A perturbation analysis of constrained nonlinear vibrations

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dc.contributor.committeeChairSchovanec, Lawrence
dc.contributor.committeeMemberDayawansa, Wijesuriya P.
dc.contributor.committeeMemberGilliam, David S.
dc.creatorHedges, Jeremy
dc.date.accessioned2016-11-14T23:12:53Z
dc.date.available2012-06-01T15:39:56Z
dc.date.available2016-11-14T23:12:53Z
dc.date.issued2005-08
dc.degree.departmentMathematics
dc.description.abstractWe examine a nonlinear differential equation that is motivated by the use of soft constraints in the study of human movement. We investigate various properties of the system when considering the effects of forcing and damping. For the unforced and undamped problem, we implement two methods for approximating periodic solutions. We also address the stability properties of the unforced problem and show that no limit cycles can exist in the presence of damping. However, limit cycles can exist for the forced problem, and these are studied by use of the harmonic balance method.
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/2346/1308
dc.language.isoeng
dc.rights.availabilityUnrestricted.
dc.subjectHarmonic balance
dc.subjectPoincare
dc.subjectLindstedt
dc.subjectLindstedt-poincare
dc.titleA perturbation analysis of constrained nonlinear vibrations
dc.typeThesis

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