000015023 001__ 15023
000015023 005__ 20161115100209.0
000015023 04107 $$aeng
000015023 046__ $$k2016-08-21
000015023 100__ $$aManevitch, Leonid
000015023 24500 $$aStrongly Nonlinear Resonance Dynamics of Quasi-One- Dimensional Finite Oscillatory Chains

000015023 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000015023 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000015023 506__ $$arestricted
000015023 520__ $$2eng$$aWe present an extension of recently developed approach to stationary and non-stationary resonance dynamics of strongly nonlinear two degree of freedom (2DoF) systems to finite strongly nonlinear oscillatory chains (strong nonlinearity implies impossibility to use the linearized equations of motion even as a starting point of dynamic analysis). The proposed extension allows revealing new nonlinear effects in series of widely used mechanical and physical systems. There are in particular: i) breaking the symmetry caused by instability of almost all nonlinear normal modes (NNMs) and appearance of stable elliptic modes (EMs) in the initially un-stretched strings and membranes carrying discrete masses; ii) mobile breathers excitation by localized initial pulse in the un-stretched membrane; iii) efficient inter-cluster energy exchange and transition to energy localization in the un-stretched membrane and in the finite system of weakly coupled pendulums. The applications of revealed strongly nonlinear effects to solution of significant mechanical and physical problems are discussed.

000015023 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015023 653__ $$a

000015023 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000015023 720__ $$aManevitch, Leonid
000015023 8560_ $$ffischerc@itam.cas.cz
000015023 8564_ $$s194456$$uhttps://invenio.itam.cas.cz/record/15023/files/TS.MS04-9.01.pdf$$yOriginal version of the author's contribution as presented on CD,  page 192, code TS.MS04-9.01
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000015023 962__ $$r13812
000015023 980__ $$aPAPER