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1.
Form invariance and noether symmetrical conserved quantity of relativistic Birkhoffian systems 总被引:1,自引:0,他引:1
罗绍凯 《应用数学和力学(英文版)》2003,24(4):468-478
IntroductionIn 1 92 7,theAmericanmathematicianG .D .BirkhoffmadeprimaryresearchesonBirkhoffiandynamics[1].In 1 983,theAmericanphysicistR .M .SantillistudiedthetransformationtheoryofBirkhoffequationsandgeneralizationofGalileirelativity ,andsummarizedcomprehensivelytheoriginofBirkhoffequationsandthelaterstudiesonthem[2 ].Since 1 992 ,theChinesemechanicianMeiFeng_xianganditsco_workershaveconstructedthedynamicsofBirkhoffiansystemonthebasisofRefs.[1 ,2 ] ,andgavethebasictheoreticalframe[3 - … 相似文献
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IntroductionIn 1 83 1 ,Faraday[1]reportedhisexperimentalobservationofsurfacewavesindifferentfluidscoveringahorizontalplatesubjectedtoaverticalvibration ,andheobservedthesurfacestandingwavesoffluidsliketheteethofaveryshortcoarsecomb .Heremarksthatthesesurfacewaveshaveafrequencyequaltoonehalfthatoftheexcitation .ThisisthefamousFaradayexperiment.WedesignatethosefluidsurfacewavesformedbyverticallyexcitationandhaveafrequencyequaltoonehalfthatoftheexcitationasFaradaywaves.FollowingthisproblemMatth… 相似文献
3.
I.IntroductionOneofthedolllinalltchaructcristicsofNon-lillcarsystemsistheboc-uniquenessoftherespollsef(7ragivensystemptlrallleter.Eacllsic'ldystiltcisallattrilctoj'baviilgitsownwalkinOf':lttrilCt1OllillpllaSCSpttCC.Allattl'tCtL)1'1flaybaflXCdl,Oillt,b1flitCyCIC,1llVIlriilllttol-uS,strtlbgeatti'ilctor.1b13riictlcLllifpl7llcatit)ns,oillyollcoj'theseb1uIti13Icattrilt')1-sisof'illtorestLllldcol'rcsl,olldstotilesalt,of>cl'iltlollilll'cglL)IIof'tilesystcllls,ifbdtileolll(:rstireustlilll… 相似文献
4.
金问鲁 《应用数学和力学(英文版)》1999,20(3):254-261
1ThePostulatesandillustrationsofUnifiedElastic-Viscosic-PlasticTheoryWhenthesolidsareundertyleexternalexcitations,theresponseswillexistintheinterior.Inthesolid,therearethreemainstates:elastic,plasticandviscosic.Itisimpossibletostudythesebehavioursbymolecularmethod,butthesebehaviourscanberesearchedfromthepointofviewoflargescale.Inthispaper,weconsidertheexcitationbyexternalworkonly,theresponsesarestrainenergyandtheheatwasted,asinFig.1.InFig.1(a),theworkratebyexternalforceisW,onepartofwhichis… 相似文献
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I.Introducti0nlnPart(l),thethree-porous-medium1nodeIisdevelopedtosimulatethebLliddynan1icproblem0ftulbormicrocirculation.Thepressureandvel0citypr0fileofblo0d,lyn1phandinterstitialI1uidarcobtaincLl.Basedol1thescsoltltions,tl1ctral1sl,ortpr0ccss()finbbUbOg10bUlb1G(lgG)anditSal1tigCb-bindil1gfraglbCI1t(Fab)iI2thCl1Orn1al-tlSSuC-surroundcdtunlorareana1yzedibthispapcl'.Thel1nitcclcn1el1tlbetl1odisuscdtos0lvethcdit1'usion-convcctiollequatiol1stogcttbccol1cel1trationproIbeoflgGandFabil1bloo… 相似文献
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Qualitative study of cavitated bifurcation for a class of incompressible generalized neo-Hookean spheres 总被引:1,自引:0,他引:1
IntroductionIn 1 958,GentandLindleyobservedthephenomenonofsuddenvoidnucleationinsolidsexperimentallyintensioningahomogenousclose_grainedvulcanizedrubbercylinderforthefirsttime.ButthemathematicalmodelonvoidnucleationandgrowthhasnotbeendescribedasabifurcationproblembasedonthetheoryofnonlinearelasticmechanicsbyBall[1]until1 982 .Inrecentyears,manyinvestigationshavebeenmadeonthisaspect.Theproblemofcavitatedbifurcationforincompressibleisotropichyperelasticmaterialswithpower_lawtypehasbeeninvestig… 相似文献
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l.IntroductionInenginecringandnaturallie1ds.therearemanycomplicatedpipel1owswlthcomplexboundariesandobstructionsinsidethepipesimultaneously.IfthesimuIationofabodyconforminggridisuscdtosolvCthcscprobIems.itwouldbeveryIaboriousanddif1iculttoinsurestabilityandconvergence.Thus.weneedasimplcandapplicabIe1nethodtosimuIatctheboundariesapproximatelysothatk--emodetmaybeused.Ladder-1ikcmeshisusedinthispapertoreplacecomplexboundaryconditions.Meanwhile.blockoffmethodisusedforobstructedregion.II.Mathem… 相似文献
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卢子兴 《应用数学和力学(英文版)》1998,19(10):997-999
1.IntroductionThecompositereinforcedbysphericalparticlesisanilllportantengilleel-lugmaterial.Itiswidelyusedinvariousfieldsuchasaviationandspaceflight.Withl'egardtoitsefttctivemodulusproblenl,maily1llodelsandmethodswereproposedillpilotyeal's.Somethed.eticalpredictionlbrnlulaehavebeenobtailledtitpresent,whicharequiteinagreementwithexpel.imelltalresultslll.FIowcver,becausedemandingl'orcompositeincllglneeri11gtlpplicationbecomeslargel'daybyday,theSurftlcecoatillgofreinforcednlatel.iLtlincomposit… 相似文献
9.
《应用数学和力学(英文版)》2021,(7)
正H. B. LANJWANI1, M. S. CHANDIO1, M. I. ANWAR2,S. A. SHEHZAD3,, M. IZADI4 相似文献
10.
I.IntroductionTheanalysisoftheeddycurrentfieldisanimportantprobleJllintheelectromagneticinductionheatingandtheelcctronlagneticdesignoftheelectricmotorandthetransforlllcr.Chartetal.lllandSinlkinctal.c1tlrstsolvedtheeddycurrentproblemusingamagneticvectorpotentialAandanglcctricscillilrpotential(p(calledA,(Pnlcthod).Tllcn*Browlll3117rol,oscdT-Qmethodwhich"scsa1llilgllcticscalarpotentialandanelectricvectorpotelltial.I-orthet'initeelenlclltallalysis,Chillly1btisstudiedsystematicallythet'ullctiol… 相似文献
11.
IntroductionInpractice ,thereexistmanyexamplesofimpulsivecontrolsystems (seeRefs.[1 ,2 ,3 ] ) .Recently ,impulsivecontrolhasbeenwidelyusedtostabilizeandsynchronizechaoticsystems(seeRefs.[4~ 1 5] ) .Forexample,thepredictivePoincarecontrol[4 ]andtheoccasionalproportionalfeedbackcontrol[5 ]aretwoimpulsivecontrolschemeswithvaryingimpulsiveintervals.Yangetal.inRefs.[7,1 1 ]studied ,respectively ,thestabilizationandsynchronizationofaclassofchaoticsystemscalledLorenzsystems .YangandChuainRef.[1 … 相似文献
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陈松林 《应用数学和力学(英文版)》1995,16(6):549-556
I.IntroductionTherearemanyresu1tsaboutsingularperturbationfore1lipticandparabolicequations(orsystem)l"2l.AsfOrsingularlyperturbedreactionanddiffusionsystem,moststudiesareobtuinedundertheassumptionofnocoupledterm13].However,thecoupledsystemsusua1lyoccurredinapplicationssuchassimplefoodchainwithdiffusionandgroupdefencesystem(!landchemicalreactiondiffusionsysteml'landsoon.It'smorecomplicatedtodealwithsuchproblems.Andmoreover,thesolutionofthesameproblemmaypossessdifferentbchaviorsaccordingtothep… 相似文献
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IntroductionHybriddynamicsystemscombinebothcontinuoustimedynamicsanddiscreteeventdynamics.Thetwodynamicsinteractoneachothersuchthatthesystemsperformmorecomplexdynamicbehaviors .Switchedlinearsystemsareanimportantclassofhybriddynamicsystemswhichconsistofafamilyoflineartime_invariantsystemsandaswitchinglawspecifyingtheswitchingbetweenthem .Inrecentyears ,therehasbeenincreasinginterestinthecontrolproblemsofswitchedsystemsduetotheirsignificancebothintheoryandapplications[1~ 2 1] .Thusfar,therese… 相似文献
15.
ProjectsupportedbytheNationalNaturalScienceFoundationofHeilongiianginP.R.ChinaI.Introductionlnthatengineering,thereisakindofmaterials.Somesofteninganddamagephenomenaa1waysappearwhenthedeformationbecomeslargeenough.Forstudyingthisprocess.asofteningmode1oft… 相似文献
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丁协平 《应用数学和力学(英文版)》2003,24(9)
IntroductionThispaperisacontinuumoftheprecedingpaperofauthor[1] .Fortheconceptsandnotationsofgeneralizedconvex (orG_convex)space ,CG_convexspace,theclassB(Y ,X)ofbetteradmissiblemappings ,GB_mappings,GB_majorizedmappingsandtherelatednotions,thereadermayconsultRef.[1].Themainaimofthispaperistogivesomeapplicationsoftheexistencetheoremsofmaximalelementsobtainedbyauthor[1] .ByapplyingourresultsinRef.[1],wegivesomecomponentversionofcoincidencetheoremandFan_Browdertypefixedpointtheorems .Somee… 相似文献
17.
1 AxisymmetryLargeDeformationofCircularMembraneTheproblemofaxisymmetrylargedeformationofcircularmembraneisonewithpracticalsignificance.Hencky (1 91 5) [1]gaveasolutionofpowerseriesundertheuniformforce ;Alekseev (1 951 ) [2 ]gaveananalyticsolutionofcircularmembraneundertheconcentratedforce ,whichisexactonlywhenν=1 3 .ChienWei_zangetal.(1 981 ) [3]gaveananalyticsolutionofthesymmetricalcircularmembraneundertheactionofuniformlydistributedloadsinitscentralportion .Asfortheresultsorotherauthor… 相似文献
18.
1.IntroductionAsakindofwidelyusedlowdensitymaterials,compositeconsistingofamatrixanddistributedhollowsphereshaveattractedIncreasingresearchinterest.Relatedworkswhicharefocusedonthetheoreticalpredictionof.theeffectiveelasticmoduliofsuchcompositescanbefoundinLeeandWestmannl'1,QiuandWengl=],HuangandGibsonl31aswellasChercauoietal.HI.HuangandGibson13]havealsocarriedoutanexperimentalinvestigationonmechanicalbehavioursofthecomposites.Thepresentpapercontinuestheseinvestigationsandisfocusedonfindi… 相似文献
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20.
《应用数学和力学(英文版)》2021,(8)
正J. K. MADHUKESH1, G. K. RAMESH2, B. C. PRASANNAKUMARA1,S. A. SHEHZAD3,, F. M. ABBASI4 相似文献