简介:Theunbondedflexiblepipeofeightlayers,inwhichallthelayersexceptthecarcasslayerareassumedtohaveisotropicproperties,hasbeenanalyzed.Specifically,thecarcasslayershowstheorthotropiccharacteristics.Theeffectiveelasticmoduliofthecarcasslayerhavebeendevelopedintermsoftheinfluenceofdeformationtostiffness.Withconsiderationoftheeffectiveelasticmoduli,thestructurecanbeproperlyanalyzed.Alsotherelativemovementsoftendonsandrelativedisplacementsofwiresinhelicalarmourlayerhavebeeninvestigated.Athree-dimensionalnonlinearfiniteelementmodelhasbeenpresentedtopredicttheresponseofflexiblepipesunderaxialforceandtorque.Further,thefrictionandcontactofinterlayerhavebeenconsidered.Comparisonbetweenthefiniteelementmodelandexperimentalresultsobtainedinliteraturehasbeengivenanddiscussed,whichmightprovidepracticalandtechnicalsupportfortheapplicationofunbondedflexiblepipes.
简介:与搏动在magneto-hydro-dynamic泵为充分发达的流动驱动器的稳定性在这糊一个分析解决方案横向的Eletro磁性的领域被介绍。做这,流动的一个理论模型被开发,分析结果被获得因为两个都对合适的圆柱、笛卡儿的配置在海洋的容器的推进使用。管理寓言的动量PDE用近似速度分发被转变成一个平常的微分方程。数字结果被获得,asymptotic分析被造发现答案的数学行为。在为斯图亚特数字,电磁的相互作用数字,雷纳兹数字,方面比率,以及磁性、电的尖频率和阶段角度的移动的各种各样的价值的magneto-hydro-dynamic泵对时间的最大的速度被介绍。结果证明为一个高级斯图亚特数字,为在流动的某个方向的液体流动的稳定性有频率限制。这稳定性频率依赖于一条隧道的几何参数。
简介:Locccalsplmesarepresentedfartheapproximationoffunctionsofoneandmanyvariables,whichareana-lyticinthedomamswhereUi(zi)isaunitdiskinthecomplexplaneCi,i=1,2,...l,l=1,2,...Resultsarcgivenforfunctionswhoser-orderderivativesbelongtotheHardy’sclassHp,1≤p≤∞,ItisshownthattheapproximationconvergetothefunctionattherateAexp(-Cn(r-1/p)forfunctionsofonevariableandAn-(r-1/p)/(I-1)forfunctionsoflvariables,wherenisthenumberofpointsoflocalsplinesandAandCarepositrveconstants.
简介:Thefollowingpartialdifferentialequationsarestudied:generalizedfifth-orderKdVequation,waterwaveequation,Kupershmidtequation,couplesKdVequation.Theanalyticalsolutionstotheseproblemsviausingvariousansaizesbyintroducingasecond-orderordinarydifferentialequationarefoundout.
简介:Anewmethodofshort-termforecastingforwaterconsumptioninmunicipalsupplywaternetworksbasedonwavelettransformationisintroduced.Bywaveletdecomposingcommonlyusedinthesignalfield,waterconsumptionperhourisdecomposedintomanyseries.Trenditem,cycleitemandrandomitemareseparatedfromtheoriginaltimeseriesinthisway.Thenbyanalyzing,buildingamodel,forecastingeveryseriesandcomposingtheresults,theforecastingvalueoftheoriginalconsumptionisreceived.Simulationresultsshowthatthisforecastingmethodisfasterandmoreaccurate,ofwhichtheerrorislessthan20%,indicatingthatthewaveletanalyticalmethodispracticable.
简介:One-dimensionalanalyticaltheoryisdevelopedforsupersonicductflowwithvariationofcrosssection,wallfriction,heataddition,andrelationsbetweentheinletandoutletflowparametersareobtained.Byintroducingaselfsimilarparameter,effectsofheatreleasing,wallfriction,andchangeincrosssectionareaontheflowcanbenormalizedandaself-similarsolutionoftheflowequationscanbefound.Basedontheresultofself-similarsolution,thesufficientandnecessaryconditionfortheoccurrenceofthermalchokingisderived.Arelationofthemaximumheatadditionleadingtothermalchokingoftheductflowisderivedasfunctionsofarearatio,wallfriction,andmassaddition,whichisanextensionoftheclassicRayleighflowtheory,wheretheeffectsofwallfrictionandmassadditionarenotconsidered.Thepresentworkisexpectedtoprovidefundamentalsfordevelopinganintegralanalyticaltheoryforramjetsandscramjets.
简介:Acompoundoptionissimplyanoptiononanoption.Inthisshortpaper,byusingamartingaletechnique,weobtainananalyticalformulaforpricingcompoundEuropeancalloptions.Numericalresultsaregiventoexplainsomeeconomicphenomenon.
简介:Analyticalsolutionsfortheelasticpropertiesofavarietyofbinarynanotubeswitharbitrarychiralityareobtainedthroughthestudyofsystematicmolecularmechanics.Thismolecularmechanicsmodelisfirstextendedtochiralbinarynanotubesbyintroducinganadditionaloutof-planeinversiontermintotheso-calledstick-spiralmodel,whichresultsfromthepolarbondsandthebucklingofbinarygraphiticcrystals.Theclosed-formexpressionsforthelongitudinalandcircumferentialYoung’smodulusandPoisson’sratioofchiralbinarynanotubesarederivedasfunctionsofthetubediameter.Theobtainedinversionforceconstantsarenegativeforalltypesofbinarynanotubes,andthepredictedtubestiffnessislowerthanthatbytheformerstick-spiralmodelwithoutconsiderationoftheinversionterm,reflectingthesofteningeffectofthebucklingontheelasticpropertiesofbinarynanotubes.Theobtainedpropertiesareshowntobecomparabletoavailabledensityfunctionaltheorycalculatedresultsandtobechiralityandsizesensitive.ThedevelopedmodelandexplicitsolutionsprovideasystematicunderstandingofthemechanicalperformanceofbinarynanotubesconsistingofIII–VandII–VIgroupelements.
简介:Thedesignandoperationofhighvolumeconveyorsystemsindistributioncentersareimportantduetoitshighcost,largefootprintandcriticalroleinthesystem.However,thereisnoanalyticalmodelavailable.Inthispaper,westudythecharacteristicsoftheconveyorsortationsystem,developagenericmodelofacomplexconveyornetwork.WethenusetheDelayandStockabstractiontodevelopanapproximateanalyticalmethodusingsamplepathanalysisanddynamicnetworkflowmodel.Thedecisionvariablesincludelengthofaccumulationsegmentsandthespeedsofconveyorcomponentsaforementioneddecisionvariables.Thisanalyticalsolutionprovidesfasteranalysis,insightsandusefulsubgradientwithrespecttothedecisionvariables.
简介:Non-equilibriumfissionhasbeendescribedbydiffusionmodel.Inordertodescribethediffusionprocessanalytically,theanalyticalsolutionofSmoluchowskiequationinharmonicoscillatorpotentialisobtained.Thisanalyticalsolutionisabletodescribetheprobabilitydistributionandthediffusivecurrentwiththevariablexandt.Theresultsindicatethattheprobabilitydistributionandthediffusivecurrentarerelevanttotheinitialdistributionshape,initialposition,andthenucleartemperatureT;thetimetoreachthequasi-stationarystateisproportionaltofrictioncoefficientβ,butisindependentoftheinitialdistributionstatusandthenucleartemperatureT.Theprerequisitesofnegativediffusivecurrentarejustified.Thismethodprovidesanapproachtodescribethediffusionprocessforfissileprocessincomplicatedpotentialsanalytically.
简介:The2Dplanegasflowunderheating(withnonentityboundarycondition)hasbeendiscussedbytheanalyticalapproachinthispaper.Theapproximateanalyticalsolutionshavebeenobtainedfortheflowpassingvariouskindsofheatsources.Solutionsdemonstratethethermaldisplacementphenomenaarestronglydependontheheatingintensity.
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简介:Micro-bolometerpixelisanessentialelementintheinfraredfocalplanearray(IRFPA)ofinfrareddetectors.Itsresponsetoinfraredradiationisanalyzedinthispaper.Thepixelstructureismodeledasacompositelaminatethinplatewhosesidesaremeasuredwiththethicknessfrom0.1-1μm.Itsmiddleplyisaferroelectricthinfilm.Itstopsurfaceiscoveredwithagoldorplatinuminfraredabsorber,whilethebottomsurfaceisdepositedwithplatinumorlanthanum-nickel.Meanwhilebothsurfacesareapairofelectrodes.Thetopsurfacereceivesinfraredradiationpulsessuccessively.Fortheverytinymicrobolometerpixel,itisassumedthattheinfraredradiationisuniformlydistributedontheplate.Furthermore,astheratioofthesidelengthtothethicknessoftheplateisdramaticallylarge,itisassumedthatheattransferonlytakesplaceacrossthethicknessoftheplate.Thethermal-electric-mechanicalcouplinggoverningequationsaresolvedinaformofFourierseries.Resultsofthedisplacement,temperaturevariationandelectricoutputsignalsofthemicrobolometerpixelstructureunderinfraredradiationareobtained,analyzedandcomparedwithexperimentaldata.
简介:Asimplemethodwasdevelopedtorelatesoilsorptivitytohydraulicdiffusivityandwaterabsorptionexperimentswereconductedutilizingone-dimensionalhorizontalsoilcolumnstovalidatetherelationship.Inaddition,anestimationmethodforhydraulicdiffusivitywithdiscinfiltrometerwasdeveloped.Theresultsindicatedafavorablefitofthetheoreticalrelationtotheexperimentaldata.Also,theexperimentwithdiscinfiltrometerforestimatingthediffusivityshowedthatthenewmethodwasfeasible.
简介:Afiniteelement-Helmholtzintegralhybridmethodhasbeendevelopedtocalculatetheelectro-acousticperformanceofafinitelengthcylindricaltransducerimmersedinwater.Thenumericalstudyconcernedwithelectricalimpedancesandbeampatternsofthetransducerispresented.Experimentaldataareshowntosupportthenumericalstudy.
简介:Thearticlepresentsanexplicitlystraightforwardformulationofthestationaryanddynamicbehaviourofapressurereliefvalve(PRV).Thisincludesananalyticalsolutionforthestaticp-Q-characteristic,thestepandharmonicresponseandastabilitycriterionusingelementaryoperationsonly.Italsomathematicallyprovestheintrinsicconnectionbetweenthegradientofthestaticp-Q-characteristicandthestability.Thus,thenewmethodoffersfourmainadvantages.
简介:Basedonthefundamentalideasconcerningmicrowaveattenuationinplasma,weobtainanewexpressionoftransmissionattenuationofmicrowavesasafunctionoftheincidentwavefrequency.Andwithreasonablehypothesis,analyticalformsoftheelectrondensityandtheelectron-neutralcollisionfrequencyarederivedfromtheequationsofthetransmissionattenuationofmicrowavesattwonearfrequencies.Thismethodgivesaneffectiveandeasyapproachtodiagnosetheunmagnetizedplasma.