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

简介：Byusingthebifurcationtheoryofdynamicalsystemstothecouplednonlinearwaveequations,theexistenceandstabilityofperiodicwavesolutionsbyHopfbifurcationsareobtained.Theoryoftravellingwavewasappliedtotransformakindofcouplednonlinearwaveequationsintothree-dimensiondynamicalsystems.Underdifferentparametricconditions,varioussufficientconditionstoguaranteetheexistenceandstabilityoftheabovesolutionsaregiven.

简介：Inthepaperthewaveattenuationinatwolayerfluidsystemisstudied.ThefluidinthetoplayerisidealandthatinthelowerlayeristheVoigtmodeloftheviscoelasticmedium.Adispersionrelationisderivedandtherateofthewavedecayiscomputed.Theapproximateexplicitexpressionsofthedecayratefordifferentwaterdeptharegiven,wheretheviscoelasticityiseitherverylargeorverysmall.Comparedwiththenumericalresults,ourresultsareveryaccurate,whichcanbeusedbyanengineer.

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简介：Onthebasisofthemedicalandmechanicalanalysisandexplanationsinthispaperthevisco-elasticsimplysupportedbeammodelisproposedtotreatthedisplacementwaveofthebloodvessels.Therelationshipsbetweenthedisplacementwaveandbloodvesselelasticityaswellastheviscousdissipationofthebloodandbloodvesselareobtained.ThecorrespondingrelationsofsuchkindsofpulsesinthetraditionalChinesemedicineassmoothpulse,surfacepulseanddeeppulsetothedisplacementwavesofbloodvesselsarealsofound.Thecomputationalresultsareingoodagreementwiththoseacquiredintheexperimentswithultrasonicwave.

简介：Wavelettransformisaparticularlyusefultooltocharacterizetran-sientphenomenasuchaswavebreaking.Inthispaper,weapplywavelettransformtothedetectionandquantificationofthebreakingwaves.Weuseanewmethodthatusesthelocalpropertiesofwavelettransformtodetectandquantifythebreak-ingwavesandgivesomenewbreakingcriteria.Bycomparingthismethodwiththeclassicmethod,wefindthatwavelettransformisveryeffectiveinthedetectionofbreakingwaves.Withwavelettransform,asetofmeasuredwindwavedataisinves-tigated.Theresultshaverevealedsomepreviouslyunknownphenomenaaboutwavebreaking.

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简介：InthispaperweextendthemethoddevelopedinforlimitingStokeswaveofinfinitewaterdepthtocoverthecaseoffinitedepth.Themethodhashighefficiencyandtheresultisaccurate.

简介：Withanincreasingemphasisonrenewableenergyresources,wavepowertechnologyisbecomingoneoftherealisticsolutions.However,the2011tsunamiinJapanwasaharshreminderoftheferocityoftheocean.Itisknownthattsunamisarenearlyundetectableintheopenoceanbutasthewaveapproachestheshoreitsenergyiscompressed,creatinglargedestructivewaves.Thequestionposedhereiswhetheranoscillatingwavesurgeconverter(OWSC)couldwithstandtheforceofanincomingtsunami.Severaltoolsareusedtoprovideananswer:ananalytical3Dmodeldevelopedwithintheframeworkoflineartheory,anumericalmodelbasedonthenon-linearshallowwaterequationsandempiricalformulas.Numericalresultsshowthatrun-upanddraw-downcanbeamplifiedundersomecircumstances,leadingtoanOWSClyingondryground!

简介：SomeofthemainprogressontheinvestigationofthemechanismofthewaveformationinexplosiveweldingattheInstituteofMechanicsissummarizedandotters’previousworksarere-viewed.OursystematicexperimentsandanalysisdonotsubstantiatethetheoryofwaveformationbasedonKarmanvortex-streetanalogyorHelmholtzinstability.Onthecontrary,theyshowthatmateri-alstrengthinsensitivetostrainrateplaysanimportantrole.Asimplehydro-plasticmodelispresentedtoexplainthemainfeaturesregardingtheinterracialwaveformationandtoestimatethemagnitudeofwavelength.Theresultisinbroadagreementwithexperiment.

简介：在电子上控告的喷气的非线性的不稳定性用描述一口液体喷气拉长并且变瘦的管理电镀物品水动力学方程被学习。到空间和时间演变骚乱的一个喷气流动系统题目被考虑。在线性阶段，瑞利和进行的喷气流动不稳定性模式被揭开。在流动的非线性的不稳定性经由三个一组被探索揭开的反响的波浪fa-vorable操作模式不以前在这个问题的线性学习检测了。特别地，喷气半径显著地被减少，并且喷气的电场在非线性的学习下面是适当地面向的。考虑回声三个一组模式提供对由于正切的电场效果拉长并且变瘦的一口喷气的更好数学的描述，这被发现。在喷气流动系统的线性、非线性的不稳定性结果被介绍并且讨论。

简介：Thelongitudinaloscillationofanonlinearelasticrodwithlateralinertiawasstudied.Basedonthefarfieldandsimplewavetheory,anonlinearSchrodinger(NLS)equationwasestablishedundertheassumptionofsmallamplitudeandlongwavelength.ItisfoundthatthereareNLSenvelopsolitonsinthissystem.FinallythesolitonsolutionoftheNLSequationwaspresented.

简介：AfastadaptivesymplecticalgorithmnamedMultiresolutionSymplecticScheme(MSS)wasfirstpresentedtosolvetheproblemofthewavepropagation(WP)incomplexmedia,usingthesymplecticschemeandDaubechies'compactlysupportedorthogonalwavelettransformtorespectivelydiscretisethetimeandspacedimensionofwaveequation.TheproblemwassolvedinmultiresolutionsymplecticgeometryspaceundertheconservativeHamiltoniansystemratherthanthetraditionalLagrangesystem.Duetothefascinatingpropertiesofthewaveletsandsymplecticscheme,MSSisapromisingmethodbecauseoflittlecomputationalburden,robustnessandrealityoflong-timesimulation.

简介：Bytakinginfiniteperiodicbeamsasexamples,themutualvariationalprincipleforanalyzingthefreewavepropagationinperiodicstructuresisestablishedanddemonstratedthroughtheuseofthepropaga-tionconstantinthepresentpaper,andthecorrespondinghierarchicalfiniteelementformulationisthende-rived.Thus,itprovidesthenumericalanalysisofthatproblemwithafirmtheoreticalbasisofvariationalprin-ciples,withwhichonemayconvenientlyillustratethemathematicalandphysicalmechanismsofthewaveprop-agationinperiodicstructuresandtherelationshipwiththenaturalvibration.Thesolutionisdiscussedandex-amplesaregiven.

简介：Thisletterpresentsanewanalyticalapproximationforwave(current)-induceddynamicsoilresponseinmarinesediments.Inthemodel,thethird-orderapproximationforwave-currentinteractionsisemployedfortheflowmodel,whileBiot’sdynamicporo-elasticmodelisusedtosimulatetheporousflowinaseabed.Thenewlyanalyticalsolutionisvalidatedwiththefieldobservations.Basedonthesolution,effectsofcurrentsandwave-nonlinearityonsoilresponseareexaminedandaparametricstudywillbecarriedouttoexaminetheinfluenceofcurrentsontheliquefactionpotential.

简介：Inthispaper,withPoincare’sformalism,andanindirectmethod,thecanonicalformsofthegeneralizedequationsofmotionduetoNielsenandCenovofaholonomicdynamicalsysteminthevelocity-phasespaceandtheacenleration-phasespaceareobtainedintermsofthePoincareparameters.

简介：Theassessmentofthewave-inducedsoilliquefactionplaysakeyroleinthegeotechnicaldesignforoffshorefoundations.Theunderlyingshortcomingsoftheexistingmomentaryliquefactioncriteriaareidentifiedandclarifiedbymechanismanalysesandtherecentfieldobservations.Amodifiedcriterionforthewave-inducedmomentaryliquefactionofasandyseabedisgiventodescribetheverticalporepressuredistributions.Animprovedapproximationofthemomentaryliquefactiondepthisfurtherpresented.Parametricstudyoftheeffectsofthesaturationdegreeofsoilsindicatesthatthismodificationissignificantfortheevaluationofwave-inducedmomentaryliquefaction.

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简介：Asemi-analyticalmethodofsolvingtheproblemofdynamicstressconcentrationofarbitraryundergroundstructureundertheeffectofblastwaveswasintroduced.UsingtheFouriertransformtheory,theshockwaves(intheformsofSH-waves)canbeconvertedintofrequencybands.Afteremployingcomplexfunctionsandconformalmapping,theadmittancefunctionsofvariousundergroundstructureswereobtained.Then,theproblemofthetimedomaindynamicstressresponseofundergroundstructurecanbeeasilysolvedthroughtheFourierinversetransform.Atlast,theresultsandcurvesofthedynamicstressforthesquare,triangleandhorseshoecavitywerepresented.