetection.JournalofEngineeringMechanics,2000,126(7):677～683
51 李洪泉,董 亮,吕西林.基于小波变换的结构损伤识别与试验研究.土木工程学报,2003,36(5):52～57
52 AdrianaHera,AhikunHou.ApplicationofWaveletApproachforASCEStructuralHealthMonitoringBenchmarkStudies.JournalofEngineeringMechanics,2004,130(1):96～104
53 YangJN ,LeiY ,LinS ,HuangN .HilbertHuangBasedApproachforStructuralDamageDetection.JournalofEngineeringMechanics,2004,130(1):85～95
54 刘志刚,王晓茹,钱清泉.小波网络的研究进展与应用.电力系统自动化,2003,27(6):73～79
55 鞠彦忠,阎贵平,陈建斌,等.用小波神经网络检测结构损伤.工程力学,2003,20(6):176～181
56 SunZ ,ChangCC .StructuralDamageAssessmentBasedonWaveletPacketTransform.JournalofStructuralEngineering,2002,128(10):1354～1361
57 BonatoP ,CeravoloR ,StefanoADe,KnafilitzM .BilinearTimeFrequencyTransformationsintheAnalysisofDamagedStructures.MechanicalSystemsandSignalProcessing,1997,11(4):509～527
2 LeonCohen.TimeFrequencyDistributions aReview.ProceedingsoftheIEEE ,1989,77(7):941～981
3 NordenE .HuangZS ,StevenR ,Long,etal.TheEmpiricalmodeDecompositionandtheHilbertSpectrumforNonlinearandNonStationaryTimeSeriesAnalysis.Proc.R .Soc.A ,1998,454:903～995
4 JunjieWang,LichuFan,ShieQian,JingZhou.SimulationsofNonStationaryFrequencyContentandItsImportancetoSeismicAssessmentofStructures.EarthquakeEngineeringandStructuralDynamics,2002,31:993～1005
5 ConteJP ,PengBF .FullyNonstationaryAnalyticalEarthquakeGroundMotionModel.JournalofEngineeringMechanics,1997,123(1):15～24
6 曹 晖,赖 明,白绍良.基于小波变换的地震地面运动仿真研究.土木工程学报,2002,35(4):40～46
7 SushovanMukherjee,GuptaVinayK .WaveletBasedCharacterizationofDesignGroundMotions.EarthquakeEngineeringandStructuralDynamics,2002,31:1173～1190
8 BiswajitBasu,GuptaVinayK .SeismicResponseofSDOFSystembyWaveletModelingofNonstationaryProcesses.JournalofEngineeringMechanics,1998,124(10):1142～1150
9 BiswajitBasu.GuptaVinayK .StochasticSeismicResponseofSingleDegree ofFreedomSystemsthroughWavelets.EngineeringStructures,2000,22:1714～1722
10 JunLyama,HitoshiKuwamura.ApplicationofWaveletstoAnalysisandSimulationofEarthquakeMotions.EarthquakeEngineeringandStructuralDynamics,1999,28:255～272
11 BiswajitBasu,GuptaVinayK .NonStationarySeismicResponseofMDOFSystemsbyWaveletTransform.EarthquakeEngineeringandStructuralDynamics,1997,26:1243～1258
12 BiswajitBasu,GuptaVinayK .WaveletBasedAnalysisofNonStationaryResponseofaSlippingFoundation.JournalofSoundandVibration,1999,222(4):547～563
13 BiswajitBasu,GuptaVinayK .WaveletBasedNonStationaryResponseAnalysisofFrictionBasedIsolatedStructure.EarthquakeEngineeringandStructuralDynamics,2000,29:1659～1676
14 曹 晖,赖 明,白绍良.基于小波分析的结构动力可靠度估计.世界地震工程,2000,16(4):70～77
15 樊 剑,唐家祥.基于离散小波变换的多自由度结构非平稳随机响应计算.振动工程学报,2001,14(4):438～441
16 樊 剑,唐家祥.基于离散小波变换的滑移隔振结构非平稳随机响应计算.工程力学,2002,19(2):73～77
17 段雪平,朱宏平.地震作用下结构动力响应的小波分析.华中理工大学学报,2000,28(11):75～78
18 肖梅岭,叶燎原.连续小波变换用于结构地震反应分析.世界地震工程,2001,17(4):79～83
19 周太全,李光霞,贾军波.基础隔震结构在地震作用下动力响应小波分析.工业建筑,2003,33(6):21～23
20 应益荣,梁家荣.单质点弹性体系的小波变换.西北建筑工程学院学报,1999(1):75～80
21 ZhangRayRuichong,ShuoMa,ErdalSafak,StephenHartzell.HilbertHuangTransformAnalysisofDynamicandEarthquakeMotionRecordings.JournalofEngineeringMechanics,2003,129(8):861～875
22 TsoChienPan,ChinLongLee.ApplicationofWaveletTheorytoIdentifyYieldinginSeismicResponseofBiLinearStructures.EarthquakeEngineeringandStructuralDynamic,2002,31:379～398
23 StaszewskiWJ.IdentificationofDampinginModSystemsUsingTimeScaleDecomposition.JournalofSoundandVibration,1997,203(2):283～305
24 LamarqueCH ,PernotS ,CuerA .DampingIdentificationinMultiDegree ofFreedomSystemsviaaWaveletLogarithmicDecrementPart1:Theory.JournalofSoundandVibration.2000,235:361～374
25 SlavicJ,SimonovskiI,BoltezarM .DamjpingIdentificationUsingaContinuousWaveletTransform:ApplicationtoRealData.JournalofSoundandVibration,2003,262:291～307
26 KijeswskiT ,KareemA .WaveletTransformforSystemIdentificationinCivilEngineeringComputerAidedCivilandInfrastructureEngineering.2003,18:339～355
27 ZhangZY ,HuaHX ,XuXZ ,HuangZ .ModalParameterIdentificationthroughGaborExpansionofReponseSignals.JournalofSoundandVibration,2003,266(5):943～955
28 JosephLardies,StephaneGouttbroze.IdentificationofModalParametersUsingtheWaveletTransform.InternationalJournalofMechanicalSciences,2002,44:2263～2283
29 于开平,邹经湘.模态参数识别的小波变换方法.宇航学报,1999,20(4):72～76
30 BonatoP ,CeravoloR ,StefanoADe.TimeFrequencyandAmbiguityFunctionApproachesinStructuralIdentification.JournalofEngineeringMechanics,1997,123:1260～1267
31 BonatoP ,CeravoloR ,StefanoADe.TheUseofWindExcitationinStructuralIdentification.JournalofWindEngineeringandIndustrialAerodynamics,1998,74～76:709～718
32 BonatoP ,CeravoloR ,StefanoADe,MolonariF .UseofCrossTimeFrequencyEstimatorsforStructuralIdentificationinNonStationaryConditionsandunderUnknownExcitation.JournalofSoundandVibration,2000,237(5):775～791
33 YangJannN ,YingLei,ShuwenPan,NordenHuang.SystemIdentificationofLinearStructuresBasedonHilbertHuangSpectralAnalysis.Part1:NormalModes.EarthquakeEngineeringandStructureDynamics,2003,32:1443～1467
34 YangJannN ,YingLei,ShuwenPan,NordenHuang.SystemIdentificationofLinearStructuresBasedonHilbertHuangSpectralAnalysis.Part2:ComplexModes.EarthquakeEngineeringandStructureDynamics,2003,32:1533～1554
35 续秀忠,李忠付,等.非平稳环境激励下线性结构在线模态参数辨识.上海交通大学学报,2003,37(1):118～121
36 韩海明,沈涛虹,宋汉文.工况模态分析的EMD方法.振动与冲击,2002,21(4):69～71
37 陈 隽,徐幼麟.HHT方法在结构模态参数识别中的应用.振动工程学报,2003,16(3):383～388
38 MichanelFeldman.NonLinearSystemVibrationAnalysisUsingHilbertTransformI.FreeVibrationAnalysisMethod‘FREEVIB’.MechanicalSystemsandSignalProcessing1994,8(2):119～127
39 LiLiWang,JinghuiZhang,ChaoWang,ShiyueHu.TimeFrequencyAnalysisofNonlinearSystem:theSkeletonLinearModelandtheSkeletonCurves.JournalofSoundandAcoustics,2003,125:170～177
40 LiLiWang,JinghuiZhang,ChaoWang,ShiyueHu.IdentificationofNonlinearSystemsthroughTimeFrequencyFilteringTechnique.JournalofSoundandAcoustics.2003,125:199～204
41 续秀忠,张志谊,华宏星.应用时频分析方法辨识时变系统的模态参数.振动工程学报,2003,16(6):358～362
42 YoshihiroKitada,IdentificationofNonlinearStructuralDynamicSystemsUsingWavelets.JournalofEngineeringMechanics,1998,124(10):1059～1066
43 GhanemR ,RomeoF .AWaveletBasedApproachfortheIdentificationofLinearTimeVaryingDynamicalSystems.JournalofSoundandVibration,2000,234(4):555～576
44 GhanemR ,RomeoF .AWaveletBasedApproachforModelandParameterIdentificationofNonLinearSystems.InternationalJournalofNonLinearMechanics,2001,36:835～859
45 StaszewskiWJ.IdentificationofNonLinearSystemsUsingMultiScaleRidesandSkeletonsoftheWaveletTransform.JournalofSoundandVibration,1998,214(4):639～658
46 HaaseM ,WidjajakusumaJ .DamageIdentificationBasedonRidgesandMaximaLinesoftheWaveletTransform.InternationalJournalofEngineeringScience.2003,41:1423～1443
47 高宝成,时良平,等.基于小波分析的简支梁裂缝识别方法研究.振动工程学报,1997,10(1):81～85
48 LiewKM ,WangQ .ApplicationofWaveletTheoryforCrackIdentificationinStructures.JournalofEngineeringMechanics,1998,124(2):152～157
49 丁幼亮,李爱群,韩晓林.基于小波包分析的结构实时损伤报警数值研究.东南大学学报(自然科学版),2003,33(5):643～646
50 ZhouZ ,NooriM ,AmandRSt.WaveletBasedApproachforStructuralDamageDetection.JournalofEngineeringMechanics,2000,126(7):677～683
51 李洪泉,董 亮,吕西林.基于小波变换的结构损伤识别与试验研究.土木工程学报,2003,36(5):52～57
52 AdrianaHera,AhikunHou.ApplicationofWaveletApproachforASCEStructuralHealthMonitoringBenchmarkStudies.JournalofEngineeringMechanics,2004,130(1):96～104
53 YangJN ,LeiY ,LinS ,HuangN .HilbertHuangBasedApproachforStructuralDamageDetection.JournalofEngineeringMechanics,2004,130(1):85～95
54 刘志刚,王晓茹,钱清泉.小波网络的研究进展与应用.电力系统自动化,2003,27(6):73～79
55 鞠彦忠,阎贵平,陈建斌,等.用小波神经网络检测结构损伤.工程力学,2003,20(6):176～181
56 SunZ ,ChangCC .StructuralDamageAssessmentBasedonWaveletPacketTransform.JournalofStructuralEngineering,2002,128(10):1354～1361
57 BonatoP ,CeravoloR ,StefanoADe,KnafilitzM .BilinearTimeFrequencyTransformationsintheAnalysisofDamagedStructures.MechanicalSystemsandSignalProcessing,1997,11(4):509～527
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