简介：Thispaperisconcernedwithanumericalsolutionofhyperboliccoolingtowershell,aclassoffullnonlinearproblemsinsolidmechanicsofconsiderableinterestinengineeringapplications.Inthisanalysis,thepost-bucklinganalysisofcoolingtowershellwithdiscretefixedsupportandundertheactionofwindloadsanddeadloadisstudied.Theinfluencesofring-stiffeneroninstabilityloadarealsodiscussed.Inaddition,anewsolutionprocedurefornonlinearproblemswhichisthecombinationofloadincrementiterationwithmodifiedR-Care-lengthmethodissuggested.Finally,someconclusionshavingimportantsignificanceforpracticeengineeringaregiven.

简介：ThepresentpaperinvestigatesthedynamicresponseoffiniteTimoshenkobeamsrestingonasixparameterfoundationsubjectedtoamovingload.ItisforthefirsttimethattheGalerkinmethodanditsconvergencearestudiedfortheresponseofaTimoshenkobeamsupportedbyanonlinearfoundation.ThenonlinearPasternakfoundationisassumedtobecubic.Therefore,theefectsofthesheardeformablebeamsandthesheardeformationoffoundationsareconsideredatthesametime.TheGalerkinmethodisutilizedfordiscretizingthenonlinearpartialdifferentialgoverningequationsoftheforcedvibration.ThedynamicresponsesofTimoshenkobeamsaredeterminedviathefourth-orderRunge–Kuttamethod.Moreover,theefectsofdiferenttruncationtermsonthedynamicresponsesofaTimoshenkobeamrestingonacomplexfoundationarediscussed.ThenumericalinvestigationsshowsthatthedynamicresponseofTimoshenkobeamssupportedbyelasticfoundationsneedssuperhigh-ordermodes.Furthermore,thesystemparametersarecomparedtodeterminethedependenceoftheconvergencesoftheGalerkinmethod.

简介：Stabilityanddynamiccharacteristicsofaballbearing-rotorsystemareinvestigatedundertheeffectoftheclearanceintheballbearing.DifferentclearancevaluesareassumedtocalculatethenonlinearstabilityofperiodicsolutionwiththeaidoftheFloquettheory.Bifurcationandchaosbehaviorareanalyzedwithvariationoftheclearanceandrotationalspeed.Itisfoundthattherearethreeroutestounstableperiodicsolution.Theperiod-doublingbifurcationandthesecondaryHopfbifurcationaretwousualroutestoinstability.Thethirdrouteistheboundarycrisis,achaoticattractoroccurssuddenlyasthespeedpassesthroughitscriticalvalue.Atlast,theinstablerangesfordifferentinternalclearancevaluesaredescribed.Itisusefultoinvestigatethestabilitypropertyofballbearingrotorsystem.

简介：Anonlinearfiniteelement(FE)modelbasedondomainswitchingwasproposedtostudytheelectromechanicalbehaviorofferroelectricceramics.TheincrementalFEformulationwasimprovedtoavoidanycalculationinstability.Theproblemsofmeshsensitivityandconvergence,andtheefficiencyoftheproposednonlinearFEtechniquehavebeenassessedtoillustratetheversatilityandpotentialaccuracyofthesaidtechnique.Thenonlinearelectromechanicalbehavior,suchasthehysteresisloopsandbutterflycurves,offerroelectricceramicssubjectedtobothauniformelectricfieldandapointelectricpotentialhasbeenstudiednumerically.Theresultsobtainedareingoodagreementwiththoseofthecorrespondingtheoreticalandexperimentalanalyses.Furthermore,theelectromechanicalcouplingfieldsnear(a)theboundaryofacircularhole,(b)theboundaryofanellipticholeand(c)thetipofacrack,havebeenanalyzedusingtheproposednonlinearfiniteelementmethod(FEM).TheproposednonlinearelectromechanicallycoupledFEMisusefulfortheanalysisofdomainswitching,deformationandfractureofferroelectricceramics.

简介：Aniterationmethodofstatisticlinearization(IMSL)ispresented.Bythismethod,anequivalentlineartermwasformedingeometricrelationandthenanequivalentstiffnessmatrixfornonlinearterminvibrationequationwasestablished.Usingthemethodtosolvethestatisticlinearvibrationequations,theeffectofgeometricnonlinearityontherandomresponseofrotationalshellisobtained.

简介：

简介：TheexistenceofsolutionsforsystemsofnonlinearimpulsiveVolterraintegralequationsontheinfiniteintervalR+withaninfinitenumberofmomentsofimpulseeffectinBanachspacesisstudied.Someexistencetheoremsofextremalsolutionsareobtained,whichextendtherelatedresultsforthisclassofequationsonafiniteintervalwithafinitenumberofmomentsofimpulseeffect.Theresultsaredemonstratedbymeansofanexampleofaninfinitesystemsforimpulsiveintegralequations.

简介：

简介：OnthebasisofHamilton’sprincipleanddynamicversionofvonKàrmàn’sequations,thenonlinearvibrationandthermal-bucklingofauniformlyheatedisotropicannularplatewithacompletelyclampedouteredgeandafixedrigidmassalongtheinneredgearestudied.Byparametricperturbationandnumericaldifferentiation,thenonlinearresponseoftheplate-masssystemandthecriticaltemperatureinthemid-planeatwhichtheplateisinbuckledstateareobtained.Somemeaningfulcharacteristiccurvesanddatatablesaregiven.

简介：Themethodofnonlinearparabolizedstabilityequations(PSE)isappliedinthesimulationofvortexstructuresincompressiblemixinglayer.Thespatially-evolvingunstablewaves,whichdominatethevortexstructure,areinvestigatedthroughspatialmarchingmethod.Theinstantaneousflowfieldisobtainedbyaddingtheharmonicwavestobasicflow.TheresultsshowthatT-Swavesdonotkeepgrowingexponentiallyasthelinearevolution,theenergytransfertohighorderharmonicmodes,andthatfinallyallharmonicmodesgetsaturatedduetononlinearinteraction.Themeanflowdistortioninducedbythenonlinearinteractionbetweentheharmonicmodesandtheirconjugateharmonicones,makesgreatchangeoftheaverageflowandincreasesthethicknessofmixinglayer.PSEmethodscanwellcapturethetwo-andthree-dimensionallargescalenonlinearvortexstructuresinmixinglayerssuchasvortexroll-up,vortexpairing,andAvortex.

简介：Thispaperfirstanalyzesthefeaturesoftwoclassesofnumericalmethodsforglobalanalysisofnonlineardynamicalsystems,whichregardstatespacerespectivelyascontinuousanddiscreteones.Onbasisofthisunderstandingitthenpointsoutthatthepreviouslyproposedmethodofpointmappingundercellreference(PMUCR),haslaidaframeworkforthedevelopmentofatwoscalednumericalmethodsuitablefortheglobalanalysisofhighdimensionalnonlinearsystems,whichmaytaketheadvantagesofb...

简介：

简介：Ageneralizedhyperbolicperturbationmethodispresentedforhomoclinicsolutionsofstronglynonlinearautonomousoscillators,inwhichtheperturbationprocedureisimprovedforthosesystemswhoseexacthomoclinicgeneratingsolutionscannotbeexplicitlyderived.Thegeneralizedhyperbolicfunctionsareemployedasthebasisfunctionsinthepresentproceduretoextendthevalidityofthehyperbolicperturbationmethod.Severalstronglynonlinearoscillatorswithquadratic,cubic,andquarticnonlinearityarestudiedindetailtoillustratetheefficiencyandaccuracyofthepresentmethod.

简介：

简介：Inthispaperthefixedpointindexproblemforaclassofpositiveoperatorswithboundarycontrolconditionsisdiscussed,andsomesufficientconditionsforthefixedpointindextobeequalto1or0aregiven.Moreover,ageneralfixedpointtheoremofexpansionsandcompressionsforconeisobtained,whichgeneralizesandimprovesthecorrespondingresultsof[3,8,9].Asanapplication,weutilizetheresultspresentedabovetostudytheexistenceconditionsofpositivesolutionsofnonlinearintegralequationsmodellinginfectiousdiseases.

简介：在这份报纸，一条直接概率的途径(DPA)被介绍为能是任何一个的环境负担激动的非线性的系统提出并且解决时刻方程一静止或nonstationary随机过程。建议方法有的优点从起始的条件和相应外部刺激的统计特征直接获得回答时刻。首先，回答时刻方程直接基于DPA被导出，它完全独立于它?后来，关于关联的特定的假设都不刺激组织的/filtering途径被做。由在Gaussian闭合下面解决他们，回答时刻能被获得。随后，为时刻方程的数字答案的一个多尺度的算法被利用改进计算效率并且避免许多墙钟时间。最后，有蒙特卡罗(MC)模拟的结果的比较给好同意。而且，多尺度的算法的优点被一个设计例子也以效率表明。

简介：由考虑界面的损坏并且用变化原则的效果，有界面的损坏的把压成薄片的盘子的三维的非线性的动态管理方程向精确压力分析基于一般six-degrees-of-freedom塔板理论被导出。为有界面的损坏的一个简单地支持的把压成薄片的盘子的interlaminar应力和非线性的动态反应的答案被使用有限差别方法获得，并且结果被比较与非线性的有限元素方法的答案验证。在数字计算，在接口和把压成薄片的盘子的非线性的动态反应的压力上的界面的损坏的效果被讨论。

简介：Stochasticdynamicanalysisofthenonlinearsystemisanopenresearchquestionwhichhasdrawnmanyscholars'attentionforitsimportanceandchallenge.Fokker–Planck–Kolmogorov(FPK)equationisofgreatsignificancebecauseofitstheoreticalstrictnessandcomputationalaccuracy.However,practicaldifficultieswiththeFPKmethodappearwhentheanalysisofmulti-degree-offreedom(MDOF)withmoregeneralnonlinearityisrequired.Inthepresentpaper,byinvokingtheideaofequivalenceofprobabilityflux,thegeneralhigh-dimensionalFPKequationrelatedtoMDOFsystemisreducedtoone-dimensionalFPKequation.Thenacellrenormalizedmethod(CRM)whichisbasedonthenumericalreconstructionofthederivedmomentsofFPKequationisintroducedbycoarseningthecontinuousstatespaceintoadiscretizedregionofcells.ThenthecellrenormalizedFPK(CR-FPK)equationissolvedbydifferencemethod.Threenumericalexamplesareillustratedandtheeffectivenessofproposedmethodisassessedandverified.

简介：

简介：