Trapped modes in curved elastic plates

We investigate the existence of trapped modes in elastic plates of constant thickness, which possess bends of arbitrary curvature and flatten out at infinity; such trapped modes consist of finite energy localized in regions of maximal curvature. We present both an asymptotic model and numerical evid...

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Veröffentlicht in:	Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences Mathematical, physical, and engineering sciences, 2005-04, Vol.461 (2056), p.1181-1197
Hauptverfasser:	Gridin, Dmitri, Craster, Richard V, Adamou, Alexander T.I
Format:	Artikel
Sprache:	eng
Schlagworte:	Bound States Boundary conditions Curvature Curved Plate Eigenvalues Elastic plates Elastic Waveguide Group velocity Infinity Ordinary differential equations Perturbation Methods Resonant frequencies Spectral methods Trapped Modes Waveguides
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