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dc.contributor.authorAgnes, Gregory Stephenen_US
dc.date.accessioned2014-03-14T20:22:38Z
dc.date.available2014-03-14T20:22:38Z
dc.date.issued1997-09-03en_US
dc.identifier.otheretd-8897-113619en_US
dc.identifier.urihttp://hdl.handle.net/10919/30740
dc.description.abstractLinear vibration absorbers are a valuable tool used to suppress vibrations due to harmonic excitation in structural systems. Limited evaluation of the performance of nonlinear vibration absorbers for nonlinear structures exists in the current literature. The state of the art is extended in this work to vibration absorbers in their three major physical implementations: the mechanical vibration absorber, the inductive-resistive shunted piezoelectric vibration absorber, and the electronic vibration absorber (also denoted a positive position feedback controller). A single, consistent, physically similar model capable of examining the response of all three devices is developed. The performance of vibration absorbers attached to single-degree-of-freedom structures is next examined for performance, robustness, and stability. Perturbation techniques and numerical analysis combine to yield insight into the tuning of nonlinear vibration absorbers for both linear and nonlinear structures. The results both clarify and validate the existing literature on mechanical vibration absorbers. Several new results, including an analytical expression for the suppression region's location and bandwidth and requirements for its robust performance, are derived. Nonlinear multiple-degree-of-freedom structures are next evaluated. The theory of Nonlinear Normal Modes is extended to include consideration of modal damping, excitation, and small linear coupling, allowing estimation of vibration absorber performance. The dynamics of the N+1-degree-of-freedom system reduce to those of a two-degree-of-freedom system on a four-dimensional nonlinear modal manifold, thereby simplifying the analysis. Quantitative agreement is shown to require a higher order model which is recommended for future investigation. Finally, experimental investigation on both single and multi-degree-of-freedom systems is performed since few experiments on this topic are reported in the literature. The experimental results qualitatively verify the analytical models derived in this work. The dissertation concludes with a discussion of future work which remains to allow nonlinear vibration absorbers, in all three physical implementations, to enter the engineer's toolbox.en_US
dc.publisherVirginia Techen_US
dc.relation.haspartagnesg.pdfen_US
dc.rightsI hereby grant to Virginia Tech or its agents the right to archive and to make available my thesis or dissertation in whole or in part in the University Libraries in all forms of media, now or hereafter known. I retain all proprietary rights, such as patent rights. I also retain the right to use in future works (such as articles or books) all or part of this thesis or dissertation.en_US
dc.subjectVibration Absorbersen_US
dc.subjectNonlinear Dynamicsen_US
dc.subjectSmart Structuresen_US
dc.titlePerformance of Nonlinear Mechanical, Resonant-Shunted Piezoelectric, and Electronic Vibration Absorbers for Multi-Degree-of-Freedom Structuresen_US
dc.typeDissertationen_US
dc.contributor.departmentEngineering Mechanicsen_US
dc.description.degreePh. D.en_US
thesis.degree.namePh. D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen_US
thesis.degree.disciplineEngineering Mechanicsen_US
dc.contributor.committeechairInman, Daniel J.en_US
dc.contributor.committeememberNayfeh, Ali H.en_US
dc.contributor.committeememberHendricks, Scott L.en_US
dc.contributor.committeememberPlaut, Raymond H.en_US
dc.contributor.committeememberKriz, Ronald D.en_US
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-8897-113619/en_US
dc.date.sdate1997-09-03en_US
dc.date.rdate1997-09-10
dc.date.adate1997-09-10en_US


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