The linear stability of rectangular plates with free side-edges in inviscid channel flow is studied theoretically. The Galerkin method and Fourier transform technique are employed to solve the plate and potential flow equations. A new approach is introduced to treat the mixed fluid-plate interaction boundary condition, which leads to a singular integral equation. Divergence, single-mode flutter, and coupled-mode flutter are found for plates supported differently at the leading and trailing edges. In some cases, single-mode flutter at vanishingly small flow velocity is predicted. The effects of mass ratio and channel-height-to-plate-length ratio on critical velocity are studied. An energy balance analysis shows how different types of instability arise for plates with different supports. [S0021-8936(00)01801-8]

Issue Section:
Technical Papers
Keywords:
channel flow, load distribution, stability, Galerkin method
Topics:
Channel flow, Flow (Dynamics), Flutter (Aerodynamics), Plates (structures), Stability, Boundary-value problems, Pressure
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