GEOMETRICAL-ACOUSTICS CONSIDERATION OF THE FLEXURAL MODES IN IMMERSED ANISOTROPIC WEDGES
✍ Scribed by A.L. SHUVALOV; V.V. KRYLOV
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 138 KB
- Volume
- 237
- Category
- Article
- ISSN
- 0022-460X
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✦ Synopsis
Geometrical-acoustics approach interprets vibration modes localized at the edge of wedges as the quasi-plane #exural waves propagating in a plate of variable thickness. This approach is combined with the dispersion relation for #exural wave in a thin anisotropic #uid-loaded plate to analytically determine the subsonic velocities c of the localized modes in anisotropic immersed wedges. The transcendent equation in c is established for an arbitrarily anisotropic wedge material and a general case of the wedge}#uid coupling. An approximate explicit solution for c is obtained in the cases when the parameter of the wedge-#uid coupling n/r is either small or large (here is the apex angle, n is the modal order, and r is the ratio of the #uid density and the wedge density). In both cases, the ratio of the wedge-mode velocities c/c in the immersed and free wedge is a corresponding function of the coupling parameter n/r. Provided that the wedge}#uid coupling is su$ciently pronounced, the ratio c/c in the presence of anisotropy acquires the scaling factor, which depends appropriately on elastic coe$cients of the wedge and turns to unity in the isotropic limit.
2000 Academic Press