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Modal Overlap Factor of a beam with an acoustic black hole termination

Vivien Denis 1 Adrien Pelat 1 François Gautier 1 Benjamin Elie 2
2 MULTISPEECH - Speech Modeling for Facilitating Oral-Based Communication
Inria Nancy - Grand Est, LORIA - NLPKD - Department of Natural Language Processing & Knowledge Discovery
Abstract : Acoustic Black Hole (ABH) effect is a passive vibration reduction technique which takes advantage of properties of wave propagation in thin structures of varying thickness. A practical implementation of ABH on a uniform beam consists in an extremity whose thickness follows a power-law profile covered by a very thin layer of additional damping material. A modal analysis based on a High Resolution technique shows that the ABH significantly increases the Modal Overlap Factor (MOF) of the beam, thus reducing the resonant behaviour of the structure. Further investigations, including a two dimensional numerical model of the structure based on the finite difference method, show that this MOF can be explained by an increase of the modal density and a high damping of a number of modes of the structure due to the ABH.
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Vivien Denis, Adrien Pelat, François Gautier, Benjamin Elie. Modal Overlap Factor of a beam with an acoustic black hole termination. Journal of Sound and Vibration, Elsevier, 2014, 333 (12), pp.2475-2488. ⟨10.1016/j.jsv.2014.02.005⟩. ⟨hal-01288274⟩



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