简介：Inthispaperathreedegreesoffreedomautoparametricsystemwithlimitedpowersupplyisinvestigatednumerically.Thesystemconsistsofthebody,whichishungonaspringandadamper,andtwopendulumsconnectedbyshapememoryalloy(SMA)spring.Shapememoryalloyshaveabilitytochangetheirmaterialpropertieswithtemperature.ApolynomialconstitutivemodelisassumedtodescribethebehavioroftheSMAspring.Thenon-idealsourceofpoweraddsonedegreeoffreedom,sothesystemhasfourdegreesoffreedom.Theequationsofmotionhavebeensolvednumericallyandpseudoelasticeffectsassociatedwiththemartensiticphasetransformationarestudied.Itisshownthatinthistypesystemonemodeofvibrationsmightexciteordampanothermode,andthatexceptdifferentkindsofperiodicvibrationstheremayalsoappearchaoticvibrations.Fortheidentificationoftheresponsesofthesystem’svarioustechniques,includingchaostechniquessuchasbifurcationdiagramsandtimehistories,powerspectraldensities,Poincar`emapsandexponentsofLyapunovmaybeused.

简介：Shapememoryalloy(SMA)reinforcedsmartstructurecanbeusedtomakestructuralshapeandstrengthselfadaptedandstructuraldamageself-restrained.AlthoughSMAsmartstructureswithoutdamageswereextensivelystudied,researchesonSMAsmartstructureswithdamageshaverarelybeenreportedthusfar.Inthispaper,thermo-mechanicalbehaviorsofSMAfiberreinforcedsmartstructureswithdamagesareanalyzedthroughashearlagmodelandthevariationalprinciple.Mathematicalexpressionsofthemeso-displacementfieldandthestress-strainfieldofatypicalelementwithdamagesareobtained,andafailurecriterionforinterfacefailurebetweenSMAfibersandmatrixisestablished,whichisappliedtoanexample.ResultspresentedhereinmayprovideatheoreticalfoundationforfurtherstudiesonintegrityofSMAsmartstructures.