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dc.contributor.authorGottlieb, Hans
dc.date.accessioned2017-05-03T11:08:03Z
dc.date.available2017-05-03T11:08:03Z
dc.date.issued2004
dc.identifier.issn0022460X
dc.identifier.doi10.1016/S0022-460X(03)00299-2
dc.identifier.urihttp://hdl.handle.net/10072/5746
dc.description.abstractThe method of harmonic balance is applied to non-linear jerk equations, which involve the third order time-derivative. For many types of cubic non-linearities, the method yields good estimates of the period and displacement amplitude of oscillations for a range of values of initial velocity amplitude when compared with numerical solutions. Some limitations, notably the restriction to zero initial acceleration, as well as implications and possible extensions are discussed.
dc.description.peerreviewedYes
dc.description.publicationstatusYes
dc.format.extent34932 bytes
dc.format.extent79650 bytes
dc.format.mimetypetext/plain
dc.format.mimetypeapplication/pdf
dc.languageEnglish
dc.language.isoeng
dc.publisherAcademic Press
dc.publisher.placeUnited Kingdom
dc.relation.ispartofpagefrom671
dc.relation.ispartofpageto683
dc.relation.ispartofissue3-5
dc.relation.ispartofjournalJournal of Sound and Vibration
dc.relation.ispartofvolume271
dc.subject.fieldofresearchPhysical Sciences
dc.subject.fieldofresearchEngineering
dc.subject.fieldofresearchcode02
dc.subject.fieldofresearchcode09
dc.titleHarmonic balance approach to periodic solutions of non-linear jerk equations
dc.typeJournal article
dc.type.descriptionC1 - Articles
dc.type.codeC - Journal Articles
gro.rights.copyright© 2004 Elsevier. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.
gro.date.issued2015-05-06T03:05:13Z
gro.hasfulltextFull Text
gro.griffith.authorGottlieb, Hans P.


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