%0 Journal Article
%T Improvement of the acoustic black hole effect by using energy transfer due to geometric nonlinearity
%+ Laboratoire d'Acoustique de l'Université du Mans (LAUM)
%+ Institut des Sciences de la mécanique et Applications industrielles (IMSIA - UMR 9219)
%A Denis, Vivien
%A Pelat, Adrien
%A Touzé, Cyril
%A Gautier, François
%< avec comité de lecture
%@ 0020-7462
%J International Journal of Non-Linear Mechanics
%I Elsevier
%S A Conspectus of Nonlinear Mechanics: A Tribute to the Oeuvres of Professors G. Rega and F. Vestroni
%V 94
%P 134-145
%8 2017
%D 2017
%R 10.1016/j.ijnonlinmec.2016.11.012
%K Acoustic black hole
%K Wave turbulence
%K Damping
%K Flexural vibration
%K Geometric nonlinearity
%K Modal coupling
%Z Nonlinear Sciences [physics]
%Z Engineering Sciences [physics]/Acoustics [physics.class-ph]
%Z Engineering Sciences [physics]/Mechanics [physics.med-ph]/Vibrations [physics.class-ph]Journal articles
%X Acoustic Black Hole effect (ABH) is a passive vibration damping technique without added mass based on flexural waves properties in thin structures with variable thickness. A common implementation is a plate edge where the thickness is locally reduced with a power law profile and covered with a viscoelastic layer. The plate displacement in the small thickness region is large and easily exceeds the plate thickness. This is the origin of geometric nonlinearity which can generate couplings between linear eigenmodes of the structure and induce energy transfer between low and high frequency regimes. This phenomenon may be used to increase the efficiency of the ABH treatment in the low frequency regime where it is usually inefficient. An experimental investigation evidenced that usual ABH implementation gives rise to measurable geometric nonlinearity and typical nonlinear phenomena. In particular, strongly nonlinear regime and wave turbulence are reported. The nonlinear ABH beam is then modeled as a von Kármán plate with variable thickness. The model is solved numerically by using a modal method combined with an energy-conserving time integration scheme. The effects of both the thickness profile and the damping layer are then investigated in order to improve the damping properties of an ABH beam. It is found that a compromise between the two effects can lead to an important gain of efficiency in the low frequency range.
%G English
%2 https://ensta-paris.hal.science/hal-01442428/document
%2 https://ensta-paris.hal.science/hal-01442428/file/TNANL_hal.pdf
%L hal-01442428
%U https://ensta-paris.hal.science/hal-01442428
%~ CEA
%~ ENSTA
%~ CNRS
%~ UNIV-LEMANS
%~ ENSTA_UME
%~ CEA-UPSAY
%~ UNIV-PARIS-SACLAY
%~ CEA-UPSAY-SACLAY
%~ ENSTA-SACLAY
%~ EDF
%~ LAUM
%~ TEST-HALCNRS