简介:Inthepaper,anexperimentinvestigationwasconductedforone-andtwo-degreeoffreedomvortex-inducedvibration(VIV)ofahorizontally-orientedcylinderwithdiameterof11cmandlengthof120cm.Intheexperiment,thespringconstantsinthecross-flowandin-lineflowdirectionswereregulatedtochangethenaturalvibrationfrequencyofthemodelsystem.Itwasfoundthat,intheone-degreeoffreedomVIVexperiment,a"doublepeak"phenomenonwasobservedinitsamplitudewithintherangeofthereducedvelocitiestested,moreover,a"2T"wakeappearedinthevicinityofthesecondpeak.Inthetwo-degreeoffreedomVIVexperiment,thetrajectoryofcylinderexhibitedareverse"C"shape,i.e.,a"newmoon"shape.Throughanalysisofthesedata,itappearsthat,besidesthenon-dimensionalin-lineandcross-flownaturalvibrationfrequencyratios,theabsolutevalueofthenaturalvibrationfrequencyofcylinderisalsooneoftheimportantparametersaffectingitsVIVbehavior.
简介:AsetDofverticesofagraphG=(V,E)iscalledadominatingsetifeveryvertexofVnotinDisadjacenttoavertexofD.In1996,Reedprovedthateverygraphofordernwithminimumdegreeatleast3hasadominatingsetofcardinalityatmost3n/8.InthispaperwegeneralizeReed'sresult.WeshowthateverygraphGofordernwithminimumdegreeatleast2hasadominatingsetofcardinalityatmost(3n+|V_2|)/8,whereV_2denotesthesetofverticesofdegree2inG.Asanapplicationoftheaboveresult,weshowthatfork>1,thek-restricteddominationnumberr_k(G,y)<(3n+5k)/8forallgraphsofordernwithminimumdegreeatleast3.
简介:AnalgorithmforsimultaneouscomputationoftheadjointG(s)anddeterminantd(s)ofthematrixpolynomials2JsA1-A2ispresented,whereJisasingularmatrix.BothG(s)andd(s)areexpressedrelativetoabasisofLaguerreorthogonalpolynomials,ThisalgorithmisanewextensionofLeverrier-Fadeevalgorithm.
简介:在这研究,一条新分析途径被开发分析保守two-degree-of-freedom(TDOF)的免费非线性的颤动系统。这些系统的数学模型被秒顺序管理非线性的部分微分方程。非线性的微分方程被使用一些中间的变量变成一个单个方程。单个非线性的微分方程被使用Hamiltonian途径的第一份订单解决(哈)。不同参数,在系统的反应上有重要影响,被考虑并且讨论。一些比较被介绍验证在Hamiltonian途径和准确答案之间的结果。最大的相对错误是为颤动的大振幅的不到2.2124%。Hamiltonian途径的第一次重复完成很精确的结果,这被建立了,不要求任何小不安,并且能被用于大量非线性的问题。
简介:Thedynamicbehaviorofatwo-degree-of-freedomobliqueimpactsystemconsistedoftwopendulumswithnon-fixedimpactpositionsisinvestigated.Therelationsbetweentherestitutioncoefficient,thefrictioncoefficient,aswellasotherparametersofthesystemandthestatesbeforeorafterimpact,areclarifiedinthisobliqueimpactprocess.Theexistencecriterionofsingleimpactperiodic-nsubharmonicmotionsisdeducedbasedonthePoincaremapmethodandtheobliqueimpactrelationswithnon-fixedimpactpositions.ThestabilityofthesesubharmonicperiodicmotionsisanalyzedbytheFloquettheory,andtheformulastocalculatetheFloquetmultipliersaregiven.Thevalidityofthismethodisshownthroughnumericalsimulation.Atthesametime,theprobabilitydistributionofimpactpositionsinthisobliquesystemwithnonfixedimpactpositionsisanalyzed.
简介:Denotebyn(f)thedegreeofcopositiveapproximationtof(x)bypolynomialsofdegree≤n.Forfunctionf(x)∈Ck[-1,1]whichalternatesinsignfinitelymanytimesin[-1,1],theauthorobtainsthefollowingJacksontypeestimatesn(f)≤Cn-kw(fk,1/n)foaanypositiveintegerk.
简介:AgraphGisκ-orderedHamiltonian2≤κ≤n,ifforeveryorderedsequenceSofκdistinctverticesofG,thereexistsaHamiltoniancyclethatencountersSinthegivenorder,Inthisarticle,weprovethatifGisagraphonnverticeswithdegreesumofnonadjacentverticesatleastn+3κ-9/2,thenGisκ-orderedHamiltonianforκ=3,4,…,[n/19].Wealsoshowthatthedegreesumboundcanbereducedton+2[κ/2]-2ifκ(G)≥3κ-1/2orδ(G)≥5κ-4.Severalknownresultsaregeneralized.
简介:BasedontheX-rayscatteringintensitytheory,thecorrectionfactorsofthedegreeofcrystallinityformulaeofthemulticomponentpolymershavebeenclearlydefined.TheformulaeofthedegreeofcrystallinityofthemulticomponentpolymerswerederivedintermsofWAXDtheoryandimprovedgraphicmultipeakresolutionmethods.Theresultscalculatedaresatisfactoryincomparisonwiththedensitymeasurement.
简介:Abstract.Inthispaper,weintroduceanewapproachtocharacterizetheisomor-phismsofcirculantdigraphs.Intermsofthismethod,wecompletelydeterminetheisomorphicclassesofcirculantdigraphsofdegree3.Inpsrticular,wecharacterizethosecirculantdigraphsofdegree3whichdon''tsatisfyJkdAm''sconjectttre.
简介:在这个工作,我们以它的最小的度和它的顺序为任何图的直径获得好上面的界限,改进由于Erd的一条古典定理?s,Pach,绿鳕和Tuza。我们使用这些界限以便学习夸张的图(在Gromov意义)。计算hyperbolicity常数是一个几乎难处理的问题,这样试着以图的一些参数围住它是自然的。让H(n,0)是有n顶点和最小的度0,和J的图G的集合(n,)是有n顶点和最大的度的图G的集合。我们在图上学习四个后面的extremal问题:一(n,0)=min{(G)|GH(n,0)},b(n,0)=最大{(G)|GH(n,0)},(n,)=min{(G)|GJ(n,)}并且(n,)=最大{(G)|GJ(n,)}。特别地,我们为b获得界限(n,0)和我们计算精确价值一(n,0),(n,,并且(),并且(n,)为n的所有价值,0并且分别地。
简介:Wemeasuretheelectromagneticdegreeoftemporalcoherenceandtheassociatedcoherencetimeforquasi-monochromaticunpolarizedlightbeamsemittedbyanLED,afilteredhalogenlamp,andamultimodeHe–Nelaser.ThemethodisbasedonobservingattheoutputofaMichelsoninterferometerthevisibilities(contrasts)oftheintensityandpolarization-statemodulationsexpressedintermsoftheStokesparameters.Theresultsareingoodagreementwiththosededuceddirectlyfromthesourcespectra.Themeasurementsarerepeatedafterpassingthebeamsthroughalinearpolarizersoastoelucidatetheroleofpolarizationinelectromagneticcoherence.Whilethepolarizervariestheequal-timedegreeofcoherenceconsistentlywiththetheoreticalpredictionsandalterstheinnerstructureofthecoherencematrix,thecoherencetimeremainsalmostunchangedwhenthelightvariesfromunpolarizedtopolarized.Theresultsareimportantintheareasofapplicationsdealingwithphysicalopticsandelectromagneticinterference.