简介：The1/3subharmonicsolutionfortheDuffing'sequationisinvestigatedbyusingthemethodsofharmonicbalanceandnumericalintegration.Thesensitivityofparametervariationforthetransientprocessandthetransientprocessfortheperturbanceinitialconditionsarestudied.Overandabove,theprecisionofnumericalintegrationmethodisdiscussedandthenumericalintegrationmethodiscomparedwiththeharmonicbalancemethod.Finally,asymptoticalstabilityofthepuresubharmonicoscillationselementisinspected.

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简介：Becausemostpiezoelectricdeviceshaveinterfaceswithfluidinengineering,itisvaluabletostudythecoupledfieldbetweenfluidandpiezoelectricmedia.Asthefundamentalproblem,the3DGreen'sfunctionsforpointforcesandpointchargeloadedinthefluidandpiezoelectricbimaterialsarestudiedinthispaper.Basedonthe3Dgeneralsolutionsexpressedbyharmonicfunctions,weconstructedthesuitableharmonicfunctionswithundeterminedconstantsatfirst.Then,thecouplefieldinthefluidandpiezoelectricbimaterialscanbederivedbysubstitutionofharmonicfunctionsintogeneralsolutions.Theseconstantscanbeobtainedbyvirtueofthecompatibility,boundary,andequilibriumconditions.Atlast,thecharacteristicsoftheelectromechanicalcoupledfieldsareshownbynumericalresults.

简介：ForthefamousFeigenbaum’sequations,inthispaper,weestablisheditsconstructivetheoremofthepeak-unimodal,thenwefoundoutotherpathstoexplorethepeak-unimodalsolutions.Forexample,weproceedonthedirectiontotrythenon-symmetricalcontinuouspeak-unimodalsolutionsandC~1solutions.

简介：ThispaperpresentsaclosedformsolutionandnumericalanalysisforEshelby’sellipticinclusioninaninfiniteplate.Thecomplexvariablemethodandtheconformalmappingtechniqueareused.Thecontinuityconditionsforthetractionanddisplacementalongtheinterfaceinthephysicalplanearereducedtothesimilarconditionsalongtheunitcircleofthemappingplane.Thepropertiesofthecomplexpotentialsdefinedinthefiniteellipticregionareanalyzed.Fromthecontinuityconditions,onecanseparateandobtaintherelevantcomplexpotentialsdefinedintheinclusionandthematrix.Fromtheobtainedcomplexpotentials,thedependenceoftherealstrainsandstressesintheinclusionfromtheassumedeigenstrainsisevaluated.Inaddition,thestressdistributionontheinterfacealongthematrixsideisevaluated.Theresultsareobtainedinthepaperforthefirsttime.

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简介：针对采用旋转四元数误差进行的组合导航误差建模中状态方程的非线性化问题,提出一种新的惯性/天文组合姿态组合算法,以姿态加性四元数误差和陀螺漂移为状态变量,推导系统线性化状态方程,并以天文导航和惯导姿态四元数之差为量测量,建立系统量测方程,然后利用卡尔曼滤波实现对该组合模式的信息融合,仿真分析表明,所设计的基于姿态四元数误差和陀螺漂移的组合模式能够有效估计系统状态误差,姿态误差0.02°左右,验证了其有效性,可避免较为复杂的非线性滤波器的使用,为工程实践提供了理论支持。

简介：Afewadditionaldatafromourpreviousexperimentswereplottedtoemphasizetheshear-thickeningbehaviorofdeoxysickleerythrocyte(SS)suspension.Aconstitutiveequation(namedasFXequation)wasdevelopedandappliedtoacylindricalpipeflowofashear-thickeningfluid.Abluntvelocityprofileanditsvolumeflowratewerecalculated.Theflowwasnon-viscous(potential)inthecentralpartofthepipe(i.e.thecentralcoreorthecentralplug-flow),andbecamemoreandmoreviscoustowardsthewallofthepipeafteraspecificradialdistance,whichwasdeterminedbyacriticalshearrateofγF(namedasFung'sshearrate).Furthermore,combiningtheFXequationwiththeoriginalCasson'sequation,theauthorobtainedamodifiedCasson'sequationbyintroducingγF.

简介：Whenanaircraftishoveringordoingadive-hikeflightatafixedspeed,aconstantadditionalinertialforcewillbeinducedtotherotorsystemoftheaero-engine,whichcanbecalledaconstantmaneuverload.Takehoveringasanexample.AJeffcottrotorsystemwithabiasedrotorandseveralnonlinearelasticsupportsismodeled,andthevibrationcharacteristicsoftherotorsystemunderaconstantmaneuverloadareanalyticallystudied.Byusingthemultiple-scalemethod,thedifferentialequationsofthesystemaresolved,andthebifurcationequationsareobtained.Then,thebifurcationsofthesystemareanalyzedbyusingthesingularitytheoryforthetwovariables.IntheEG-plane,whereEreferstotheeccentricityoftherotorandGrepresentstheconstantmaneuverload,twohysteresispointsetsandonedoublelimitpointsetareobtained.Thebifurcationdiagramsarealsoplotted.Itisindicatedthattheresonanceregionsofthetwovariableswillshifttotherightwhentheaircraftismaneuvering.Furthermore,themovementalongthehorizontaldirectionisfasterthanthatalongtheverticaldirection.Thus,thedifferentoverlappingmodesofthetworesonanceregionswillbringaboutdifferentbifurcationmodesduetothenonlinearcouplingeffects.Thisresultlaysatheoreticalfoundationforcontrollingthestabilityoftheaero-engine’srotorsystemunderamaneuverload.

简介：Wavepropagationanalysisforafunctionallygradednanobeamwithrectangularcross-sectionrestingonvisco-Pasternak'sfoundationisstudiedinthispaper.Timoshenko'sbeammodelandnonlocalelasticitytheoryareemployedforformulationoftheproblem.TheequationsofmotionarederivedusingHamilton'sprincipalsbycalculatingkineticenergy,strainenergyandworkduetoviscoelasticfoundation.Theeffectsofvariousparameterssuchaswavenumber,non-homogeneousindex,nonlocalparameterandthreeparametersoffoundationareperformedonthephasevelocityofthenanobeam.Theobtainedresultsindicatethatsomeparameterssuchasnon-homogeneousindex,nonlocalparameterandwavenumberhavesignificanteffectontheresponseofthesystem.

简介：Head-oncollisionbetweentwohydroelasticsolitarywavespropagatingatthesurfaceofanincompressibleandidealfluidcoveredbyathinicesheetisanalyticallystudiedbymeansofasingularperturbationmethod.TheicesheetisrepresentedbythePlotnikov-TolandmodelwiththehelpofthespecialCosserattheoryofhyperelasticshellsandtheKirchhoff-Loveplatetheory,whichyieldsthenonlinearandconservativeexpressionforthebendingforces.TheshallowwaterassumptionistakenforthefluidmotionwiththeBoussinesqapproximation.TheresultinggoverningequationsaresolvedasymptoticallywiththeaidofthePoincar-Lighthill-Kuomethod,andthesolutionsuptothethirdorderareexplicitlypresented.Itisobservedthatsolitarywavesaftercollisiondonotchangetheirshapesandamplitudes.Thewaveprofileissymmetricbeforecollision,anditbecomes,aftercollision,unsymmetricandtitledbackwardinthedirectionofwavepropagation.Thewaveprofilesignificantlyreducesduetogreaterimpactsofelasticplateandsurfacetension.Agraphicalcomparisonispresentedwithpublishedresults,andthegraphicalcomparisonbetweenlinearandnonlinearelasticplatemodelsisalsoshownasaspecialcaseofourstudy.

简介：AmethodoflocalizationisproposedtolowerthehighorderofequationsinFEMcalcula-tionforthestabilityofacomplexthin-walledstructure.Thelocalizedanalysisenablesustoobtainboththeupperandlowerlimitsforthebifurcatingpointinawholelinearelasticstructuralsystem,aswellasanap-proximatesolutiontoasymptoticpost-bucklingproblem.Somenumericalexamplesareincluded.

简介：ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｅｓｕｂｔｒｏｐｉｃａｌａｎｔｉｃｙｃｌｏｎｅ（ｓｕｂｔｒｏｐｉｃａｌｈｉｇｈ）ｏｖｅｒＥａｓｔ＿Ａｓｉａｒｅｇｉｏｎｉｓａｎｉｍｐｏｒｔａｎｔｓｙｎｏｐｔｉｃｓｙｓｔｅｍｉｎｆｌｕｅｎｃｉｎｇｔｈｉｓｒｅｇｉｏｎ’ｓｗｅ...

简介：Thepressuredropacrossalaboratory-scalecatalystpackedbedwithmechanicalfailureofcatalystpelletshasbeenexamined.ItwasfoundthattheincreasedpressuredropcanbedescribedbyasimplifiedmodeldeducedfromErgun'sequation.Thepressuredropisdeterminedmainlybythetermofviscousenergyloss.

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简介：Thispapergeneralizesthesingle-shellKidder'sself-similarsolutiontothedouble-shellonewithadiscontinuityindensityacrosstheinterface.AnisentropicimplosionmodelisconstructedtostudytheRayleigh-Taylorinstabilityfortheimplosioncompression,AGodunov-typemethodintheLagrangiancoordinatesisusedtocomputetheone-dimensionalEulerequationwiththeinitialandboundaryconditionsforthedouble-shellKidder'sself-similarsolutioninsphericalgeometry.Numericalresultsareobtainedtovalidatethedouble-shellimplosionmodel.Byprogrammingandusingthelinearperturbationcodes,alinearstabilityanalysisontheRayleigh-Taylorinstabilityforthedouble-shellisentropicimplosionmodelisperformed.Itisfoundthat,whentheinitialperturbationisconcentratedmuchclosertotheinterfaceofthetwoshells,orwhenthesphericalwavenumberbecomesmuchsmaller,themodalradiusoftheinterfacegrowsmuchfaster,i.e.,moreunstable.Inaddition,fromthespatialpointofviewforthecompressibilityeffectontheperturbationevolution,thecompressibilityoftheoutershellhasadestabilizationeffectontheRayleigh-Taylorinstability,whilethecompressibilityoftheinnershellhasastabilizationeffect.

简介：pearlitic钢与随机的取向由众多的pearlitic殖民地组成，并且每个殖民地由铁酸盐和渗碳体的许多平行薄片组成。这种材料的组成的行为可以包含两固有的anisotropy，塑料变丑导致anisotropy。对为这种双阶段的材料的周期的粘性的描述被一个基于微观结构的组成的模型的使用为一个pearlitic殖民地，和山为椭圆体的包括合并各向异性的Eshelby张肌的前後一致的计划建议。相应数字算法被开发。pearlitic钢BS11和单相的冷抽的铜的回答使遭到了到一相称性地周期的装载被分析。分析结果与试验性的同意很好。与用各向同性的Eshelby张肌的结果相比，各向同性的近似能以一个简单得多的方法提供可接受的全面回答，这被显示出。

简介：DrivenbycuriosityaboutpossibleflightoptionsfortheChang’e-2spacecraftafteritremainsattheSun-EarthL2point,effectiveapproachesweredevelopedfordesigningpreliminaryfuel-optimalnear-Earthasteroidflybytrajectories.Theapproachesincludetheuseofmodifiedunstablemanifolds,gridsearchofthemanifolds’parameters,andatwo-impulsemaneuverfororbitalphasematchingandz-axisbiaschange,andaredemonstratedtobeeffectiveinasteroidtargetscreeningandtrajectoryoptimization.Asteroidflybysareexpectedtobewithinadistanceof2×107kmfromtheEarthowingtotheconstrainedEarth-spacecraftcommunicationrange.Inthiscase,thespacecraft’sorbitalmotionissignificantlyaffectedbythegravitiesofboththeSunandtheEarth,andtherefore,theconceptofthe"heliocentricoscillating-Keplerorbit"isproposed,becausetheclassicalorbitalelementsoftheflybytrajectoriesreferencedintheheliocentricinertialframeoscillatesignificantlywithrespecttotime.Theanalysisandresultspresentedinthisstudyshowthat,amongtheasteroidswhoseorbitsarethemostaccuratelypredicted,"Toutatis","2005NZ6",or"2010CL19"mightbeencounteredbyChang’e-2inlate2012or2013withtotalimpulseslessthan100m/s.

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