简介:
简介:AmeshlessapproachtoanalysisofarbitraryKirchhoffplatesbythelocalboundaryintegralequation(LBIE)methodispresented.Themethodcombinestheadvantageousfeaturesofallthethreemeth-ods:theGalerkinfiniteelementmethod(GFEM),theboundaryelementmethod(BEM)andtheelement-freeGalerkinmethod(EFGM).Itisatrulymeshlessmethod,whichmeansthatthediscretizationisinde-pendentofgeometricsubdivisionintoelementsorcells,butisonlybasedonasetofnodes(orderedorscat-tered)overadomaininquestion.Itinvolvesonlyboundaryintegration,however,overalocalboundarycen-teredatthenodeinquestion;Itposesnodifficultiesinsatisfyingtheessentialboundaryconditionswhileleadingtobandedandsparsesystemmatricesusingthemovingleastsquare(MLS)approximations.Itisshownthathighaccuracycanbeachievedforarbitrarygeometriesforclampedandsimply-supportededgeconditions.Themethodisfoundtobesimple,efficient,andattractive.
简介:ThecharacteristicsoftheTriassicsequencesdevelopedintheLowerYangtzeareadisplaysomegreatchangesinbothenvironmentandclimate.Thechangeofenvironmentwasatransitionfrommarinetocontinentviaalternatingenvironments.Thechangeofclimatewasatransitionfromtropic(torrid)towarmandwetclimateviasubtropicdryclimate.Thetypevariationsofthesequenceswerefromthemarinesequencestothecontinentalsequences,correspondingtothechangesofenvironmentsandclimates.Sequence1isatypeⅡofsequenceofmixedclasticandcarbonatesediments;sequence2isatypeⅠofsequenceofcarbonateplatform;sequence3isatypeⅠofsequenceofcarbonatetidalflat-saltlagoon,sequence4isatypeⅡofsequenceoflacustrinewithinmarinelayers,andsequence5isasequenceoflacustrine-swamp.Thedevelopment,distributionandpreservationofthosesequencesrevealthetectoniccontrolsandtheirchangesinthebackground.ThecollisionbetweentheYangtzeplateandtheNorthChinaplatewasagreatgeologicaleventinthegeologicalhistory,butthetimingofthecollisionisstilldisputed.However,thecharacteristicsofTriassicsequencestratigraphyandsealevelchangesintheLowerYangtzearearespondedtothiscoliision.ThecollisionstartedatthebeginningofmiddleTriassicandthegreatregressionintheLowerYangtzeareastarted22Maearlierthanthoseintheworld.Thetectonicconditionsoccurredbeforeandduringthecollisioncontrolledthedevelopmentofsequencesandtypechanges.
简介:Hydrodynamiccharactersonahorizontal,thin,rigidplatelocatedbeneaththefreesurfacearenumericallyinvestigated.Assumingalinear,time-harmonicpotentialflowandutilizingGreenidentity,thegoverningLaplaceequationcanbesimplifiedintoFredholmintegralequationofthesecondkind.Supposinglinear-orderdiscontinuouselementsalongintersectingverticalboundaries,andbyuseoftheboundaryelementmethod,numericalsolutionaboutsourcestrengthdistributionontheplatecanbechangedintoaseriesofalgebraicequations.The3DGreenfunctionisintroducedtosetuptheintegralequations,andtheGMRESsolverisperformedforsolvingthelargedenselinearsystemofequations.Theadded-mass,dampingforceandexcitingforceareevaluateddirectlyfromtheequations.Itisfoundthattheadded-masscoefficientbecomesnegativeforarangeoffrequencieswhentheplateissufficientlyclosetothefreesurface.
简介:这篇论文论述一个有弹性地连接的双板系统的免费、强迫的横过的颤动的分析、数字的分析。联合部分微分方程的一个系统的分析答案,描述相应动态免费、强迫的过程,用Bernoulli的特别积分和Lagrange变化常数的方法被获得。因为强迫的颤动由一个频率导致了外部刺激和相应起始的条件,一个模式颤动才为起始的条件并且到三频率的政体导致的免费颤动对应于二频率的政体。分析解决方案证明在盘子之间的有弹性的连接导致时间功能的二频率的政体的外观,它对应于一个模式的一个eigenamplitude函数,并且也,时间不同颤动模式工作,这为颤动的每形状被解开。它为两块有弹性地连接的板被证明了那,为每m和n,为回声的外观的二可能性动态状态,以及为动态吸收的外观,是在场的。用MathCad程序,整个时间的板中间表面的典型形式的相应可视化被介绍。
简介:Afinitedifference/boundaryintegralproceduretodeterminetheacousticreflectedpressurefromafluid-loadedbi-laminatedplateisdescribed.Thebi-laminateiscomposedofapiezoelectriclayerandanelasticlayerincontactwiththefluid,andisheldbyanacousticallyhardbaffle.Inthenumericalmodel,thefluidpressureatfluid/solidinterfaceisreplacedbyacontinuumofpointsourcesweightedbythenormalaccelerationoftheelasticplate,andthegoverningequationsystemissolvedinthesoliddomain.Withthenormalaccelerationfound,thereflectedpressureinthefluidisdeterminedbyanintegralexpressioninvolv-ingtheGreen’sfunction.Itisdemonstratedthatanappropriateappliedvoltagepotentialacrossthepiezoelec-triclayerhastheeffectofcancellingeitherthereflectedorscatteredpressureoftheplateatanychosenfieldpointsinthefluid.
简介:Aspectroscopicmethodtodeterminethicknessofquartzwaveplateispresented.Themethodisbasedonchromaticpolarizationinterferometry.Withthepolarization-resolvedtransmissionspectrum(PRTS)curve,thephaseretardationofquartzwaveplatecanbedeterminedatawidespectralrangefrom200to2000nmobviously.ThroughaccuratejudgmentofextremepointsofPRTScurveatlong-waveband,thephysicalthicknessofquartzwaveplatescanbeobtainedexactly.Wegiveameasuringexampleandtheerroranalysis.Itisfoundthatthemeasuringprecisionofthicknessismainlydeterminedbythespectralresolutionofspectrometer.
简介:Thepressurereflectedfromabi-laminatedpiezoelectricplatehasbeendeterminedusingtheThomson-Haskellmatrixmethod.Theplateiscomposedofapiezoelectriclayerwithgroundedvacuumandanelasticlayerincontactwiththefluid.Anincidentplanewaveinthefluidmediumstrikestheplateatdif-ferentangles.Therequiredelectricpotentialacrossthepiezoelectriclayertocancelthereflectionfromthefluid/elasticboundaryhasbeendeterminedforthepiezoelectricmaterialPZT-5atvariousthicknessparame-lersandincidentfrequencies.
简介:Inthispaper,thep-versionofthefiniteelementmethodoflines(FEMOL)fortheanalysisoftheMindlin-Reissnerplatebendingproblemsispresentedandaclassofp-FEMOLelementswithpolynomialdegreesashighasnineisdeveloped.Numericalexamplesgiveninthispapershowtremendousperformanceofthepresentmethod;namely,rapidconvergencerate,highaccuracyforbothdisplacementsandstressresultants,removalofshear-lockingtrouble,capabilityofdealingwithdifficultproblemssuchastheboundarylayerbehaviornearafreeedgeandstressconcentrationaroundahole.
简介:ThispaperpresentsthecontemporarymotionandactivedeformationofSouthAmericaplateandrelativemotionofNazca-SouthAmericaplateusingspacegeodeticdata.TheSouthAmericaplateismovingataverage14.5mm/awithanazimuthof15.2°andshrinkinginthewest-eastat10.9mm/a.ThegeodeticdeformationsofsiteswithrespecttotheSouthAmericaplateareinquitegoodagreementwiththeestimateddeformationsfromNNR-NUVEL1A,butthedeformationofthewesternSouthAmericaregionsisverylarge.
简介:Akindofcalculatingmethodforhighorderdifferentialsexpandedbythewaveletscal-ingfunctionsandtheintegraloftheirproductusedinGalerkinFEMisproposed,sothatwecanusethewaveletGalerkinFEMtosolveboundary-valuedifferentialequationswithordershigherthantwo.TocombinethismethodwiththeGeneralizedGaussianintegralmethodinwavelettheory,wecanfindthatthismethodhasmanymeritsinsolvingmechanicalproblems,suchasthebendingofplatesandthosewithvariablethickness.Thenumericalresultsshowthatthismethodisaccurate.
简介:Thedynamicdeformationofharmonicvibrationisusedastheshapefunctionsofthefiniteannularplateelement.andsomeintegrationdifficultiesrelatedtotheBessel’sfunctionsaresolvedinthispaper.Thenthedynamicstiffnessmatrixofthefiniteannularplateelementisestablishedinclosedformandcheckedbythedirectstiffnessmethod.Thepaperhasgivenwideconveragefordecomposingthedynamicmatrixintothepowerseriesoffrequencysquare.Byutilizingtheaxialsymmetryofannular,themodeswithdifferentnumbersofnodaldiametersareseparatelytreatedThussometerseandcompleteresultsareobtainedasthe.foundationofstructuralcharacteristicanalysisanddynamicresponsecomputation.
简介:TheapproachofutilizingcombustionsynthesistomakefineparticlesofSiO2,Al2O3andTiO2isaquitemoderntechnology.Throughthechemicalreactioninpost-flameregion,fineSiO2particlescanbeformedwithhighpurityonplatesurface.Therefore,thecombustionsynthesisofSiO2powdersisanimportantareaforfurtherresearchanddevelopment,especiallyfortheapplicationofSiO2inthesemiconductorindustry.Thisinvestigationproposesanexperimentalapproach(i.e.,agas-phasecombustionsynthesis)usingtwodifferentkindsoforganiccompounds,Hexamethyldisilazane(HMDSA)andHexamethyldisioxane(HMDSO),asthesiliconprecursors.ApremixedgasburnerischosenwithC3H8asfuel,airasoxidantandpartoftheairwasusedasthecarryinggastoentrainHMDSA/HMDSOvaporintothecombustiblemixture.ObservationsshowthattheC3H8/airflamechangedcolorfromapale-blueflametolightyellowandthenorangewhendifferentamountsofprecursorswereintroduced.Throughthechemicalreactioninthepost-flameregion,fineSiO2particleswereformedinthegasphaseandthenquenchedandcollectedonanaluminumflatplate.TheobjectiveofthispaperistostudytheeffectsofHMDSOandHMDSAconcentrationsandflametemperaturesonthesynthesisofSiO2particles.
简介:AnewstabilizedfiniteelementmethodwhichisdifferentfromHughesandFranco’s(1988)ispresentedfortheReissner-Mindlinplatemodel.Theleastsquaremesh-dependentresidualformoftheshearconstituteequationisaddedtothePartialProjectionschemetoenhancethestability.Usingpiecewisepolynomialsoforderk≥1fortherotations,oforderk+1forthedisplacementandoforderk-1fortheshear,thekthordererror-estimatesareobtained.Besides,ourcomputingschemecanbealsoappliedtosomelowerorderelements.Allerror-estimatesareobtainedindependentoftheplatethickness,andthestabilityparameterisanarbitrarypositiveconstant.
简介:ByapplyingtheHeavisidefunction,theequationsgoverninglaminatedplatespossess-ingspatiallydistributedpiezoelectricpatcheshavebeenestablished.Basedontheseequations,staticshapecontroloflaminatedplatesisdiscussed.Byusingageneticandcollocationalgorithm,theopti-mallocationsandscalesofthesepiezoelectricpatcheshavebeenselected.Numericalexamplesarepre-sentedtoillustratetheefficiencyofthealgorithmandthepiezoelectricactuators.