Breathers in a Pinned Mechanical Lattice
نویسندگان
چکیده
منابع مشابه
Breathers in a Pinned Mechanical Lattice
Discrete breathers are found in a nonlinear one dimensional axially loaded mechanical lattice consisting of rigid links supported laterally by linear springs. We find link centered breathers for an odd number of mechanical links and pivot centred breathers where the number of links is even. Substantial parameter regions in load–frequency parameter space are found where these breathers are linea...
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Abstract. We present an overview of the static and some of the dynamic behaviour of a finite, pinned lattice system of interest in structural mechanics. We see that of all the many static equilibrium states that can be found a few may be observed in an experiment. We then go onto show that this mechanical lattice can support linearly stable breather solutions which have a lifetime in the nonlin...
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für Naturforschung in cooperation with the Max Planck Society for the Advancement of Science under a Creative Commons Attribution 4.0 International License. Dieses Werk wurde im Jahr 2013 vom Verlag Zeitschrift für Naturforschung in Zusammenarbeit mit der Max-Planck-Gesellschaft zur Förderung der Wissenschaften e.V. digitalisiert und unter folgender Lizenz veröffentlicht: Creative Commons Namen...
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The quantum modes of a nonlinear Klein Gordon lattice have been computed numerically [L. Proville, Phys. Rev. B 71, 104306 (2005)]. The on-site nonlinearity has been found to lead to a phonon pairing and consequently some phonon bound states. In the present paper, the time dependent Wannier transform of these states is shown to exhibit a breather-like behavior, i.e., it is spatially localized a...
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ژورنال
عنوان ژورنال: SIAM Journal on Applied Dynamical Systems
سال: 2011
ISSN: 1536-0040
DOI: 10.1137/080744396