A multiple-scale perturbation approach to mode coupling in periodic plates

Omar Asfar; Muhammad Hawwa; Maxime Bavencoffe; Bruno Morvan; Jean Louis Izbicki

doi:10.1109/TUFFC.2013.2575

A multiple-scale perturbation approach to mode coupling in periodic plates

Omar Asfar^*
, Muhammad Hawwa
, Maxime Bavencoffe
, Bruno Morvan
, Jean Louis Izbicki

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

In this paper, guided ultrasonic wave propagation is analyzed in an elastic plate with sinusoidal surface corrugations. The corrugated area acts as a finite-length grating which corresponds to a 1-D phononic crystal (PC). The multiple-scale perturbation technique is used to derive coupled-mode equations describing the amplitudes of interacting modes. These equations are solved exactly for the two-point boundary-value problem of the PC. The study involves the coupling of the incident symmetric Lamb wave S₀ to the reflected antisymmetric Lamb wave A₀. The influences of the depth of corrugation and length of the PC are studied. Theoretical results are compared with experimental measurements.

Original language	English
Article number	6416494
Pages (from-to)	395-401
Number of pages	7
Journal	IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
Volume	60
Issue number	2
DOIs	https://doi.org/10.1109/TUFFC.2013.2575
State	Published - 2013

ASJC Scopus subject areas

Instrumentation
Acoustics and Ultrasonics
Electrical and Electronic Engineering

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10.1109/TUFFC.2013.2575

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title = "A multiple-scale perturbation approach to mode coupling in periodic plates",

abstract = "In this paper, guided ultrasonic wave propagation is analyzed in an elastic plate with sinusoidal surface corrugations. The corrugated area acts as a finite-length grating which corresponds to a 1-D phononic crystal (PC). The multiple-scale perturbation technique is used to derive coupled-mode equations describing the amplitudes of interacting modes. These equations are solved exactly for the two-point boundary-value problem of the PC. The study involves the coupling of the incident symmetric Lamb wave S0 to the reflected antisymmetric Lamb wave A0. The influences of the depth of corrugation and length of the PC are studied. Theoretical results are compared with experimental measurements.",

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T1 - A multiple-scale perturbation approach to mode coupling in periodic plates

AU - Asfar, Omar

AU - Hawwa, Muhammad

AU - Bavencoffe, Maxime

AU - Morvan, Bruno

AU - Izbicki, Jean Louis

PY - 2013

Y1 - 2013

N2 - In this paper, guided ultrasonic wave propagation is analyzed in an elastic plate with sinusoidal surface corrugations. The corrugated area acts as a finite-length grating which corresponds to a 1-D phononic crystal (PC). The multiple-scale perturbation technique is used to derive coupled-mode equations describing the amplitudes of interacting modes. These equations are solved exactly for the two-point boundary-value problem of the PC. The study involves the coupling of the incident symmetric Lamb wave S0 to the reflected antisymmetric Lamb wave A0. The influences of the depth of corrugation and length of the PC are studied. Theoretical results are compared with experimental measurements.

AB - In this paper, guided ultrasonic wave propagation is analyzed in an elastic plate with sinusoidal surface corrugations. The corrugated area acts as a finite-length grating which corresponds to a 1-D phononic crystal (PC). The multiple-scale perturbation technique is used to derive coupled-mode equations describing the amplitudes of interacting modes. These equations are solved exactly for the two-point boundary-value problem of the PC. The study involves the coupling of the incident symmetric Lamb wave S0 to the reflected antisymmetric Lamb wave A0. The influences of the depth of corrugation and length of the PC are studied. Theoretical results are compared with experimental measurements.

UR - https://www.scopus.com/pages/publications/84873868277

U2 - 10.1109/TUFFC.2013.2575

DO - 10.1109/TUFFC.2013.2575

M3 - Article

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VL - 60

SP - 395

EP - 401

JO - IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control

JF - IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control

IS - 2

M1 - 6416494

ER -

A multiple-scale perturbation approach to mode coupling in periodic plates

Abstract

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