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Scattering of flexural waves on thin plates

โœ Scribed by A.N. Norris; C. Vemula

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
502 KB
Volume
181
Category
Article
ISSN
0022-460X

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โœฆ Synopsis

Some general results are presented concerning the scattering of flexural waves from regions of inhomogeneity on flat plates. We derive a flux conservation relation for arbitrary motion, and show that it simplifies for periodic motion. An optical theorem is obtained relating the total scattered flux for a straight-crested incident wave to the scattering amplitude in the forward direction. Scattering by circular inclusions with different plate properties is discussed, and numerical results are presented. The response simplifies for the limiting cases of a hole and a rigid obstacle, but with quite different behavior for each. A rigid obstacle can produce an unbounded scattering cross-section as the frequency tends to zero, whereas the cross-section of a hole vanishes in the same limit.

๐Ÿ“œ SIMILAR VOLUMES

Flexural wave propagation and scattering
Flexural wave propagation and scattering on thin plates using Mindlin theory
โœ C. Vemula; A.N. Norris ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 843 KB

The theory of scattering for flexural waves is developed for an elastic heterogeneity in a flat thin plate in the context of Mindlin's theory. Some new results are derived for energy flux and contrasted with the equivalent results in Kirchhoff plate theory. Numerical examples are presented for scatt