Liquid Sloshing Dynamics Theory and Applications资料下载.pdf

Liquid Sloshing Dynamics Theory and Applications资料下载.pdf

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ThispageintentionallyleftblankLiquidSloshingDynamicsTheoryandApplicationsTheproblemofliquidsloshinginmovingorstationarycontainersremainsofgreatconcerntoaerospace,civil,andnuclearengineers;@#@physicists;@#@designersofroadtankersandshiptankers;@#@andmathematicians.Beginningwiththefundamentalsofliquidsloshingtheory,thisbooktakesthereadersystematicallyfrombasictheorytoadvancedanalyticalandexperimentalresultsinaself-containedandcoherentformat.Itpresentsliquidsloshingeffectsonspacevehicles,storagetanks,roadvehicletanksandships,andelevatedwatertowersundergroundmotion.Thebookisdividedintofoursections.PartIdealswiththetheoryoflinearliquidsloshingdynamics;@#@PartIIaddressesthenonlineartheoryofliquidsloshingdynamics,Faradaywaves,andsloshingimpacts;@#@PartIIIpresentstheproblemoflinearandnonlinearinterac-tionofliquidsloshingdynamicswithelasticcontainersandsupportedstructures;@#@andPartIVconsidersthefluiddynamicsinspinningcontainersandmicrogravitysloshing.Thisbookwillbeinvaluabletoresearchersandgraduatestudentsinmechanicalandaeronauticalengineering,designersofliquidcontainers,andappliedmathematicians.RaoufA.IbrahimisaprofessorofmechanicalengineeringatWayneStateUniversity.From1963until1971,heworkedasaresearchengineerattheAerospaceResearchCenteroftherocketsindustryinEgypt,thengainedhisPh.D.inMechanicalEngineeringfromtheUniversityofEdinburghin1974.From1976to1979,heworkedasaseniorresearchspecialistatSakrFactoryinCairoandasanadjunctassistantprofessoratCairoUniversity.In1979,hemovedtotheUnitedStatesandworkedatShakerResearchCorporation,beforejoiningTexasTechUniversityin1980asassistant,associate,andthenfullprofessor.In1987,hejoinedWayneStateUniversityandcontinuedhisresearchactivitiesinnonlinearrandomvibration,liquidsloshingdynamics,friction-inducedvibra-tion,andflutterofaeroelasticstructures.In1994hewasnamedtheArthurCarrProfessorofEngineeringandin1995hewasawardedtheBoardofGovernorsOutstandingProfessorAward.Hehaspublishedmorethan90papersinrefereedjournals,andaresearchmono-graph.HeisaFellowoftheASMEandAssociateFellowoftheAIAA.LiquidSloshingDynamicsTheoryandApplicationsRaoufA.IbrahimWayneStateUniversityDepartmentofMechanicalEngineeringCambridge,NewYork,Melbourne,Madrid,CapeTown,Singapore,SoPauloCambridgeUniversityPressTheEdinburghBuilding,Cambridge,UKFirstpublishedinprintformat-CambridgeUniversityPress20052005Informationonthistitle:

@#@www.cambridge.org/9780521838856Thispublicationisincopyright.Subjecttostatutoryexceptionandtotheprovisionofrelevantcollectivelicensingagreements,noreproductionofanypartmaytakeplacewithoutthewrittenpermissionofCambridgeUniversityPress.-CambridgeUniversityPresshasnoresponsibilityforthepersistenceoraccuracyofsforexternalorthird-partyinternetwebsitesreferredtointhispublication,anddoesnotguaranteethatanycontentonsuchwebsitesis,orwillremain,accurateorappropriate.PublishedintheUnitedStatesofAmericabyCambridgeUniversityPress,NewYorkwww.cambridge.orghardbackeBook（EBL）eBook（EBL）hardbackContentsForewordpagexiiAcknowledgmentxivIntroductionxviPartILinearsloshingdynamics11Fluidfieldequationsandmodalanalysisinrigidcontainers31.1Introduction31.2Fluidfieldequations51.3Variationalformulation91.4Normalmodesinanuprightcylindricalcontainer121.4.1Barewallcylindricaltank121.4.2Cylindricaltankwithringbaffles161.4.3Annulartank171.4.4Cylindricalquartertank181.5Normalmodesinarectangularcontainer201.6Normalmodesincontainerswithvariabledepth231.6.1Canalwith458-straightwalls231.6.2Horizontalcylindricalandsphericalcontainers251.6.3Prolatespheroidaltank461.6.4Oblatespheroidaltank531.6.5Conicalcontainer561.6.6Toroidalcontainers661.6.7Uprightellipticcontainers721.6.8Paraboloidcontainer741.7Closingremarks80Appendix81A1.1Curvilinearcoordinates81A1.2Cylindricalcoordinates82A1.3Sphericalcoordinates82A1.4Prolatespheroidalcoordinates83A1.5Oblatespheroidalcoordinates84A1.6Bipolarcoordinates?

@#@;@#@?

@#@;@#@z84A1.7Toroidalcoordinates?

@#@;@#@?

@#@;@#@872Linearforcedsloshing882.1Introduction882.2Uprightcylindricalcontainers89v2.2.1Lateralexcitation902.2.2Pitchingexcitation972.3Annularsectoredtank1022.3.1Lateralexcitation1022.3.2Pitchingexcitation1062.3.3Rollexcitation1092.4908-sectorcylindricaltank1152.4.1Lateralexcitation1152.4.2Pitchingexcitation1192.4.3Rollexcitation1212.5Annularcontainers1272.5.1Lateralexcitation1272.5.2Pitchingexcitation1292.6Rectangularcontainers1302.6.1Lateralexcitation1302.6.2Pitchingexcitation1342.6.3Rollexcitation1352.7Sphericalcontainers1372.8Prolateandoblatespheroidalcontainers1402.9Conicalcontainers1452.10Paraboloidcontainers1482.11Sloshingofmagneticfluids1512.12Closingremarks1543Viscousdampingandsloshingsuppressiondevices1563.1Introduction1563.2Viscousdampinginliquidcontainers1593.2.1Dampinginacircularcylindricalcontainer1593.2.2Dampinginothercontainers1653.3Freeandforcedoscillationsofviscousfluids1673.3.1Modalanalysisofviscousfluids1673.3.2Lateralexcitationofviscousfluids1733.4Suppressiondevices1783.4.1Dampinginacircularcylinderwithbaffles1793.5Periodicboundarylayers1913.5.1Stokesboundarylayeroveranoscillatingflatplate1913.5.2Periodicboundarylayersincylindricaltanks1933.5.3Effectofimmersedrods1983.6Closingremarks204PartIINonlinearandparametricsloshingdynamics2074Weaklynonlinearlateralsloshing2094.1Introduction2094.2Rotarysloshing2114.2.1Experimentalobservations2114.2.2Analysisofrotarysloshing214viContents4.3Randomexcitation2414.3.1Background2414.3.2Experimentalobservationsandresults2424.3.3Stochasticanalysisofearthquakeexcitationofliquidrigidtanks2434.4Nonlinearphenomenainrectangulartanks2534.4.1Background2534.4.2Longitudinalstandingwaves2554.5Conicaltanks2634.6Prolatespheroidalcontainer2724.7Spatialresonance2784.8Nonlinearsloshingofmagneticfluids2804.9Self-inducedsloshinginnuclearreactors2854.9.1Descriptionofliquiddynamicproblemsinnuclearplants2854.9.2Experimentalresults2864.10Closingremarks293Appendix294Orthogonalityandrecurrencerelations2945Equivalentmechanicalmodels2965.1Introduction2965.2Spring-mass-dashpotmodeling2985.2.1Lateralexcitationofundampedmodels3005.2.2Pitchingexcitationofundampedmodels3015.2.3Modelparametersforacircularuprightcylinder3015.2.4Modelparametersforarectangulartank3045.3Pendulummodeling3075.3.1LateralexcitationxX0sinOt,c03095.3.2Pitchingexcitation:

@#@CC0sinOt,x03095.3.3Mechanicalparametersforacircularcylinder3105.3.4Mechanicalparametersforarectangulartank3115.3.5Sphericalandoblatespheroidalcontainers3115.4Remarksonlinearmodeling3145.5Nonlinearmodeling3145.5.1Mechanicalmodelingofnonplanarsloshing3155.5.2Dynamicsofthesphericalpendulum3205.5.3Linearplussphericalpendulums3295.6Closingremarks3346Parametricsloshing:

@#@Faradaywaves3386.1Introduction3386.2Lineartheoryofparametricsloshing3416.3Nonlinearparametricsloshingofasinglemode3446.4Nonlinearmodalcompetition350Contentsvii6.5Autoparametricinteractionincylindricaltanks3566.5.1Historicaloverview3566.5.2Lagrangianformulation3586.5.3Two-to-oneinternalresonance3616.6Autoparametricinteractioninrectangulartanks3706.6.1Analyticalmodeling3706.6.2Singlemodeexcitation3766.6.3One-to-oneinternalresonance3806.6.4Experimentalresults3896.7Randomparametricexcitation3946.8Surfacedisintegration4006.9Closingremarks4047Dynamicsofliquidsloshingimpact4057.1Introduction4057.2Shockwaveinagascolumnanalogy4087.3Lateralexcitationofarectangulartank4177.4Impactduetosuddenacceleration4237.5Modelingofhydrodynamicimpactforces4257.6Analyticalapproaches4307.6.1Step-by-stepintegrationmethod4307.6.2Asymptoticapproximationtechniques4307.6.3Nonsmoothcoordinatetransformation4307.6.4Saw-toothtime-transformation（STTT）method4317.6.5Liegrouptransformation4347.7Structureinteractionwithsloshingimpact4387.7.1Firstmodeparametricexcitation4437.7.2Secondmodeparametricexcitation4487.7.3Mixedmodeparametricexcitation4527.8Numericalsimulationofsloshingimpact4557.8.1Preliminaries4557.8.2Thevolume-of-fluid（VOF）method4617.8.3Sloshingimpactinshiptankers4637.9Sloshinginroadtankers4717.10Closingremarks473Appendix475FunctionsCiiofequations（7.54）475PartIIISloshingstructureinteraction4798Linearinteractionwithelasticcontainers4818.1Introduction4818.2Basicproblemofhydroelasticdynamics4828.2.1Kinematicrelations4828.2.2Hydroelasticinteractingforces4868.3Interactionwithtankbottom4898.3.1Interactionwithelasticbottom490viiiContents8.4Interactionwithtankwalls5018.4.1Interactionwithbendingmodes5018.4.2Interactionwithbreathingmodes5128.5Interactionwithtankbottomandwalls5208.5.1Shellwithmembranebottom5238.5.2Shellwithelasticplatebottom5318.6Closingremarks5369Nonlinearinteractionunderexternalandparametricexcitations5389.1Introduction5389.2Generalequationsofmotion5419.3Shellspartiallyfilledwithliquid5439.3.1Freevibrationofshellspartiallyfilledwithstillfluid5439.3.2Influenceofliquidfreesurfaceoscillations5449.3.3Forcedvibrationofshellspartiallyfilledwithstillfluid5459.4Shellsfilledwithliquid5469.4.1Historicaloverview5469.4.2Interactionwithlinearliquidsloshing5489.4.3Freenonlinearmulti-modeproblem5509.4.4Multipleinternalresonances5559.4.5Linearshellinteractionwithnonlinearliquidsloshing5589.4.6Nonlinearsloshinginteractionwithlinearelasticbottom5649.5Nonlinearinteractionwithnonlinearsloshing5719.5.1Governingequationsofmotion5719.5.2Freenonlinearinteraction5759.5.3Forcedautoparametricinteraction5779.6Interactionunderparametri