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Damping of flexural vibrations in thin plates using one and two dimensional acoustic black hole effect

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conference contribution
posted on 16.05.2012, 10:13 by Daniel O'BoyDaniel O'Boy, E.P. Bowyer, Victor V. Krylov
The reduction of flexural vibration in thin plates is examined using the acoustic black hole effect associated with nearly zero reflection of quasi-plane waves from a lightly damped wedge or tapered hole where the profile varies according to a power-law. The flexural wave propagation can be determined through the application of geometrical acoustics approximation or exact analytical solutions. For a plate of thickness of power-law profile, the wave slows down and grows in amplitude. In the ideal case of no truncation of the quadratic (or higher) profile, the phase speed asymptotically decreases to zero and the wave never reaches the end. Manufactured plates always have a truncation, leading to relatively high reflection coefficients, however, the application of small damping layers leads to substantial decreases in the reflection coefficients and thus large reductions in mobility amplitudes. This paper contains the results of numerical models and experimental measurements of point mobility for structural plates incorporating tapered holes for validation. A rectangular plate with a 1D wedge on one end is examined, in addition to a circular plate with a quadratic profile in the centre. In both cases, the measurements show significant reductions in resonant peaks of mobility, in good agreement to numerical predictions.

History

School

  • Aeronautical, Automotive, Chemical and Materials Engineering

Department

  • Aeronautical and Automotive Engineering

Citation

O'BOY, D.J., BOWYER, E.P. and KRYLOV, V.V., 2010. Damping of flexural vibrations in thin plates using one and two dimensional acoustic black hole effect. 10th International Conference on Recent Advances in Structural Dynamics (RASD 2010), Southampton, UK, 12 - 14 July.

Publisher

European Acoustics Association (EAA)

Version

AM (Accepted Manuscript)

Publication date

2010

Notes

This conference paper was presented at the Tenth International Conference on Recent Advances in Structural Dynamics (RASD 2010) at Southampton University, United Kingdom, on 12-14 July 2010. It was a special EAA event (http://www.european-acoustics.org/event-calendar/list_of_events/2010/event.2009-09-28).

Language

en