Duality of the supercritical solutions in magnetoacoustic wave phase conjugation

Merlen, Alain; Zhang, Qi; Voinovich, P. A.; Timofeev, Edward N.

doi:10.1016/j.wavemoti.2009.02.003

Cited by 5 publications

(1 citation statement)

References 17 publications

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“…In case of a finite area of the fluid-air interface, the boundary conditions select countable wave lengths and several stationary mode shapes are solution of the problem [11]. The mode shape which has the greater amplification coefficient appears [12,13]. In case of an infinite area, this amplification coefficient will select the shape of the free surface among elementary cell patterns (roll, hexagon or square) (Fig.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear damping of a plate using Faraday instability of a fluid film

Génevaux¹,

Lanfranchi²,

Doutres³

2009

Journal of Sound and Vibration

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Damping using an instability of a fluid film in contact with a vibrating structure is investigated. Waves induced in the fluid film are the source of the added damping. A model based on the theory of Faraday instability is applied to a clamped circular plate covered by a fluid film. It is shown that this original technique can provide a significant damping, as with viscoelastic or porous material treatments. It is related to the amplitude of the waves which is a non linear function of the plate acceleration. Theoretical and experimental results are compared. The model overestimates the added damping: it is four times greater than the measured one.

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Section: Introductionmentioning

confidence: 99%