Abstract

Vibration of an elastic cavitating wing in periodically perturbed flows is analyzed. Because cavity thickness and length are perturbed, too, an excitation with a fixed frequency leads to a parametric vibration of the wing, and this vibration spectra’s amplitudes have nonlinear dependencies on amplitudes of the perturbations. Numerical analysis was carried out for two-dimensional flow of an ideal fluid. Wing vibration was described by the equation for a beam in bending motions. As a result, two frequency bands of an essential vibration increase are found. A high-frequency band is mainly associated with an elastic resonance of the wing, and a cavity can do certain damping there. A low-frequency band is associated with cavity volume oscillations. The governing parameter for the low-frequency vibration is the Strouhal number (Sh) based on the cavity length. The most significant vibration in the low-frequency band corresponds to approximately constant values of Sh and has the most extensive subharmonics.

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