The study focuses on the propagation of SH waves in an elastic plate whose material properties are sinusoidally varying in the direction of propagation. In light of the weak variation of the materials properties, the perturbation method of multiple scales is utilized to analyze the modal interaction which occurs upon the satisfaction of certain resonant conditions. The derived coupled-mode equations together with relevant boundary conditions at the ends of the inhomogeneous section form a two-point boundary value problem, which is solved numerically. The power reflection coefficient is then calculated to present the reflection characteristics of the plate.
Issue Section:
Technical Papers
1.
Asfar
O. R.
Hussein
A. M.
1989
, “Numerical Solution of Linear Two-Point Boundary-Value Problems Via the Fundamental Matrix Method
,” International Journal of Numerical Methods in Engineering
, Vol. 28
, pp. 1205
–1216
.2.
Brillouin, L., 1953, Wave Propagation in Periodic Structures, Dover Publications, New York.
3.
Elachi
C.
1976
, “Waves in Active and Passive Periodic Structures: A Review
,” Proceedings of the IEEE
, Vol. 64
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.4.
Nayfeh, A. H., 1981, Introduction to Perturbation Techniques, John Wiley and Sons, New York.
5.
Nayfeh
A. H.
Nemat-Nasser
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1972
, “Elastic Waves in Inhomogeneous Elastic Media
,” ASME JOURNAL OF APPLIED MECHANICS
, Vol. 39
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Watanabe
K.
1984
, “Plane SH-Waves in Harmonically Inhomogeneous Elastic Media
,” Wave Motion
, Vol. 6
, pp. 477
–488
.
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