Abstract
Resonant interaction of an elastic plate with an air bypassing it and leading to the development of a wind instability is studied. The dispersive equation of bending vibrations is derived and investigated. Conditions for bending wave amplification and non-transmission are found. The spectrum of complex natural vibration frequencies is determined for a plate with finite dimensions, pivotally fixed at the ends and located in air flow bypassing it. The main parameters of the wind instability are determined.
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