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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

doi:10.4203/ccp.106.141

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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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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	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 doi:10.4203/ccp.106.141 purchase the full-text of this paper 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. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £65 +P&P)
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