Resonant Interaction of an Air Flow with Bending Vibrations of a Finite Elastic Plate

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.