Analytical investigation of vibration attenuation with a nonlinear tuned mass damper

dc.contributor.advisorDick, Andrew Jen_US
dc.contributor.committeeMemberGhorbel, Fathi Hen_US
dc.contributor.committeeMemberO'Malley, Marcia Ken_US
dc.contributor.committeeMemberNagarajaiah, Satishen_US
dc.creatorAtzil, Aaron Men_US
dc.date.accessioned2016-01-06T20:23:38Zen_US
dc.date.available2016-01-06T20:23:38Zen_US
dc.date.created2015-05en_US
dc.date.issued2015-04-24en_US
dc.date.submittedMay 2015en_US
dc.date.updated2016-01-06T20:23:38Zen_US
dc.description.abstractVibration attenuation devices are used to reduce the vibrations of various mechanical systems and structures. In this work, an analytical method is proposed to provide the means to investigate the influence of system parameters on the dynamic response of a system. The method of multiple scales is used to calculate an approximate broadband solution for a two degree-of-freedom system consisting of a linear primary structure and a nonlinear tuned mass damper. The model is decoupled, approximate analytical solutions are calculated, and then they are combined to produce the desired frequency-response information. The approach is initially applied to a linear two degree-of-freedom system in order to verify its performance. The approach is then applied to the nonlinear system in order to study how varying the values of parameters associated with the nonlinear absorber affect its ability to attenuate the response of the primary structure. Finally, the analytical solution is compared to a numerical solution in order to determine how well it approximates the nonlinear system frequency-response.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.citationAtzil, Aaron M. "Analytical investigation of vibration attenuation with a nonlinear tuned mass damper." (2015) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/87706">https://hdl.handle.net/1911/87706</a>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/87706en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.subjectNonlinear tuned mass damperen_US
dc.subjectDuffing oscillatoren_US
dc.subjectanalytical approximationen_US
dc.subjectMethod of multiple scalesen_US
dc.titleAnalytical investigation of vibration attenuation with a nonlinear tuned mass damperen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentMechanical Engineeringen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Scienceen_US
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