Abstract
A rather simple analytical result is derived for the aerodynamic forces acting on a cascade of unloaded flat plates vibrating in subsonic flow. The principal assumptions are that the frequency and the inter-blade phase angle are both small. This enables the flow through the blades to be treated as quasi-steady, and the Prandtl-Glauert transformation is used to allow for the effect of compressibility. The blade force is zero near the resonance or cut-off points, with wild behaviour near these points. Bending vibration is always found to be damped, but flutter in pure torsion is always predicted.
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