Abstract
A theoretical analysis is made of the stability of a partially rigid two-dimensional surface embedded in the uniform flow of an incompressible inviscid fluid. Membranes, simply supported panels and clamped panels, attached at their leading and trailing edges to rigid flat extensions aligned with the undisturbed flow direction, are considered and numerical results are obtained, by using the Galerkin method, showing how the stability varies with the change in length of the upstream and downstream rigid elements. Similar results are obtained for a cantilever panel attached to a leading edge rigid surface modelling the aerofoil or splitter plate used in experiments. The effects of structural damping are included where appropriate and comparisons made with other relevant theoretical and experimental results.
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