地震力对高架桥梁轨道车辆影响之动态模型
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摘要
将轨道车辆系统仿真成由车厢、转向架及轮轴所组成。车厢与转向架间有次悬吊系统,转向架与轮轴间则有主悬吊系统。数学模型之推导将考虑车辆横向、垂向、翻滚(roll)及摇摆(yaw)方向之运动,将车辆仿真成三维具16个自由度之系统。本研究将探讨行驶高架桥梁之轨道车辆受地震激振时,建立轨道车辆与高架桥相互耦合之动态数学模型。
In this paper, the railway vehicle is considered to be three subsystems, namely carbody, bogie and wheelset. There are primary suspension systems connecting bogies and wheelsets, and secondary suspension systems between carbody and bogies. A vehicle with vertical, lateral, roll, and yaw directions motion is considered to derive the mathematical equations. A three-dimensional vehicle model with 16 degrees of freedom is used to develop the equations of train motion. In this study, two sets of equations of motion that are coupled can be developed when viaduct subjected to earthquake loading, one for the vehicle and the other for the viaduct. The equations of motion will be used to solve the dynamic response of the wheel-rail-viaduct interactions.
In this paper, the railway vehicle is considered to be three subsystems, namely carbody, bogie and wheelset. There are primary suspension systems connecting bogies and wheelsets, and secondary suspension systems between carbody and bogies. A vehicle with vertical, lateral, roll, and yaw directions motion is considered to derive the mathematical equations. A three-dimensional vehicle model with 16 degrees of freedom is used to develop the equations of train motion. In this study, two sets of equations of motion that are coupled can be developed when viaduct subjected to earthquake loading, one for the vehicle and the other for the viaduct. The equations of motion will be used to solve the dynamic response of the wheel-rail-viaduct interactions.
引文
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[31]LiJandSuM.Theresonantvibrationforasimplysupportedgirderbridgeunderhigh-speedtrains[J].JournalofSoundandVibration,1999,224(5):897-915.
[32]YangYBandYauJD.Vehicle-bridgeinteractionelementfordynamicanalysis[J].JournalofStructuralEngineering,1997,123(11):1512-1518.
[33]WiriyachaiA,GhuKHandGargVK.Bridgeimpactduetowheelandtrackirregularities[J].JournalofEngineeringMechanicsDivision,1982,108(4):648-667.
[34]YangFandFonderGA.Aniterativesolutionmethodfordynamicresponseofbridge-vehiclesystem[J].EarthquakeEngineeringandStructure Dynamics,1996,25(2):195-215.
[35]ShenZ.TheDynamicsofvehiclesonroadsandontracks[J].SupplementtoVehicleSystemDynamics,1993,23:300.
[36]NewlandDE.AnIntroductiontoRandomVibrationsandSpectralAnalysis[M],2ndedition(longmanGroup,London),1984.
[37]EsveldC.ModernRailwayTrack[M].1989,36.
[38]PriestleyMJN,SeibleFandCalviGM.SeismicDesignandRetrofitofBridge[M].1996,196.
[2]王午生,许玉德,郑其昌.铁道与城市轨道交通工程[M].上海:同济大学出版社,2003.
[3]谢伟平,于艳丽,姚春桥.高速移动荷载作用下轨道系统的振动研究[J].地震工程与工程振动,2002,22(2):85-90.
[4]陈勇全.捷运车辆轮轨动态作用力与脱轨系数之探讨[A].中国机械工程学会第十七届学术研讨会议论文集[C],台湾,2000,351-358.
[5]林仁生,陈勇全.捷运系统列车性能仿真[J].机械工业杂志,台湾台北市,1998,(184):197-203.
[6]林仁生,陈勇全,吴俊仲.电联车悬吊系统垂直方向特性分析[J].机械工业杂志,台湾台北市,1998,(185):250-257.
[7]林仁生,陈勇全,吴俊仲.电联车垂向与滚转动态分析[J].机械技术杂志,台湾台北市,1996,(163):180-187.
[8]林仁生,陈勇全,黄世畴.悬吊系统侧向动态行为与月台间隙探讨[A].中国第二十二届力学会议论文集[C],台湾,1998,127-133.
[9]林仁生,陈勇全,吴俊仲.电联车垂直方向振动分析[A].中国机械工程学会第十五届学术研讨会论文集[C],台湾.1998,879-883.
[10]郑永长.车轮与铁轨间非线性接触力对铁路车辆轮轴组稳定性之影响[D].台湾台南市:成功大学机械工程研究所,1998.
[11]宋丰华.列车运转曲线之自动规划与动态仿真研究[D].台湾台北市:台北科技大学机电整合研究所,1998,7.
[12]吴世鸿.车辆/轨道系统之交互作用分析[D].台湾台南市:成功大学机械工程研究所,1997.
[13]方志隆.地震对铁路单一列车通过桥梁时走行安定定性之分析[D].台湾桃园县:中央大学土木工程研究所,1993.
[14]GrassieSLetal,Thedynamicresponseofrailwaytracktohighfrequencyverticalexcitation[J].JournalofMechanicalEngineeringScience,1982,24(2):77-90.
[15]JenkinsHH,etal.Theeffectsoftrackandvehicleparametersonwheel/railverticaldynamicforces[J].RailwayEngineeringJournal,1974,2-16.
[16]HuntHEM.Stochasticmodelingoftraffic-inducedgroundvibration[J].JournalofSoundandVibration,1991,144(1):53-70.
[17]JezequelL.Responseofperiodicsystemstoamovingload[J].JournalofAppliedMechanics,1981,48:613-618.
[18]TassillyE,VincentN.Alinearmodelforthecorrugationofrails[J].JournalofSoundandVibration,1991,150(1):25-46.
[19]ClarkRA,etal.AnInvestigationintothedynamiceffectsofrailwayvehiclesrunningoncorrugatedrails[J].JournalofMechEngSci,1982,24(2):65-76.
[20]NewtonSGandClarkRA.Aninvestigationintothedynamiceffectsonthetrackofwheelflatsonrailwayvehicles.JournalofMechEngSci,1979,21(4):287-297.
[21]DianaG,HortonD,CollinaA.Interactionbetweenrailroadsuperstructureandrailwayvehicles[J].SupplementtoVehicleSystemDynamics,1993,23:75-86.
[22]VinyolasJ,AbeteJMandGimenezJG.Designmethodologyandexperimentalresultofatestfacilityforactiveconventionalrailwaysuspensions[J].VehicleSystemDynamics,1993,22:21-41.
[23]HuntHEM.Modellingofrailvehiclesandtrackforcalculationofground-vibrationtransmissionintobuilding[J].JournalofSoundandVibra tion,1996,193(1):185-194.
[24]CloughRWandPenzienJ.DynamicsofStructures[M],SecondEdition,1993.
[25]NewlandDE.Steeringcharacteristicsofbogies[J].RailwayGazette,1968,124(19):745-750.
[26]DiominYV.Stabilizationofhigh speedrailwayvehicles[J].VehicleSystemDynamics,1994,23:107-114.
[27]WickensAH.StaticandDynamicInstabilitiesofBogieRailwayVehicleswithLinkageSteeredWheelsets[J].VehicleSystemDynamics,1996,26:1-16.
[28]MatsuuraA.Simulationforanalyzingdirectderailmentofrunningvehicleonoscillatingtracks[J].StructuralEngineering/EarthquakeEngineer ing,1998,15(1):63-72.
[29]MiyamotoT,IshidaHandMatsuoM.Runningsafetyofrailwayvehicleasearthquakeoccurs[R].QuarterReportofRTRI,1997,38:117-122.
[30]InternationalOrganizationforStandardization.GuidefortheEvaluationofHumanExposuretoWhole-BodyVibration[S].FirstEdition-1974-07-01ReferenceNumberISO2631-1974.
[31]LiJandSuM.Theresonantvibrationforasimplysupportedgirderbridgeunderhigh-speedtrains[J].JournalofSoundandVibration,1999,224(5):897-915.
[32]YangYBandYauJD.Vehicle-bridgeinteractionelementfordynamicanalysis[J].JournalofStructuralEngineering,1997,123(11):1512-1518.
[33]WiriyachaiA,GhuKHandGargVK.Bridgeimpactduetowheelandtrackirregularities[J].JournalofEngineeringMechanicsDivision,1982,108(4):648-667.
[34]YangFandFonderGA.Aniterativesolutionmethodfordynamicresponseofbridge-vehiclesystem[J].EarthquakeEngineeringandStructure Dynamics,1996,25(2):195-215.
[35]ShenZ.TheDynamicsofvehiclesonroadsandontracks[J].SupplementtoVehicleSystemDynamics,1993,23:300.
[36]NewlandDE.AnIntroductiontoRandomVibrationsandSpectralAnalysis[M],2ndedition(longmanGroup,London),1984.
[37]EsveldC.ModernRailwayTrack[M].1989,36.
[38]PriestleyMJN,SeibleFandCalviGM.SeismicDesignandRetrofitofBridge[M].1996,196.
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