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 localised 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.

Dispersion and Localisation in Structured Rayleigh Beams / Piccolroaz, Andrea; Movchan, A. B.. - In: INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES. - ISSN 0020-7683. - STAMPA. - 51:(2014), pp. 4452-4461. [10.1016/j.ijsolstr.2014.09.016]

Dispersion and Localisation in Structured Rayleigh Beams

Piccolroaz, Andrea;
2014-01-01

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 localised 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.
2014
Piccolroaz, Andrea; Movchan, A. B.
Dispersion and Localisation in Structured Rayleigh Beams / Piccolroaz, Andrea; Movchan, A. B.. - In: INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES. - ISSN 0020-7683. - STAMPA. - 51:(2014), pp. 4452-4461. [10.1016/j.ijsolstr.2014.09.016]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/101583
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