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Communication Dans Un Congrès Année : 2006

Flutter of a Rectangular Cantilevered Plate

Résumé

We address theoretically the flutter instability of a rectangular cantilevered plate in an axial flow. Although this model problem of fluid-structure interaction has been studied continuously since the pioneering work of Lord Rayleigh in 1879, the existing theoretical models are unable to predict accurately the instability threshold. Indeed the experiments show that the system is much more stable than the actual predictions (Kornecki et al. 1976; Watanabe et al. 2002). In the present study, we re-examine this problem by taking into account the three-dimensionality of the flow. For a rectangular plate of finite aspect ratio, we have developed a linear model of 2D fluttering coupled to a 3D flow. The aspect ratio is defined as H/L, where H is the plate span and L its length. The flow is examined in the Fourier space, both in the span- and streamwise direction. An asymptotic theory is carried out to express the fluid load on the plate as powers of L/H. At first order, we recover the results of existing theories for plates of infinite span (Guo & Paidoussis 2000). The second and third orders are found to lower the pressure on the flag, resulting in a stabilizing effect. The present theoretical study predicts that the instability threshold is a decreasing function of H/L in agreement with recent experimental results. Previous experimental works of Huang (1995) are also reassessed in light of the present theory and an excellent agreement is found.
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Dates et versions

hal-00084761 , version 1 (10-07-2006)

Identifiants

  • HAL Id : hal-00084761 , version 1

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Christophe Eloy, Claire Souilliez, Lionel Schouveiler. Flutter of a Rectangular Cantilevered Plate. 2006 ASME Pressure Vessels and Piping Division Conference, Jul 2006, Vancouver, Canada. 10 p. ⟨hal-00084761⟩
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