Uncertainty and dissipation

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dc.citation.epage4775en_US
dc.citation.spage4761en_US
dc.citation.volumeNumber6en_US
dc.contributor.authorCarcaterra, A.en_US
dc.contributor.authorAkay, Adnanen_US
dc.coverage.spatialLeuven, Belgiumen_US
dc.date.accessioned2016-02-08T12:14:55Z
dc.date.available2016-02-08T12:14:55Z
dc.date.issued2012-09en_US
dc.departmentDepartment of Mechanical Engineeringen_US
dc.descriptionConference Name: ISMA 2012 International Conference on Noise and Vibration Engineering
dc.descriptionDate of Conference: 17-19 September 2012
dc.description.abstractThis paper discusses the question of the energy confinement in mechanical structures in the light of the uncertainties affecting the natural frequencies of the system. More precisely, recent studies have shown that energy can be introduced to a linear system with near irreversibility, or energy within a system can migrate to a subsystem nearly irreversibly, even in the absence of dissipation, provided that the system has a particular natural frequency distribution. In this paper, the case of uncertainties in the system's natural frequencies is discussed and a remarkable statistical property of the natural frequency is derived for permanent energy confinement within a part of the system. The results demonstrate the existence of a special class of linear non-dissipative dynamic systems that exhibit nearly-irreversible energy confinement (IEC) if they satisfy a minimum-variance-response (MIVAR) property. In this case, if the probability density function of the natural frequencies has a special distribution, the conservative system shows an unexpected decaying impulse response. © (2012) by the Katholieke Universiteit Leuven Department of Mechanical Engineering All rights reserved.en_US
dc.identifier.urihttp://hdl.handle.net/11693/28236
dc.language.isoEnglishen_US
dc.publisherKatholieke Universiteit Leuvenen_US
dc.source.titleProceedings of ISMA 2012 International Conference on Noise and Vibration Engineeringen_US
dc.subjectImpulse responseen_US
dc.subjectLinear systemsen_US
dc.subjectProbability density functionen_US
dc.subjectStructural dynamicsen_US
dc.subjectConservative systemsen_US
dc.subjectEnergy confinementen_US
dc.subjectFrequency distributionsen_US
dc.subjectMechanical structuresen_US
dc.subjectSpecial classen_US
dc.subjectStatistical propertiesen_US
dc.subjectNatural frequenciesen_US
dc.titleUncertainty and dissipationen_US
dc.typeConference Paperen_US

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