An analytical model of the ovalling oscillations of clamped-free and clamped-clamped cylindrical shells in cross-flow

This paper deals with an analytical model of the ovalling phenomenon or the aeroelastic oscillations of clamped-free and clamped-clamped cylindrical shells. Shells of finite length are exposed to a steady two-dimensional incompressible and irrotational cross-flow, with their wall assumed homogeneous, isotropic and elastic. The governing equations of motion, based on Donnell's theory, are coupled to an aerodynamic force taking into account the Reynolds number. The model is tested with 18 shells (34 tests, of which 14 had clamped-free conditions and 20 had clamped-clamped conditions) and its predictions of the ovalling onset velocity are in good agreement with the experimental results.

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