Membrane flutter induced by radiation of surface gravity waves on a uniform flow

Labarbe, Joris and Kirillov, Oleg (2020) Membrane flutter induced by radiation of surface gravity waves on a uniform flow. Journal of Fluid Mechanics. ISSN 0022-1120 (In Press)

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We consider stability of an elastic membrane being on the bottom of a uniform horizontal flow of an inviscid and incompressible fluid of finite depth with free surface. The membrane is simply supported at the leading and the trailing edges which attach it to the two parts of the horizontal rigid floor. The membrane has an infinite span in the direction perpendicular to the direction of the flow and a finite width in the direction of the flow. For the membrane of infinite width we derive a full dispersion relation that is valid for arbitrary depth of the fluid layer and find conditions for the flutter of the membrane due to emission of surface gravity waves. We describe this radiation-induced instability by means of the perturbation theory of the roots of the dispersion relation and the concept of negative energy waves and discuss its relation to the anomalous Doppler effect.

Item Type: Article
Uncontrolled Keywords: Fluid-structure interactions, water waves, radiation-induced instability, membrane flutter, surface gravity waves, anomalous Doppler effect, negative energy waves, instabilities
Subjects: F300 Physics
F500 Astronomy
G100 Mathematics
H400 Aerospace Engineering
Department: Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Related URLs:
Depositing User: Elena Carlaw
Date Deposited: 29 Apr 2020 09:32
Last Modified: 07 Jul 2020 10:00

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