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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 106
PROCEEDINGS OF THE TWELFTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY
Edited by:
Paper 141

Wave Propagation in Phononic Plates: Spectral Decomposition, Polarization and Band Gaps

E. Rohan1, B. Miara2 and R. Cimrman3

1European Centre of Excellence, NTIS New Technologies for Information Society, Faculty of Applied Sciences, University of West Bohemia, Pilsen, Czech Republic
2Université Paris-Est, ESIEE, Noisy-le-Grand, France
3New Technologies Research Centre, University of West Bohemia, Pilsen, Czech Republic

Full Bibliographic Reference for this paper
E. Rohan, B. Miara, R. Cimrman, "Wave Propagation in Phononic Plates: Spectral Decomposition, Polarization and Band Gaps", in , (Editors), "Proceedings of the Twelfth International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 141, 2014. doi:10.4203/ccp.106.141
Keywords: phononic materials, Reissner-Mindlin plate model, homogenization, spectral decomposition, band gaps, wave dispersion..

Summary
This paper reviews our recent research focused on modelling of the phononic structures using homogenization of high contrast elastic media. We consider the Reissner- Mindlin type of homogenized plates which involves frequency-dependent mass coefficients associated with the plate cross-section rotations and the plate deflections. Intervals of frequencies exist for which these coefficients constituting a mass matrix can be negative, giving rise to the so-called band gaps, such that the propagation of elastic waves is restricted, or even stopped. We propose a spectral decomposition based method which is suitable to compute the structure response to an external periodic loading by forces with frequencies in range of the band gaps. Numerical illustrations are given.

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