Energy equipartition and frequency distribution in complex attachments

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dc.citation.epage128en_US
dc.citation.issueNumber1en_US
dc.citation.spage122en_US
dc.citation.volumeNumber126en_US
dc.contributor.authorRoveri, N.en_US
dc.contributor.authorCarcaterra, A.en_US
dc.contributor.authorAkay, A.en_US
dc.date.accessioned2016-02-08T10:03:03Z
dc.date.available2016-02-08T10:03:03Z
dc.date.issued2009en_US
dc.departmentDepartment of Mechanical Engineeringen_US
dc.description.abstractAs reported in several recent publications, an undamped simple oscillator with a complex attachment that consists of a set of undamped parallel resonators can exhibit unusual energy sharing properties. The conservative set of oscillators of the attachment can absorb nearly all the impulsive energy applied to the primary oscillator to which it is connected. The key factor in the ability of the attachment to absorb energy with near irreversibility correlates with the natural frequency distribution of the resonators within it. The reported results also show that a family of optimal frequency distributions can be determined on the basis of a variational approach, minimizing a certain functional related to the system response. The present paper establishes a link between these optimal frequency distributions and the energy equipartition principle: optimal frequency distributions are those that spread the injected energy as uniformly as possible over the degrees of freedom or over the modes of the system. Theoretical as well as numerical results presented support this point of view. © 2009 Acoustical Society of America.en_US
dc.identifier.doi10.1121/1.3147502en_US
dc.identifier.issn0001-4966
dc.identifier.urihttp://hdl.handle.net/11693/22660
dc.language.isoEnglishen_US
dc.publisherAcoustical Society of Americaen_US
dc.relation.isversionofhttp://dx.doi.org/10.1121/1.3147502en_US
dc.source.titleJournal of the Acoustical Society of Americaen_US
dc.subjectDegrees of freedomen_US
dc.subjectEnergy equipartitionen_US
dc.subjectEnergy sharingsen_US
dc.subjectFrequency distributionsen_US
dc.subjectInjected energyen_US
dc.subjectKey factorsen_US
dc.subjectNumerical resultsen_US
dc.subjectOptimal frequencyen_US
dc.subjectSystem responseen_US
dc.subjectVariational approachesen_US
dc.subjectOscillators (electronic)en_US
dc.subjectResonatorsen_US
dc.subjectOptimizationen_US
dc.titleEnergy equipartition and frequency distribution in complex attachmentsen_US
dc.typeArticleen_US

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