简介:Forthedynamicsofarigidbodywithafixedpointbasedonthequaternionandthecorrespondinggeneralizedmomenta,adisplacement-basedsymplecticintegrationschemefordifferential-algebraicequationsisproposedandappliedtotheLagrange’sequa-tionsbasedondependentgeneralizedmomenta.Numericalexperimentsshowthatthealgorithmpossessessuchcharactersashighprecisionandpreservingsysteminvariants.Moreimportantly,thegeneralizedmomentabasedLagrange’sequationsshowuniquead-vantagesoverthetraditionalLagrange’sequationsinsymplecticintegrations.
简介:Inmechanics,bothclassicalandquantum,onestudiestheprofoundinteractionbetweentwotypesofenergy,namely,thekineticenergyandthepotentialenergy.Theformercanbeorganizedasthekinematicmetricontheconfigurationspacewhilethelattercanberepresentedbyasuitablepotentialfunction,suchastheNewtonianpotentialincelestialmechanicsandtheCoulombpotentialinquantummechanicsofatomicandmolecularphysics.Inthispaper,theauthorstudiesthekinematicgeometryofn-bodysystems.Themainresultsaxe(i)theintroductionofacanonicalcoordinatesystemwhichrevealsthetotalamountofkinematicsymmetrybyanSO(З)×O(n-1)actioninsuchacanoniealcoordinaterepresentation;(ii)anindepthanalysisoftheabovekinematicsystembothinthesettingofclassicalinvarianttheoryandbythetechniqueofequivarjantRiemanniangeometry;(iii)aremarkablysimpleformulaforthepotentialfunctioninsuchacanonicalcoordinatesystemwhichrevealsthewell-fittingbetweenthekinematicsymmetryandthepotentialenergy.
简介:Thispaperaimsatdevelopingastochastic-elasticmodelofasoftelasticbodyadheringonawavysurfaceviaapatchofmolecularbonds.Theelasticdeformationofthesystemismodeledbyusingcontinuumcontactmechanics,whilethestochasticbehaviorofadhesivebondsismodeledbyusingBell'stypeofexponentialbondassociation/dissociationrates.Itisfoundthatforsufficientlysmalladhesionpatchsizeorstressconcentrationindex,theadhesionstrengthisinsensitivetothewavelengthbutdecreaseswiththeamplitudeofsurfaceundulation,andthatforlargeadhesionpatchsizeorstressconcentrationindex,thereexistoptimalvaluesofthesurfacewavelengthandamplitudeformaximumadhesionstrength.
简介:Hamiltonianstructureofarigidbodyinacircularorbitisestablishedinthispaper.Withthereductiontechnique,theHamiltonianstructureofarigidbodyinacircularorbitisderivedfromLie-Poissonstructureofsemidirectproduct,andHamiltonianisderivedfromJacobi’sintegral.TheabovemethodcanbegeneralizedtoestablishtheHamiltonianstructureofarigidbodywithaflexibleattachmentinacircularor-bit.Atlast,anexampleofstabilityanalysisisgiven.
简介:Numericalsimulationforfluidflowoveranattachedrigidbodywithadeformableringbubbleisanalyzedbasedonthevelocitypotentialtheorytogetherwiththeboundaryelementmethod(BEM).Theanalysisisfocusedontheaxisymmetriccase.Thebubblesurfaceistreatedasawelldefinedair-liquidinterfaceandistrackedbyamixedEulerian-Lagrangianmethod;Thepointsofintersectionbetweenthebubbleandbodyaretreated,speciallyinthenumericalprocedure.Theauxiliaryfunctionmethodisadoptedtocalculatethepressureonthebodysurfaceandintheflowfield.Theconvergencestudyisundertakentoassessthedevelopednumericalmethodandthecomputationcode.Somecasestudiesareundertakeninwhichtheinteractionsbetweenthebubble/bodyandtheincomingflowfieldaresimulated.Theeffectsofvariousphysicalparametersontheinteractionsareinvestigated.
简介:Theefiectsofmicroscopicthree-bodyforcesontheequatioilofstate(EOS)andthesingleparticlepropertiesofisospinasymmetricnuclearmatterhavebeenstudiedwithinBrueckner-Hartree-Fockframework~[1]Themicroscopicthree-bodyforcemodelconstructedfrommesonexchangecurrentapproachinRef.~[2]hasbeenextendedtoisospinasymmetricnuclearmatter
简介:TheintrinsicphysicalrelationshipofvorticitybetweenmodesAandBinthethree-dimensionalwaketransitionisinvestigated.Directnumericalsimulationsfortheflowpastasquare-sectioncylinderarecarriedoutatReynoldsnumbersof180and250,associatedwithmodesAandB,respectively.Basedontheanalysisofspacialdistributionsofvorticityinthenearwake,characteristicsoftheverticalvorticityinmodesAandBareidentified.Moreover,therelationshipofthreevorticitycomponentswithspecificsignsissummarizedintotwosignlaws,asintrinsicphysicalrelationshipsbetweentwoinstabilitymodes.Bythetheoryofvortex-inducedvortex,suchtwosignlawsconfirmthattherearetwoandonlytwokindsofvortex-sheddingpatternsinthenearwake,justcorrespondingtomodesAandB.Inbrief,alongthefreestreamdirection,modeAcanbedescribedbytheparallelsheddingverticalvorticeswiththesamesign,whilemodeBisdescribedbytheparallelsheddingstreamwisevorticeswiththesamesign.Finally,itisfoundoutthatthe-typevortexisabasickindofvortexstructureinbothmodesAandB.
简介:<正>AnonlinearhingedextensibleelasticbodyequationwithstrongstructuraldampingandBalakrishnan-Taylordampingoffullexponentisstudiedasageneralmodelforlargespacestructuresofhigherdimensions.Inthispaper,theabsorbingsetsandfiatinertialmanifoldareobtainedforthisnonlinearbodyequation.Thecontrolspilloverproblemassociatedwiththestabilizationofthisequationisresolvedbyconstructingalinearfinitedimensionalfeedbackcontrolbasedontheexistenceofinertialmanifoldsoftheuncontrolledequation.Moreover,theresultsobtainedarerobustwithrespecttotheuncertaintyinstructuralparameters.
简介:这份报纸集中于调查相互作用效果为打漩并且在稳定的火焰过程直率身体。粒子图象velocimetry被用来在三个炉子测量速度领域。首先,在直率身体的稳定的炉子有或没有的火焰的比较打漩被介绍。实验的结果介绍直率身体的稳定的火焰的变化什么时候打漩,被增加进炉子:最大的反向的流动速度和最大的平均数平均光线的速度减少;最大的光线的根平均数摆平波动(rms)速度增加;嘴轴的方面上的轴的速度山峰的价值更低,并且在山峰和中心线之间的距离更大;最大的光线的rms速度的地点从中央再通行地区(CRZ)搬到环形的气流的插头。然后,火焰在的比较打漩炉子有或没有直率身体被提供。实验的结果显示出打漩的变化火焰什么时候直率身体被增加进打漩炉子:在CRZ的空气旋涡搬到炉子;轴的平均数和rms速度减少的山峰价值;在中心线和轴的平均数和rms速度山峰增加之间的距离;吝啬的光线的速度减少的山峰,和rmsraidial速度增加的山峰。从这个实验的数据能也为燃烧的发展和确认作为基准被建立数字模拟。
简介:Strongasymmetricalvorticesappearontheleewardofslenderbodyathighanglesofattack,whichhasveryunfavorableeffectonthestabilityandcontroloftheaircraft.Amethodisdevelopedtocontrolthesideforceofslenderbodyathighanglesofattack,andisverifiedinwindtunnel.Athin-filmtriangularself-excitedoscillationflagisfixedatthetipoftheslenderbodymodelwhosesemi-apexangleis10°.Sideforceisapproximatelylinearlyproportionaltoroll-settingangleofself-excitedoscillationflagathighanglesofattack,andtheslopoffittingstraightlineobtainedbytheleastsquaremethodis-0.158.Thelinearrelationshipbetweensideforceandroll-settingangleprovidesconveniencefordevelopingsideforcecontrollawofslenderbodyathighanglesofattack.Experimentaldatashowsthatthesideforcecoefficientsvarylinearlywithroll-settingangleswhenaspecificplasticself-excitedoscillationflagisusedasthecontrolflag.Therangeofsideforcecoefficientandroll-settingangleare,respectively,-3.2to3.0and-20°to20°.Thedeviceissimple,effective,andisofgreatpotentialinengineeringapplication.
简介:ThefollowingquantitycanbeusedtodescribenuclearstoppinginHIC.Thetransverse-parallelratioofmomentumRgivenbyR=(2/π)(∑_i~A|P⊥(i)|)/(∑_i~A|P_‖(i)|).HerethetotalmassAisthesumoftheprojectilemassA_pandthetargetmassValuesofthetransverseandparallelcomponentsofthemomentumofthei-thnucleonareP⊥(i)=P_x(i)~2+P_y(i~2~(1/2and‖P_(i)=P_z(i),respectively.Tostudytherolesofthemomentumdependentinteractiononthenuclearstoppingduetothecouplingbetweentheisosp...
简介:BaseduponStrohformalismwederiveanovelandconvenientschemefordeterminingtheelasticfieldsofatwo-dimensionalanisotropicbodywithaparabolicboundarysubjecttotwokindsofboundaryconditions,whicharefreesurfaceandrigidsurface,respectively.ThecorrespondingGreen’sfunctionsarefoundbyusingtheconformalmappingmethod.Whentheparaboliccurvede-generatesintoahalf-infinitecrackorrigidinclusion,thesingularstressfieldsnearthetipofdefectsareobtained.Inparticular,thoseGreen’sfunctionsforaconcentratedmomentM0appliedatapointontheparaboliccurvearealsostudied.Itiseasilyfoundthatarbitraryparabolicboundaryvalueprob-lemscanbesolvedbyusingtheseGreen’sfunctionsandassociateintegrals.
简介:Nucleon-nucleon(NN)correlationsandtheirisospindependenceinasymmetricnuclearmatterareofgreatnterestsincetheyarecloselyrelatedtothestructureofneutron-richnuclei[1],particleproductioninheavy-ionollisions[2],andneutron-starphysics[3].Themany-bodycorrelationsamongnucleonscanbedirectlyreflectedintheneutronandprotonspectralfunctions[4],andthelattermayplayanimportantroleinunderstandingthenatureftheNNcorrelations,especiallytheshort-rangeandtensorcorrelationsinasymmetricnuclearmatter.
简介:Theobjectiveofthisinvestigationistoexaminethecorrectnessandefficiencyofthechoiceofboundaryconditionswhenusingassumedmodeapproachtosimulateflexiblemulti-bodysystems.ThedisplacementfieldduetodeformationisapproximatedbytheRayleigh-Ritzassumedmodesinfloatingframeofreference(FFR)formulation.Thedeformationsobtainedbytheabsolutenodalcoordinate(ANC)formulationwhicharetransformedbytwosetsofreferencecoordinatesareintroducedasacriteriontoverifytheaccuracyofthesimulationresultsbyusingtheFFRformulation.Therelationshipbetweenthedeformationsobtainedfromdifferentboundaryconditionsisrevealed.Numericalsimulationexamplesdemonstratethattheassumedmodeswithcantilevered-free,simply-supportedandfreefreeboundaryconditionswithoutinclusionofrigidbodymodesaresuitableforsimulationofflexiblemulti-bodysystemwithlargeoverallmotion,andthesamephysicaldeformationcanbeobtainedusingthosemodefunctions,differonlybyacoordinatetransformation.Itisalsoshownthatwhenusingmodeshapeswithstaticallyindeterminateboundaryconditions,significanterrormayoccur.Furthermore,theslidercrankmechanismwithrigidcrankisaccurateenoughforinvestigatingboundaryconditionproblemofflexiblemulti-bodysystem,whichcostsignificantlesssimulatingtime.
简介:Thedynamicbucklingofanelastic-plasticcolumnsubjectedtoaxialimpactbyarigidbodyhasbeendiscussedinthispaper.Thewholetravelingprocessofelastic-plasticwavesunderimpactactionisanalyzedwiththecharacteristicsmethod.Theregularityofstresschangesinbothcolumnendsandthefirstseparatingtimeofarigidbodyandcolumnareobtained.Byusingtheenergyprincipleandtakingintoaccountthepropagationandreflectionofstresswavesthelateraldisturbanceequationisderivedandthepowerseriessolutionisgiven.Inaddition,thecriticalbucklingconditioncanbeobtainedfromthestabilityanalysisofthesolution.Bynumericalcomputationandanalysis,therelationshipamongcriticalvelocityandimpactmass,hardeningmodulus,andbucklingtimeisgiven.
简介:BasedontheFloquettheoryonordinarydifferentialequationswithperiodicallyvariablecoefficientsandthebifurcationapproachtononlinearequations,anumericalapproachtodeterminingthestabilityregionofcontrolparametersisestablishedforadynamiccontrolsystemcomposedofamovingbodylevitatedmagneticallyoverflexibleguideways.Thesystemisnonlinearlycoupledamongtheelasticdeformationofguideways,disturbancethelevitationpositionofthebodyandelectromagneticcontrolforces.Thenumericalsimulationisgivenforthesysteminthecaseinwhichthecontrolparametersaretakenwithinandoutofthestabilityregionrespectively.Resultsshowthatthisapproachisreliable.