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Computation of propagating and non-propagating guided modes in nonuniformly stressed plates using spectral methods
Journal article   Peer reviewed

Computation of propagating and non-propagating guided modes in nonuniformly stressed plates using spectral methods

Brennan Dubuc, Arvin Ebrahimkhanlou and Salvatore Salamone
The Journal of the Acoustical Society of America, v 143(6), pp 3220-3230
01 Jun 2018
PMID: 29960418
url
https://doi.org/10.1121/1.5040140View
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Abstract

Acoustics Audiology & Speech-Language Pathology Life Sciences & Biomedicine Science & Technology Technology
This paper presents a numerical approach based on spectral methods for the computation of guided ultrasonic wave modes (i.e., Lamb and shear horizontal) in nonuniformly stressed plates. In particular, anisotropic elastic plates subjected to a normal stress profile, which varies nonuniformly over their thickness, are considered. The proposed approach computes the modeshapes and the full three-dimensional dispersion spectrum (i.e., real frequency, complex wavenumber). It therefore includes both propagating (real wavenumber) and non-propagating (complex wavenumber) modes. Furthermore, an approach for robustly post-processing the dispersion spectra in order to compute the group velocity of propagating modes is presented, which is based on a spectral quadrature method. Numerical results are presented for two case studies: (1) a bending profile in a fiber-reinforced graphite/epoxy plate, and (2) an exponential profile in a silver plate. The results show the computational efficiency (i.e., spectral convergence) of the proposed method compared to other existing approaches such as the sublayering and finite element methods. (C) 2018 Acoustical Society of America.

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Acoustics
Audiology & Speech-language Pathology
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