Stochastic response of an axially moving viscoelastic beam with fractional order constitutive relation and random excitations-中国期刊网

摘要 Aconvenientanduniversalresiduecalculusmethodisproposedtostudythestochasticresponsebehaviorsofanaxiallymovingviscoelasticbeamwithrandomnoiseexcitationsandfractionalorderconstitutiverelationship,wheretherandomexcitationcanbedecomposedasanonstationarystochasticprocess,Mittag-Lefflerinternalnoise,andexternalstationarynoiseexcitation.Then,basedontheLaplacetransformapproach,wederivedthemeanvaluefunction,variancefunctionandcovariancefunctionthroughtheGreen'sfunctiontechniqueandtheresiduecalculusmethod,andobtainedtheoreticalresults.Insomespecialcaseoffractionalorderderivativeα,theMonteCarloapproachanderrorfunctionresultswereappliedtochecktheeffectivenessoftheanalyticalresults,andgoodagreementwasfound.Finallyinageneral-purposecase,wealsoconfirmedtheanalyticalconclusionviathedirectMonteCarlosimulation.

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Stochastic response of an axially moving viscoelastic beam with fractional order constitutive relation and random excitations

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Stochastic response of an axially moving viscoelastic beam with fractional order constitutive relation and random excitations

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