简介:ThispaperdescribesanewphenomenonofacousticstreamingwhichtakesplacewhenaHelmholtzresonatorisexcitedbyaninsidesoundsourcewithresonantfrequency,andtakestheformofastrongturbulentjet.Theflowvisualizations,hotwireandLDVmeasurementsarecombinedtoinvestigatetheprocessofacousticstreaming.ItisfoundthatthiskindofacousticstreamingresultsfromthecontributionofReynoldsstress.
简介:Thepaperdiscusseshowtoreducehighersingularityorderofaboundaryintegralequation.Theapproachwillbediscussedinsomedetailforplaneelasticity.Numericalresultsforthemeshesofunequallengthboundaryelementsarereported.Higherprecisionforbothdeflectionandforceisobtainedthanthatobtainedwithageneralboundaryelementmethod.
简介:IncrementalalgorithmisoneofthemostpopularproceduresforconstructingDelaunaytriangulations(DTs).However,thepointinsertionsequencehasagreatimpactontheamountofworkneededfortheconstructionofDTs.Itaffectsthetimeforbothpointlocationandstructureupdate,andhencetheoverallcomputationaltimeofthetriangulationalgorithm.Inthispaper,asimpledeterministicinsertionsequenceisproposedbasedonthebreadth-first-searchonaKd-treewithsomeminormodificationsforbetterper-formance.Usingparentnodesassearch-hints,theproposedinsertionsequenceprovestobefasterandmorestablethantheHilbertcurveorderandbiasedrandomizedinsertionorder(BRIO),especiallyfornon-uniformpointdistributionsoverawiderangeofbenchmarkexamples.
简介:Thisinvestigationdiscussesfurthertheextenttowhichanewdamagetheoryrecentlyproposedbytheauthorcanserveasaunifiedtheorytocharacter-izevariousductilefailureproblems.Ageneraldamageintegralandcorrespondingcriterionforductilefracturearepresented.Anewparameterforductilefractureisemphasized,whichisexperimentallyverifiedasamaterialconstantindependentofstressstate,hasclearphysicalmeaning,andcaneasilybedetermined.Theapplica-bilityofthistheorytoevaluationoftheductilityofweldsandengineeringmaterialsundervariousconditionsisexamined.Also,itisusedtopredicttheeffectofresid-ualstressonfailureofwelds,topredictsheetforminglimits,andtocorrelatethevariabilityofelasto-plasticfracturetoughnessvaluesJ1candδcwithdifferentspec-imengeometries.Anewconstraintcorrectionmethodisproposed,andconstraintcorrectednewtoughnessparametersJdcandδdcarerecommended.Experimentshaveshownthatthetoughnessvariationwithdifferentspecimengeometriescanef-fectivelyberemovedbyuseofthemethod.Thegeneralapplicabilityofthetheorytocharacterizationofvariousductilefailuresprovidesanewdesigntoolforengineeringcomponentsorstructures.
简介:Thebasicrelationsinlinearisotropicphotoviscoelasticityhavebeentheoreticallydiscussedinde-tails.Anewroutinehasbeenfoundtoobtainthetime-dependentprincipalstresswithoutthemeasurementofisoclinics.Asatestofourmethod,examplesaregivenattheendofthispaper.
简介:Thecombinationoflaserdiffractionwithupstreamsamplingrealizedabreak-throughforthein-andon-lineparticlessizeanalysisinindustrialapplications.Today,thecombinationofrepresentativesampling,drydispersion,particlesizeanalysisbylaserdiffractionandintegratedfeedbackofthesampleiswellacceptedinmanyindustrialapplications.Nomoreinteractionsoftheuserarerequired,andforstandardapplicationstheon-linemonitoringofparticlesizesbecamenearlyassimpleasthernonitodngofanyotherprocessparameter.Theincreaseofinspectionintervalfrom24-houroperationtomonthshasincreaseduserconfidenceinthistechnology,andindustrieswithmoredemandingmeasurementrequirementsareseekingtobenefitfromthisperformance.Thischallengecouldnotbesolvedwithsimplescale-upsorscale-do,he.Newsolutionshadtobefoundforthesamplingsystem,themeasuringsensor,theadaptationtotheenvironmentalconditionsandtheprocessingoffeslgrowingvolumeofdata.
简介:Inordertoovercomethedifficultiescausedbysingularoptima,inthepresentpaper,anewmethodforthesolutionsofstructuraltopologyoptimizationproblemsisproposed.Thedistinctivefeatureofthismethodisthatinsteadofsolv-ingtheoriginaloptimizationproblemdirectly,weturntoseekingthesolutionsofasequenceofapproximatedproblemswhichareformulatedbyrelaxingtheconstraintsoftheoriginalproblemtosomeextent.Theapproximatedproblemcanbesolvedefficientlybyemployingthealgorithmsdevelopedforsizingoptimizationproblemsbecauseitssolutionisnotsingular.Itcanalsobeprovedthatwhentherelaxationparameteristendingtozero,thesolutionoftheapproximatedproblemwillconvergetothesolutionoftheoriginalproblemuniformly.Numericalexamplesillustratetheeffectivenessandvalidityofthepresentapproach.Resultsarealsocomparedwiththoseobtainedbytraditionalmethods.
简介:Anewsmoothgapfunctionfortheboxconstrainedvariationalinequalityproblem(VIP)isproposedbasedonanintegralglobaloptimalitycondition.Thesmoothgapfunctionissimpleandhassomegooddifferentiableproperties.TheboxconstrainedVIPcanbereformulatedasadifferentiableoptimizationproblembytheproposedsmoothgapfunction.Theconditions,underwhichanystationarypointoftheoptimizationproblemisthesolutiontotheboxconstrainedVIP,arediscussed.Asimplefrictionalcontactproblemisanalyzedtoshowtheapplicationsofthesmoothgapfunction.Finally,thenumericalexperimentsconfirmthegoodtheoreticalpropertiesofthemethod.
简介:Weprovideanalyticalsolutionstotheproblemsofacircularbendingofabeaminplanestrainandthetorsionofanon-circularcross-sectionbeam,thebeamsobeyingasecond-gradientelasticitylawproposedbytheauthor,followingaprevioussuggestionofdell'Isolaetal.(2009).Themotivationwastofindbenchmarkanalyticalsolutionsthatcanservetograspthephysicalfoundationsofsecondgradientelasticitylawsforheterogeneousmaterials.TheanalyticalsolutionofthecircularbeamproblempresentstheadditionaladvantagetoestablishsomenicepropertiesontheunknownsecondgradientelasticmoduliintroducedbyEnakoutsa(2014)modelandtheclassicalelasticityconstantsforbothincompressibleandcompressibleheterogeneouselasticmaterials.Aframeworktofindtheelasticmoduliofthenewmodelisalsoproposed.
简介:Aso-called“localprobabilisticParisrelationmethod”waspresentedformeasuringtherandomthresholdsoflongfatiguecrackpropagation.Acheckwasmadetotheconventionalmethod,inwhichthethresholdsweremeasuredstatisticallyanddirectlybythetestdata.Itwasrevealedthatthismethodwasnotreasonablebecausethetestdatahaveseldomaunifiedlevelofcrackgrowthrates.Differently,inthepresentedmethodtheParis-Erdoganequationwasappliedtomodelthelocaltestdataaroundthethresholds.Localprobabilisticrelationswithboththesurvivalprobabilityandtheconfidencewereestablishedonalognormaldistributionofthestressdensityfactors.Andthen,theprobabilisticthresholdswerederivedfromtheprobabilisticfactorswithagivencriticallevelofgrowthrate.AnanalysisonthetestdataofLZ50axlesteelfortheChineserailwayvehiclesverifiesthatthepresentmethodisfeasibleandavailable.
简介:Eddy-currentinversetechniqueisaveryimportantmethodtoreconstructtheshapeofflawsorcracks.Usingthedomainderivativeofthefar-fieldpatternforeddy-currentinverseproblemwithDirichletboundarycondition,anewalgorithmtorecovertheshapeofcrackswasconstructedandsomenumericalexamplesweregiven.Thealgorithmdemonstratesthatthealgorithmisfeasibleandcorrectforobtainingareasonablereconstructionofashapeofflawsorcracksfromthefar-fieldmeasurementseventhoughusinglessdataofdirectionsofincidenceandobservationsforfewerwavenumbersaregived.
简介:Bifurcationswithconstraintsareopenproblemsappearedinresearchonperiodicbifurcationsofnonlineardynamicalsystems,butthepresentsingularitytheorydoesn'tcontainanyanalyticalmethodsandresultsaboutit.Asthecomplementtosingularitytheoryandthefirststeptostudyonconstrainedbifurcations,herearegiventhetransitionsetsandpersistentperturbedbifurcationdiagramsof10elementarybifurcationofcodimensionnomorethanthree.
简介:ThespecificsignofReynoldsstressintheboundarylayeronaflatplateatzeroincidenceisnewlyinterpretedinpresentpaperbasedonthetheoryofvortex-inducedvortex.Itavoidssomeproblemsappearedinatraditionalexplanation,onthebasisofrelationshipbetweenmeanandfluctuatingflowsduetothetransportofmomentum.Throughtheanalysisoflocalflowfieldintheimmediateneighborhoodofwall,thecharacteristicsofReynoldsstressareidentifiedthroughintroducingturbulence-inducedsmall-scalestreamwiseeddiesabovetheflatplate.ThepositiveReynoldsstressistheoreticallyverified.AndsuchnewinterpretationillustratesthatthegenerationofReynoldsstress,aswellasfluctuatingvelocity,isintrinsicallyindependentofthemeanflow.Butitsspecificsignwouldbedeterminedbythemeanflowduetotheinertialforces.Otherfeatures,suchastheintensityrelationshipamongthreecomponentsoffluctuatingvelocity,arealsopresented.
简介:TheresultsofplaneturbulentwakegivenbyChouPeiyuanareconsideredasthefirstorderap-proximationandputintotheequationsofturbulentfluctuation.Theequationsaresolvednumericallywithintherangeofmicro-scalebymeansofspectrummethod.Thedouble,tripleandquadruplefluctuatingvelocitycorrelationsareobtainedbycomputation.Theyareingoodagreementwithexperimentalresults.
简介:Inthispaper,anewmethodoftopologicalcleanupforquadrilateralmeshispresented.Themethodfirstselectsapatchofmesharoundanirregularnode.Itthenseeksthebestconnectionoftheselectedpatchaccordingtoitsirregularvalenceusinganewtopologicaloperation:smallpolygonreconnection(SPR).Byreplacingtheoriginalpatchwithanoptimalonethathaslessirregularvalence,meshqualitycanbeimproved.Threeapplicationsbasedontheproposedapproachareenumerated:(1)improvingthequalityofaquadrilateralmesh,(2)convertingatriangularmeshtoaquadrilateralone,and(3)adaptingatrianglegeneratortoaquadrilateralone.Thepresentedmethodishighlyeffectiveinallthreeapplications.