Hydroelastic Characteristics of Flexible Supercavitating Hydrofoils Report 2. Two-dimensional Theory at Zero Cavitation Number when Supported Elastically

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Hydroelastic instabilities of elastic supercavitating hydrofoils on elastic supports are investigated. Expressions are presented for the pressure distribution, lift and moment acting on the oscillating foil which is chordwise flexible and elastically restrained in translation normal to the free-stream direction and in rotation about a prescribed axis which is normal to the plane of flow. By using these expressions, critical values of chordwise bending flutter, chordwise bending divergence, bending-torsional flutter, torsional divergence and cavitation inception on the pressure side are obtained numerically. From the results it has been deduced that chordwise bending flutter is possible but chordwise bending divergence is not. Furthermore it is shown that bending-torsional flutter boundary is influenced considerably by chordwise flexibility in high speed flow.
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