Numerical investigation of coexisting high and low amplitude responses and safe basin erosion for a coupled linear oscillator and nonlinear absorber system

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dc.citation.firstpage3490en_US
dc.citation.issueNumber15en_US
dc.citation.journalTitleJournal of Sound and Vibrationen_US
dc.citation.lastpage3504en_US
dc.citation.volumeNumber333en_US
dc.contributor.authorEason, Richard Parkeren_US
dc.contributor.authorDick, Andrew Jamesen_US
dc.contributor.authorNagarajaiah, Satishen_US
dc.date.accessioned2014-08-08T17:24:33Zen_US
dc.date.available2014-08-08T17:24:33Zen_US
dc.date.issued2014en_US
dc.description.abstractOver the last half century, numerous nonlinear variants of the tuned mass damper have been developed in order to improve attenuation characteristics. In the present study, the performance of a linear oscillator and an absorber with a strongly nonlinear cubic stiffness is evaluated by using numerical methods. This configuration has been of recent interest due to its capability of wide-band energy absorption. However, high amplitude solutions, which would amplify the response of the system, have been shown to often coexist with the low amplitude solutions. The present research is focused on numerically determining the relative strength of the coexisting solutions. Erosion profiles are presented, quantifying the integrity of the system, i.e. the likelihood of converging to a safe, low amplitude response, and providing an indication of the structural safety of a practical absorber system. The results indicate that the high amplitude solutions not only exist but significantly influence the response of the system within the range of expected operating conditions, particularly at excitation frequencies lower than the natural frequency of the linear oscillator. The erosion profiles indicate a 20-40% increase in system integrity for the case of zero damping compared to a small amount of damping, no significant integrity change when adding a small linear stiffness component to the nonlinear absorber, and no significant change in integrity between the midpoint and extreme of the bi-stable range. Additional higher-period solutions are also discovered and evidence of a chaotic response is presented.en_US
dc.identifier.citationEason, Richard Parker, Dick, Andrew James and Nagarajaiah, Satish. "Numerical investigation of coexisting high and low amplitude responses and safe basin erosion for a coupled linear oscillator and nonlinear absorber system." <i>Journal of Sound and Vibration,</i> 333, no. 15 (2014) Elsevier: 3490-3504. http://dx.doi.org/10.1016/j.jsv.2014.03.039.en_US
dc.identifier.doihttp://dx.doi.org/10.1016/j.jsv.2014.03.039en_US
dc.identifier.urihttps://hdl.handle.net/1911/76494en_US
dc.language.isoengen_US
dc.publisherElsevieren_US
dc.rightsThis is an author's peer-reviewed final manuscript, as accepted by the publisher. The published article is copyrighted by Elsevier.en_US
dc.titleNumerical investigation of coexisting high and low amplitude responses and safe basin erosion for a coupled linear oscillator and nonlinear absorber systemen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
dc.type.publicationpost-printen_US
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