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A multiple-scale perturbation approach to mode coupling in periodic plates
Omar Asfar1, Muhammad Hawwa, Maxime Bavencoffe
1Department of Electrical Engineering, Jordan University of Science and Technology, Irbid, Jordan.
Summary
This study analyzes guided ultrasonic waves in corrugated plates, treating them as 1-D phononic crystals. Researchers found that corrugation depth and phononic crystal length significantly influence wave propagation and mode coupling.
Area of Science:
- Solid Mechanics
- Acoustics
- Materials Science
Background:
- Guided ultrasonic waves are crucial for non-destructive testing.
- Surface corrugations can create phononic crystals (PCs) that manipulate wave propagation.
- Understanding wave interaction with finite-length PCs is essential for device design.
Purpose of the Study:
- To analyze guided ultrasonic wave propagation in an elastic plate with sinusoidal surface corrugations.
- To model the corrugated area as a finite-length one-dimensional phononic crystal (PC).
- To investigate the coupling between incident symmetric Lamb wave S(0) and reflected antisymmetric Lamb wave A(0).
Main Methods:
- Utilizing the multiple-scale perturbation technique to derive coupled-mode equations.
- Solving these equations for the two-point boundary-value problem of the PC.
- Comparing theoretical predictions with experimental measurements.
Main Results:
- The study successfully models the interaction of guided ultrasonic waves with a finite-length phononic crystal.
- The depth of corrugation and the length of the PC were identified as key parameters influencing wave behavior.
- Theoretical results showed good agreement with experimental data.
Conclusions:
- The multiple-scale perturbation technique provides an effective method for analyzing guided wave propagation in corrugated structures.
- Finite-length phononic crystals exhibit unique wave manipulation properties that are dependent on structural parameters.
- This research contributes to the understanding and design of ultrasonic devices for sensing and material characterization.
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