简介:Basedonthegeneralconservationlawsincontinuummechanics,theEulerianandLagrangiandescriptionsofthejumpconditionsofshockwavesin3-dimensionalsolidswerepresentedrespectively.Theimplicationofthejumpconditionsandtheirrelationsbetweeneachother,particularlytherelationbetweenthemassconservationandthedisplacementcontinuity,werediscussed.Meanwhiletheshockwaveresponsecurvesin3-dimensionalsolids,i.e.theHugoniotcurveswereanalysed,whichprovidethefoundationforstudyingthecouplingeffectsofshockwavesin3-dimensionalsolids.
简介:Basedonthemultiplescatteringmethod,thispaperinvestigatesabenchmarkproblemofthepropagationofliquidsurfacewavesoverfinitegraphene(orhoneycomb)structuredarraysofcylinders.Comparingthegraphenestructuredarraywiththesquarestructuredandwithtrianglestructuredarrays,itfindsthatthefinitegraphenestructurecanproducemorecompletebandgapsthantheotherfinitestructures,andthefinitegraphenestructurehaslesslocalizedabilitythantheotherfinitestructures.
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简介:Byusingthematchedasymptoticexpansionmethodandtheideaofedgelayer,amathematicmodelfordescribingtheinteractionbetweenweaklynonlinearshallow-waterwavesandthree-dimensionalfloatingbodiesisformedinthepaper.Asanumericalexample,thediffractionofasolitarywavearoundaverticallyfloatingcir-cularcylinderhasbeeninvestigatedandtheresultsarepresented.Thepresentmethodcanfurtherbeextendedtothestudyofwavediffractionaroundfloatingbodiesofgeneralshape.
简介:我们调查在压电的分层的结构的起始的应力的效果装载了与的经分解粘滞爱的散、稀释的特征上的液体飘动,它包含薄压电的层完美地结合了到无界的有弹性的底层。在压电的层的起始的应力的效果并且粘滞爱波浪的阶段速度上的液体的系数被分析。数字结果被介绍并且讨论。分析方法和结果能为化学药品和biosensing液体传感器的设计是有用的。
简介:这份报纸面对一个电的偏导领域与内在的有限变丑在软electroactive柱体学习波浪繁殖。为electroelasticity和联系线性增长理论基于一个最近建议的非线性的框架,管理axisymmetric波浪的基本方程在柱体打手势,它受到同类预先拉长并且先存在的轴的电的排水量,当electroactive材料各向同性、不可压缩时,被介绍。准确波浪答案然后被导出以(修改)Bessel函数。为非线性的electroactive材料的一个原型模型,解说性的数字结果被给。这被显示出效果预先拉长并且电的偏导地能在波浪繁殖特征上是重要的。
简介:ThescatteringofLovewavesbyaninterfacecrackbetweenapiezoelectriclayerandanelas-ticsubstrateisinvestigatedbyusingtheintegraltransformandsingularintegralequationtechniques.Thedy-namicstressintensityfactorsoftheleftandtherightcracktipsaredetermined.Itisfoundfromnumericalcalculationthatthedynamicresponseofthesystemdependssignificantlyonthecrackconfiguration,thema-terialcombinationandthepropagatingdirectionoftheincidentwave.Itisexpectedthatspecifyinganappro-priatematerialcombinationmayretardthegrowthofthecrackforacertaincrackconfiguration.
简介:Themechanismfortransportingliquidfromthebottomofthepipetothetopstilltobeestablishedinthepredictionofthefilmthicknessdistributioninhorizontalannulartwo-phaseflow.Toresolvethisissue,usingfiveparallel-wireconductanceprobes,timerecordsoflocalliquidfilmthicknessatfivecircumferentialpositionswerecollected.Thecharacteristicsofcircumferentialliquidfilmthicknessprofilesanditsvariationwithgasandliquidvelocitieswereobtained.Thebasicfeaturesofprobabilitydistributionfunction,probabilitydensityfunction,auto-correlation,cross-correlationandpowerspectrumdensityfunctionofthedisturbancewavesinannularflowwerestudiedrespectively.Thecharactersticsofcircumferentialprofilesofdisturbancewavesanditsvariationwithgasandliquidvelocitieswerepresented.
简介:Hydrodynamicpropertiesandstructureofstrongshockwavesinclassicaldenseheliumaresimulatedusingnon-equilibriummoleculardynamicsmethods.Theshockspeedinthesimulationreaches100km/sandtheMachnumberisover250,whichareclosetotheparametersofshockwavesintheimplosionprocessofinertialconfinementfusion.Thesimulationsshowthatthehigh-Mach-numbershockwavesindensemediahavenotabledifferencesfromweakshockwavesorthoseindilutegases.Theseresultswillprovideusefulinformationontheimplosionprocess,especiallythestructureofstrongshockwavefront,whichremainsanopenquestioninhydrodynamicsimulations.
简介:WestudythegeneralizedDarbouxtransformationtothethree-componentcouplednonlinearSchr¨odingerequation.First-andsecond-orderlocalizedwavesareobtainedbythistechnique.Infirst-orderlocalizedwave,wegettheinteractionalsolutionsbetweenfirst-orderroguewaveandone-dark,one-brightsolitonrespectively.Meanwhile,theinteractionalsolutionsbetweenone-breatherandfirst-orderroguewavearealsogiven.Insecond-orderlocalizedwave,one-dark-one-brightsolitontogetherwithsecond-orderroguewaveispresentedinthefirstcomponent,andtwo-brightsolitontogetherwithsecond-orderroguewavearegainedrespectivelyintheothertwocomponents.Besides,weobservesecond-orderroguewavetogetherwithone-breatherinthreecomponents.Moreover,byincreasingtheabsolutevaluesoftwofreeparameters,thenonlinearwavesmergewitheachotherdistinctly.Theseresultsfurtherrevealtheinterestingdynamicstructuresoflocalizedwavesinthethree-componentcoupledsystem.
简介:Variouscosmologymodels,braneoscillationscenarios,interactionofinterstellarplasmawithintenseelectromagneticradiation,andevenhigh-energyphysicsexperiments(e.g.,LargeHadronCollider(LHC))allpredicthighfrequencygravitationalwaves(HFGWs,i.e.,high-energygravitons)inthemicrowavebandandhigherfrequencyregion,andsomeofthemhavelargeenergydensities.Electromagnetic(EM)detectiontosuchHFGWswouldbesuitableduetoveryhighfrequenciesandlargeenergydensitiesoftheHFGWs.WereviewseveraltypicalEMdetectionschemes,i.e.,inverseGertsenshteineffect(G-effect),couplingoftheinverseGeffectwithacoherentEMwave,couplingofplanarsuperconductingopencavitywithastaticmagneticfield,cylindricalsuperconductingclosedcavity,andtheEMsychro-resonancesystem,anddiscussrelatedminimaldetectableamplitudesandsensitivities.Furthermore,wegivesomenewideasandimprovementwaysenhancingthepossibilityofmeasuringtheHFGWs.ItisshownthatthereisstillalargeroomforimprovementforthoseschemestoapproachandevenreachuptherequirementofdetectionofHFGWsexpectedbythecosmologicalmodelsandhigh-energyastrophysicalprocess.
简介:Westudytheexistenceoftravelingwavesolutionsforanonlocalandnon-monotonedelayedreaction-difusionequation.Basedontheconstructionoftwoassociatedauxiliaryreactiondifusionequationswithmonotonicityandbyusingthetravelingwavefrontsoftheauxiliaryequations,theexistenceofthepositivetravelingwavesolutionsforc≥cisobtained.Also,theexponentialasymptoticbehaviorinthenegativeinfnitywasestablished.Moreover,weapplyourresultstosomereactiondifusionequationswithspatio-temporaldelaytoobtaintheexistenceoftravelingwaves.Theseresultscover,complementand/orimprovesomeexistingonesintheliterature.
简介:Thebasicequationsoffreecapillary-gravitysurface-wavesinacircularcylindricalbasinwerederivedfromLuke'sprinciple.TakingGalerkin'sexpansionofthevelocitypotentialandthefreesurfaceelevation,thesecond-orderperturbationequationswerederivedbyuseofexpansionofmultiplescale.Thenonlinearinteractionswiththesecondorderinternalresonanceofthreefreesurface-waveswerediscussedbasedontheabove.Theresultsinclude:derivationofthecoupleequationsofresonantinteractionsamongthreewavesandtheconservationlaws;analysisofthepositionsofequilibriumpointsinphaseplane;studyoftheresonantparametersandthenon-resonantparametersrespectivelyinallkindsofcircumstances;derivationofthestationarysolutionsofthesecond-orderinteractionequationscorrespondingtodifferentparametersandanalysisofthestabilitypropertyofthesolutions;discussionoftheeffectivesolutionsonlyinthelimitedtimerange.Theanalysismakesitclearthattheenergytransformationmodeamongthreewavesdiffersbecauseofthedifferentinitialconditionsundernontrivialcircumstance.Theenergymayeitherexchangeamongthreewavesperiodicallyordamporincreaseinsinglewaves.
简介:一个沥青钩子信号比正常发生背墙回响更敏感,这被发现纵在composites(损坏,纤维取向,低级的孔,厚度起浪,和裂缝)向微妙的aw条件招手。力量和僵硬在composites取决于纤维取向和孔体积。合成结构的孔内容一般来说对结构的力量和表演批评。沥青钩子信号来自在哪儿的采样体积的深度与白热化的缩小的瑞利探针是相对浅的,但是深度能被增加播送并且收到的探针的分离距离增加。另外,一个方法被利用由处理laminate的显微图图象决定合成上篮的孔内容。一个自由软件包裹被利用处理测试样品的显微图图象。从处理方法的图象的结果与存在数据相比。横梁侧面在单向性的CFRP被描绘(碳纤维增强了塑料)用沥青钩子瑞利,探针和片面沥青钩子技术被利用在自动扫描仪的帮助下生产C扫描图象。
简介:Wepresentsecond-orderexpressionsforthefree-surfaceelevation,velocitypotentialandpressureresultingfromtheinteractionofsurfacewavesinwaterofarbitrarydepth.Whenthesurfacewaveshavenearlyequalfrequenciesandnearlyoppositedirections,asecond-orderpressurecanbefeltallthewaytotheseabottom.Thereareatleasttwoareasofapplications:reflectivestructuresandmicroseisms.Microseismsgeneratedbywaterwavesintheoceanaresmallvibrationsofthegroundresultingfrompressureoscillationsassociatedwiththecouplingofoceansurfacegravitywavesandtheseafloor.Theyarerecordedonland-basedseismicstationsthroughouttheworldandtheyaredividedintoprimaryandsecondarytypes,asafunctionofspectralcontent.Secondarymicroseismsaregeneratedbytheinteractionofsurfacewaveswithnearlyequalfrequenciesandnearlyoppositedirections.Theefficiencyofmicroseismgenerationthusdependsinpartonoceanwavefrequencyanddirection.Basedonthesecond-orderexpressionsforthedynamicpressure,asimpletheoreticalanalysisthatquantifiesthedegreeofnearnessinamplitude,frequency,andincidenceangle,whichmustbereachedtoobservethephenomenon,ispresented.