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dc.contributor.advisorDenardo, Bruce C.
dc.contributor.advisorLarraza, Andres
dc.contributor.authorWalden, Cleon A.
dc.date.accessioned2013-02-15T23:33:03Z
dc.date.available2013-02-15T23:33:03Z
dc.date.issued1991-12
dc.identifier.urihttp://hdl.handle.net/10945/28405
dc.descriptionApproved for public release; distribution is unlimiteden_US
dc.description.abstractBreather solitons in a one-dimensional lattice of coupled nonlinear oscillators are numerically investigated. These are localized nonpropagating steady states that exist at frequencies either below the linear cutoff frequency (corresponding to the extended mode in which all the oscillators are in-phase) or above the upper linear cutoff frequency (corresponding to the extended mode in which each oscillator is 180° out-of-phase with its immediate neighbors). The lattice is damped and parametrically driven. A nonlinear Schrodinger theory, which assumes a modulational amplitude that is weakly nonlinear and slowly varying in space, is compared to the numerical data. The error is roughly 5% at low amplitudes and 20% at high amplitudes. The regions in the drive parameter plane (amplitude vs frequency) where the breathers exist are numerically determined and compared to theory. A substantial discrepancy occurs at lower drive amplitudes where the theory predicts that the lower cutoff breather should exist, but where an instability is observed. Also in contrast to the theory, the region of the upper cutoff breather has relatively large areas in which quasiperiodicity occurs or the motion decays to rest. Quasiperiodicity is also observed in the lower cutoff breather. Finally, instead of a global parametric drive, an end drive is investigated. It is found that, for drive frequencies outside the linear propagation band, there is an amplitude threshold for the periodic ejection or "shedding" of propagating breather solitons. The quasiperiodicity that occurs for a global parametric drive may be a consequence of soliton shedding.en_US
dc.description.urihttp://archive.org/details/numericalinvesti00wald
dc.language.isoen_US
dc.publisherMonterey, California. Naval Postgraduate Schoolen_US
dc.titleNumerical investigations of breather solitons in nonlinear vibratory latticesen_US
dc.typeThesisen_US
dc.contributor.corporateNaval Postgraduate School
dc.contributor.schoolNaval Postgraduate School
dc.contributor.departmentEngineering Acousitcs
dc.subject.authorNonlinear Latticeen_US
dc.subject.authorBreather Solitonsen_US
dc.subject.authorNumerical Simulationen_US
dc.description.serviceLieutenant, United States Navyen_US
etd.thesisdegree.nameM.S. in Engineering Acousitcsen_US
etd.thesisdegree.levelMastersen_US
etd.thesisdegree.disciplineEngineering Acousitcsen_US
etd.thesisdegree.grantorNaval Postgraduate Schoolen_US


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