简介:Inthispaper,weconsiderthepartialdifferentialequationofanelasticbeamwithstructuraldampingbyboundaryfeedbackcontrol.First,weprovethisclosedsystemiswell--posed;thenweestablishtbeexponentialstabilityforthiselasticsystembyusingatheoremwhichbelongstoF.L.Huang;finally,wediscussthedistributionandmultiplicityofthespectrumofthissystem.Theseresultsareveryimportantandusefulinpracticalapplications.
简介:Earthmediumisnotcompletelyelastic,withitsviscosityresultinginattenuationanddispersionofseismicwaves.Mostviscoelasticnumericalsimulationsarebasedonthefinite-differenceandfinite-elementmethods.Targetedatviscoelasticnumericalmodelingformultilayeredmedia,theconstant-QacousticwaveequationistransformedintothecorrespondingwaveintegralrepresentationwithitsGreen'sfunctionaccountingforviscoelasticcoefficients.Anefficientalternativeforfull-waveformsolutiontotheintegralequationisproposedinthisarticlebyextendingconventionalfrequency-domainboundaryelementmethodstoviscoelasticmedia.Theviscoelasticboundaryelementmethodenjoysadistinctcharacteristicoftheexplicituseofboundarycontinuityconditionsofdisplacementandtraction,leadingtoasemi-analyticalsolutionwithsufficientaccuracyforsimulatingtheviscoelasticeffectacrossirregularinterfaces.NumericalexperimentstostudytheviscoelasticabsorptionofdifferentQvaluesdemonstratetheaccuracyandapplicabilityofthemethod.
简介:LetR0,nbetherealCliffordalgebrageneratedbye1,e2,···,ensatisfyingeiej+ejei=-2δij,i,j=1,2,···,n.e0istheunitelement.Letbeanopenset.AfunctionfiscalledleftgeneralizedanalyticiniffsatisfiestheequationLf=0,(0.1)whereL=q0e0θx0+q1e1θx1+···+qnenθxn,qi>0,i=0,1,···,n.Inthisarticle,wefirstgivethekernelfunctionforthegeneralizedanalyticfunction.Further,theHilbertboundaryvalueproblemforgeneralizedanalyticfunctionsinRn+1+willbeinvestigated.
简介:Inthiswork,aSignoriniproblemwithCoulombfrictionintwodimensionalelasticityisconsidered.Basedonanewrepresentationofthederivativeofthedouble-layerpotential,theoriginalproblemisreducedtoasystemofvariationalinequalitiesontheboundaryofthegivendomain.Theexistenceanduniqueessofthissystemareestablishedforasmallfrictionalcoefficient.Theboundaryelementapproximationofthissystemispresentedandanerrorestimateisgiven.
简介:Thispaperisasequeltoapreviouspaper(Yang,Y.andZhang,J.H.Existenceofsolutionsforsomefourth-orderboundaryvalueproblemswithparameters.NonlinearAnal.69(2),1364–1375(2008))inwhichthenontrivialsolutionstothefourthorderboundaryvalueproblemswerestudied.Inthecurrentworkwiththesameconditionsnearinfinitybutdifferentnearzero,thepositive,negative,andsign-changingsolutionsareobtainedbythecriticalpointtheory,retractingproperty,andinvariantsets.
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简介:阶段地水晶(陆军)模型被用来模仿premelting脱臼运动对称当系统温度在时,在紧张行动下面倾斜谷物边界(STGB)远非,到融化的融化的点和结束分别地指。结果证明当premelting温度被接近到,本地premelting发生包围脱臼从在温度下面。STGB的premelting脱臼能在紧张行动下面滑行,并且premelting区域是为脱臼滑行的一个同伴。STGB腐烂的过程以二个高温度条件是很类似的。当premelting介绍,它减少为脱臼的滑行抵抗并且导致脱臼的一个更快的运动,并且也在STGB的腐烂过程期间引起系统的更多的精力减小。尽管有把紧张用于这些,premelting在STGB的整个腐烂过程取样,premelting脱臼区域显然不发展并且延长。这显示外部紧张行动不在高温度支持premelting,并且不能导致更多的premelting脱臼,它能在脱臼展览附近被欠到premelting阶段像液体的性质并且到容易滑行并且放松紧张精力的premelting脱臼;这与实验和分子的动力学的结果一致。
简介:Whencondensationoccursinsupersonicflowfields,theflowisaffectedbythelatentheatreleased.Inthepresentstudy,Navier-Stokesequationsweresolvednumericallyusinga3rd-orderMUSCLtypeTVDinite-differenceschemewithasecond-orderfractional-stepfortimeintegration,Baldwin-Lomaxmodel,thatisthealgebraicmodel,calledthezeroequationmodelwasusedinthecomputations.Theeffectsofinitialconditions(initialdegreeofsupersaturationandtotaltemperatureinthereservoir)oncondensingflowofmoistairinasupersoniccircularhalfnozzlewereinvestigated.Inthiscase,theeffectofcondensationontheboundarylayerwasalsodiscussedindetail.Asaresultthesimulatedflowfieldswerecomparedwithexperimentaldataingoodagreement,andthevelocityandtemperatureprofileswerelargelychangedbycondensation.
简介:Crossflowinstabilityplaysveryimportantroleinthetransitionoftheboundarylayeronasweptwing,typicalintheengineeringapplications.Experi-mentsrevealedthatthelinearstabilitytheorywellpredictedtheformofthecrossflowvortices,butusuallymuchoverpredictedtheirgrowthrate.Usingnonlineartheoryofhydrodynamicstability,combinedwithsomeotherconsiderations,wewereabletoobtainthegrowthrateingoodagreementwithexperimentalobservations.
简介:Thecharacteristicsofavaporbubblewithinthethermalboundarylayerweretheoreticallyanalyzed.ThePhysicalmodelsaccountingforthevariationofinterfacialtensionandfluiddensitywithtemperaturewerepropsedtoinvestigatebubbleinterfaceaspectsandthefluidflowaroundthebubble.Theanalysesdemonstratedthatthevariationininterfacialtensionresultsinveriationsintheliquid-vaporinterfaceshpaeandbubbledynamics,whichmayplayssignificantroleinthedepartureprocessofavaporbubblefromaheatedwallsurface,Increasingtemperaturegradientsintheboundarylayerandthegravitationalfieldinduceacontactlinecontractionandcorrespondinglypromotesbubbledeparture.Thesimulationofliquidflowaroundthebubbleshowsthatnaturalconvectiondominatestheflowforearthconditions;however,thethermocapillaryforcesprovidetheprincipalcatalystforbubbledepartureinamicrogravityenvironment.TheresultsindicatethatboththevaporbubblecontractionandtheMarangoniflowmayincreasetheheattransferaroundthevaporbubbleandmaycausethebubbletomoveawayfromtheheatingsurface,furtherincreasingheattransfer.
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简介:由二块橡皮组成的矩形的围场的结构的声学的联合特征支持了灵活盘子,四个僵硬盘子被分析。就在盘子和洞之间的完整的联合而言的一般明确的表达被使用Hamiltonian功能和Rayleigh夸耀方法开发。借助于沿着灵活盘子的边界的人工的弹簧的连续分布,许多边界条件和结构关节条件被考虑。为了表明分析模型,的有效性,在洞和板速度的健全压力的回答被得出。分析结果与Kim的试验性的结果与一致很好。结果是令人满意的。最后,结构颤动上的分析结果和在洞内的健全的地是presented.These结果显示联合联合结构是相对弱的因此内部洞声音被控制旁边直接激动的板,和翻译僵硬多于旋转僵硬影响声音。