Summary

2011 International Symposium on Nonlinear Theory and Its Applications

2011

Session Number:C1L-C

Session:

Number:C1L-C3

Interactions between Two Nonlinear Localized Oscillations in an Articulated Structure

Yosuke Watanabe,  Nobumasa Sugimoto,  

pp.608-610

Publication Date:2011/9/4

Online ISSN:2188-5079

DOI:10.34385/proc.45.C1L-C3

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Summary:
This paper considers interactions between two localized oscillations of the same amplitude in a spatially periodic and articulated structure. It consists of identical rigid members which are connected to adjoining ones under the action of nonlinear restoring moments. The members extend straight in equilibrium and the displacements are restricted in a plane. The numerical solutions to the governing equations with free boundary conditions at both ends and the appropriate initial conditions show that intrinsic localized modes (ILMs) which have two movable localized oscillations can be excited and that they interact with each other.