Simulation of tapered rotating beams with centrifugal stiffening using the Adomian decomposition method

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dc.contributor.authorAdair, Desmond
dc.contributor.authorJaeger, Martin
dc.creatorDesmond, Adair
dc.date.accessioned2017-12-15T04:19:32Z
dc.date.available2017-12-15T04:19:32Z
dc.date.issued2016-02-15
dc.description.abstractAbstract The Adomian modified decomposition method (AMDM) is employed for the free transverse vibration analysis of rotating non-uniform Euler-Bernoulli beams using several boundary conditions, rotation speeds, and beam lengths. The equation of motion includes the axial force due to centrifugal stiffening. The AMDM allows the governing differential equation to become a recursive algebraic equation and after additional simple mathematical operations on the model, the natural frequencies and corresponding closed-form series solution of the mode shape can be obtained simultaneously. The AMDM technique is systematic, so it is straightforward to modify the boundary conditions for specific cases. Comparisons with previously reported results demonstrated that the results obtained by the proposed method were in close agreement.en_US
dc.identifierDOI:10.1016/j.apm.2015.09.097
dc.identifier.citationDesmond Adair, Martin Jaeger, Simulation of tapered rotating beams with centrifugal stiffening using the Adomian decomposition method, In Applied Mathematical Modelling, Volume 40, Issue 4, 2016, Pages 3230-3241en_US
dc.identifier.issn0307904X
dc.identifier.urihttps://www.sciencedirect.com/science/article/pii/S0307904X15006319
dc.identifier.urihttp://nur.nu.edu.kz/handle/123456789/2925
dc.language.isoenen_US
dc.publisherApplied Mathematical Modellingen_US
dc.relation.ispartofApplied Mathematical Modelling
dc.rights.licenseCopyright © 2015 Elsevier Inc. All rights reserved.
dc.subjectAdomian decompositionen_US
dc.subjectCentrifugal stiffeningen_US
dc.subjectRotating beamsen_US
dc.titleSimulation of tapered rotating beams with centrifugal stiffening using the Adomian decomposition methoden_US
dc.typeArticleen_US
elsevier.aggregationtypeJournal
elsevier.coverdate2016-02-15
elsevier.coverdisplaydate15 February 2016
elsevier.endingpage3241
elsevier.identifier.doi10.1016/j.apm.2015.09.097
elsevier.identifier.eid1-s2.0-S0307904X15006319
elsevier.identifier.piiS0307-904X(15)00631-9
elsevier.identifier.scopusid84959325701
elsevier.issue.identifier4
elsevier.openaccess0
elsevier.openaccessarticlefalse
elsevier.openarchivearticlefalse
elsevier.startingpage3230
elsevier.teaserThe Adomian modified decomposition method (AMDM) is employed for the free transverse vibration analysis of rotating non-uniform Euler-Bernoulli beams using several boundary conditions, rotation speeds,...
elsevier.volume40
workflow.import.sourcescience

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