A perturbation analysis of constrained nonlinear vibrations

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dc.creatorHedges, Jeremy
dc.date.accessioned2016-11-14T23:09:02Z
dc.date.available2011-02-18T23:23:31Z
dc.date.available2016-11-14T23:09:02Z
dc.date.issued2005-08
dc.degree.departmentMathematicsen_US
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/2346/19910en_US
dc.language.isoeng
dc.publisherTexas Tech Universityen_US
dc.rights.availabilityUnrestricted.
dc.subjectHarmonic balanceen_US
dc.subjectPoincareen_US
dc.subjectLindstedten_US
dc.subjectLindstedt-poincareen_US
dc.titleA perturbation analysis of constrained nonlinear vibrations
dc.typeThesis

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