Abstract

A thin elastic sheet is wrapped around a rigid curved surface; the latter renders the stiffness of the sheet effectively nonlinear. Examples of such a configuration in practice include the NASA Skylab Space Project and certain submarine geometries. The static hydroelastic stability of the sheet is examined for a (subsonic) flow along the axis of the sheet and the longitudinal axis of the curved rigid surface. The minimum flow velocity for which the elastic sheet will deform (buckle) is determined as well as the amplitude of the deformation as a function of flow velocity.

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