Flutter of a rectangular plate

The origin of hysteresis in the flag instability

“…This system is solved by the same method as in our previous papers (Eloy et al 2007(Eloy et al , 2008, except that dissipative terms are retained in the analysis. The main steps of this linear stability analysis are as follow.…”

“…When the plate aspect ratio is asymptotically small however, the aerodynamic forces can be modelled using slender-body theory (Datta & Gottenberg 1975;Lemaitre et al 2005). The studies in these two asymptotic limits have been recently generalised by Eloy et al (2007) and Doaré et al (2011) who considered intermediate aspect ratios and confinement effects.…”

Static instability analysis for travelling membranes and plates interacting with axially moving ideal fluid

“…Pramila 1986), and for stationary structures in axial flow (e.g. Eloy et al 2007). In this study, we will combine these two cases, solving the problem for a travelling web subjected to axial flow.…”

“…Also, the numerical methods used for such problems are readily applicable here. Eloy et al (2007) and Huang (1995), for example, have studied the flutter of a cantilevered plate. In both of the studies, a Galerkin approach with the vacuum vibration modes as the basis was used.…”

Effect of spanwise confinement on flag flutter: Experimental measurements

“…7,8 The 2D problem of a beam of finite length and infinite span in a potential flow has been first solved by Kornecki et al 4 Many other 2D models and numerical simulations followed. 9 As these 2D works always underestimated the critical velocity when compared to experimental data, a 3D model for the flow was proposed by Eloy et al 10 Involving matching slender-body theory to 2D theory, this model evidenced the influence of the plate's aspect ratio on the critical velocity and was found to improve the flutter limit predictions. 11 It was, however, admitted that it is possible to approach the limit predicted by 2D models by adding horizontal walls near both edges of the plate.…”