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Journal Articles Journal of Fluids and Structures Year : 2007

Flutter of a rectangular plate


We address theoretically the linear stability of a variable aspect ratio, rectangular plate in an uniform and incompressible axial flow. The flutter modes are assumed to be two-dimensional but the potential flow is calculated in three dimensions. For different values of aspect ratio, two boundary conditions are studied: a clamped-free plate and a pinned-free plate. We assume that the fluid viscosity and the plate viscoelastic damping are negligible. In this limit, the flutter instability arises from a competition between the destabilising fluid pressure and the stabilising flexural rigidity of the plate. Using a Galerkin method and Fourier transforms, we are able to predict the flutter modes, their frequencies and growth rates. The critical flow velocity is calculated as a function of the mass ratio and the aspect ratio of the plate. A new result is demonstrated: a plate of finite span is more stable than a plate of infinite span.

Dates and versions

hal-00140325 , version 1 (05-04-2007)



Christophe Eloy, Claire Souilliez, Lionel Schouveiler. Flutter of a rectangular plate. Journal of Fluids and Structures, 2007, 23, pp.904-919. ⟨10.1016/j.jfluidstructs.2007.02.002⟩. ⟨hal-00140325⟩
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