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Propagation of localized vibration modes along edges of immersed wedge-like structures: geometrical-acoustics approach

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posted on 08.01.2013, 11:56 authored by Victor V. Krylov
The theory of antisymmetric localized elastic modes propagating along edges of immersed wedgelike structures is developed using the geometrical-acoustics approach to the description of flexural waves in elastic plates of variable thickness. The velocities of these modes, often called wedge acoustic waves, are calculated using solutions of the dispersion equation of Bohr - Sommerfeld type following from the geometrical-acoustics description of localized wedge modes. In a subsonic regime of wave propagation, i.e., for wedge modes being slower than sound in liquid, the influence of liquid loading results in significant decrease of wedge wave velocities in comparison with their values in vacuum. This decrease is a nonlinear function of a wedge apex angle θ and is more pronounced for small values of θ. In a supersonic regime of wedge wave propagation, a smaller decrease in velocities takes place and the waves travel with the attenuation due to radiation of sound into surrounding liquid. The comparison is given with the recent experimental investigations of wedge waves carried out by independent researchers.

History

School

  • Aeronautical, Automotive, Chemical and Materials Engineering

Department

  • Aeronautical and Automotive Engineering

Citation

KRYLOV, V.V., 1999. Propagation of localized vibration modes along edges of immersed wedge-like structures: geometrical-acoustics approach. Journal of Computational Acoustics, 7 (1), pp.57-70.

Publisher

© World Scientific Publishing Co.

Version

AM (Accepted Manuscript)

Publication date

1999

Notes

This is the electronic version of an article published as: KRYLOV, V.V., 1999. Propagation of localized vibration modes along edges of immersed wedge-like structures: geometrical-acoustics approach. Journal of Computational Acoustics, 7 (1), pp.57-70 [DOI:10.1142/S0218396X99000060] © World Scientific Publishing Company.

ISSN

0218-396X

eISSN

1793-6489

Language

en

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