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1.
IntroductionC_shapedbellowsorreferredtoassemi_circlebellowsarewithcomplexconfiguration(Fig .1) .Attheconcaveandconvexjointsoftheshell,forexampleatpointC ,thelatitudeangleψincreasesby 180°abruptly .Soitisthekeytocalculationforbellowsthatmakingupsolutionsexact…  相似文献   

2.
IntroductionBellows[1,2 ]isashellofrevolutionwithwrinkledmeridian ,usuallynamedafteritsmeridionalshapeinaperiodoritsprofileofaconvolution ,suchasΩ_shapedbellows,C_shapedbellows,U_shapedbellowsandsoon .Theyarewidelyusedinmanyfields,forexample ,theelasticsense…  相似文献   

3.
IntroductionThetheoryofflexibleshells,establishedbyE .L .Axelrad[1,2 ]( 1 976,1 987) ,isasimplifiedtheoryforthinshells,inwhichshellsofrevolutionareformulatedinmeridionaldirectionbybendingtheoryoftheshellsandbythemembranetheoryinthecircumferentialdirection .TheAxelr…  相似文献   

4.
IntroductionFractalinterpolationmethodisnumericalmethodinthefractalgeometryusingiteratedfunctionsystem (IFS) ,itisdifferentfromtraditionalinterpolationmethod .M .F .Barnsely[1,2 ]firstgavethismethodandresearchedthecontinuityandthefractaldimensionofinterpolat…  相似文献   

5.
IntroductionMostofthefiniteelementsareconstructedbyusingdisplacementfiniteelementmethod .Bysupposingthedisplacementfunctionsintheelement,andusingtheprincipleofminimumpotentialenergy,theelementstiffnessmatrixcanbeformulated .Ifthedisplacementfunctioninth…  相似文献   

6.
IntroductionInthesystemofnonlinearoscillating ,periodicmotionisofprimeimportance .Butexistenceofperiodicsolutionsisaverydifficultquestion .Luckilythereexistsomekindsofperiodicsolutioninactualphysicalsystems .Therefore ,weusuallyconcentratedourattentionont…  相似文献   

7.
IntroductionManymechanicalsystemscanbeviewedaslinearHamiltoniansystems.Whenwestudytheeffectsofsystemparametersonthebehaviorofthesystems,thesystemcanberegardedasthesystemdependingonparameters.Veryimportantsystemparameters ,suchascriticalload ,criticalang…  相似文献   

8.
ThefollowingLemmastated (in :AppliedMathematicsandMechanics (EnglishEdition) ,2 0 0 1 ,2 2 ( 1 1 ) :1 3 52 -1 3 56)wasappliedtodescribetheasymptoticbehaviorsofsolutionsofaclassofreaction_diffusionequation .Onaccountofthespecialpropertyofthesupersolution(i.e .,anonzerosolution…  相似文献   

9.
IntroductionConsiderthesystemofpartialdifferentialalgebraicequations (PDAEs) :Σ : Pi(y1,y2 ,… ,yn) =0   (i =1,2 ,… ,r) ,wherethecoefficientsareinthedifferentialfieldKwithcharacteristiczero .TheimportantquestionishowtosolvethisPDAEsinthetheoryofpartialdifferentialequa…  相似文献   

10.
IntroductionConservationlawofmechanicalsystemnotonlyhasimportanceinmathematicsbutalsorevealsprofoundphysicallaw .In 1 91 8,basedoninvarianceofHamilton’sprincipleunderinfinitesimaltransformation ,theconservationlawofmechanicssystemwasstudiedbyGermanscientis…  相似文献   

11.
IntroductionChaoticistheinherentrandomnessinthedefinitesystem .Thedefinitenessiscausedbythesysteminternalsbutnotbytheexternaldisturbance,whiletheinherentrandomnessistheirregularanddifficult_to_be_predictedbehaviorofthesystem .Whatismostattractiveofthec…  相似文献   

12.
IntroductionOfallthefiber_reinforcedcompositematerials,theshort_fibercompositematerialnotonlystrengthensthematrixbutavoidsdefectionsofthelong_fibercompositematerialaswell.Themicro_mechanicsaboutitsuchasfracture ,fatigueanddamageisverycomplex .Intheprevi…  相似文献   

13.
IntroductionBellows,ashellofwrinkledmeridianofrevolution ,hasbeingincreasinglyusedinmodernequipmentasanelastic_sensitiveelementandaflexiblejoint.Theformerisusuallysubjectedtolargedisplacementsatitsends,andthelattermaypartlyenterintoplasticstate .Hence ,b…  相似文献   

14.
IntroductionBeltramiflowisaspecialkindofflow .Itsvorticitydirectionisparalleltoitsvelocitydirectioneverywhere .Moreover,itsvelocityandvorticitysatisfythelinearHelmholtzequation .Infact,itisakindofrelativelysimpleflow .Buttherearemanycomplexphenomenahidden…  相似文献   

15.
IntroductionChaplyginpointedoutthatLindel fmadeabigmistakeinhispaper“Rollingofrotatingbodyonhorizontalplane” (ActaSocietatisScientiarumFennicae ,Vol.2 0 ,No .3 ) [1].ItwascalledLindel f’smistake .Inthelasthundredyears,nobodyputforwardLindel f’swork .However,Chaply…  相似文献   

16.
IntroductionIntheactivitiessuchastheaerospaceengineeringheatprotection[1,2 ],thelarge_scaleconcretepouring ,thechemicalproduction ,thepowdermetallurgyandthefiresafetyengineering[3,4],thereisonekindofnonlinearparabolicdistributedparametercontrolsystemwithmovi…  相似文献   

17.
ntroductionBycontrasttootherdistributiveloadingactions,thestableproblemofarchundergoingverticaldistributiveloadingactionismor...  相似文献   

18.
IntroductionChaoticistheinherentrandomnessinthedefinitesystem .Thedefinitenessiscausedbythesysteminternalsbutnotbytheexternaldisturbance[1- 4],whiletheinherentrandomnessistheirregularanddifficult_to_be_predictedbehaviorofthesystem[5 ,6 ].Whatismostattractive…  相似文献   

19.
IntroductionEversinceShepherdhassuggestedanovelmethodtostudynonlinearsaturationofbarotropicandbaroclinicinstability[1- 3],manyauthorshavemadefurtherresearchontheproblem .Shepherd’smethodisasfollows:First,chooseaclassofstablebasicflows;then ,decomposethedist…  相似文献   

20.
IntroductionSincethepioneeringworkonnonlinearstabilityofplanarincompressiblesteadyflowbyArnol’d ,agreatdealofattentionhasbeenpaidtononlinearstabilityoffluid (especiallygeophysicalfluid)motion ,andmuchprogresshasbeenmade.AsmentionedinRef.[1 ] ,intherealatmos…  相似文献   

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