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

IEEE Trans Ultrason Ferroelectr Freq Control. 2013 Feb;60(2):395-401. doi: 10.1109/TUFFC.2013.2575.

Authors

Omar Asfar¹, Muhammad Hawwa, Maxime Bavencoffe, Bruno Morvan, Jean-Louis Izbicki

Affiliation

¹ Department of Electrical Engineering, Jordan University of Science and Technology, Irbid, Jordan.

PMID: 23357913
DOI: 10.1109/TUFFC.2013.2575

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 S(0) to the reflected antisymmetric Lamb wave A(0). The influences of the depth of corrugation and length of the PC are studied. Theoretical results are compared with experimental measurements.