Dispersion and localisation in structured Rayleigh beams

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Dec 2014Embargo end date: 01 Jan 2014 Italy English Publisher:Elsevier BVJournal:International Journal of Solids and Structures, volume 51, pages 4,452-4,461 (issn: 0020-7683,

Copyright policy )Funded by:EC | MEMIC, EC | CERMAT2

Authors: Piccolroaz, Andrea; Movchan, A. B.;

doi: 10.1016/j.ijsolstr.2014.09.016 , 10.48550/arxiv.1408.5020

arXiv: 1408.5020

handle: 11572/101583

Dispersion and localisation in structured Rayleigh beams

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Abstract

This paper brings a comparative analysis between dynamic models of couple-stress elastic materials and structured Rayleigh beams on a Winkler foundation. Although physical phenomena have different physical origins, the underlying equations appear to be similar, and hence mathematical models have a lot in common. In the present work, our main focus is on the analysis of dispersive waves, band-gaps and localized waveforms in structured Rayleigh beams. The Rayleigh beam theory includes the effects of rotational inertia which are neglected in the Euler--Bernoulli beam theory. This makes the approach applicable to higher frequency regimes. Special attention is given to waves in pre-stressed Rayleigh beams on elastic foundations.

18 pages, 11 figures

Country

Italy

Related Organizations

University of Liverpool
United Kingdom
University of Trento
Italy

Keywords

Quasi-periodic Green’s functions, Mechanical Engineering, Applied Mathematics, Classical Physics (physics.class-ph), FOS: Physical sciences, Physics - Classical Physics, Dispersive waves, Condensed Matter Physics, Rotational inertia, Rayleigh beam, Rotational inertia, Dispersive waves, Localised wave forms, Quasi-periodic Green's functions, Materials Science(all), Mechanics of Materials, Modelling and Simulation, Localised wave forms, Rayleigh beam

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