Vibrations of an infinite plate placed in a circular channel containing fluid flow

摘要

Purpose - The purpose of this paper is to investigate the linear vibrations of an elastic plate subject to irrotational, incompressible fluid flow bounded by a rigid cylinder. Design/methodology/approach - The plate is placed diametrically in the cylinder and extends along it, both infinite in length. The fluid flow is in the axial direction of the cylinder. Findings - The problem is solved analytically and the eigenfrequencies are obtained explicitly. Originality/value - The solution offered in this paper allows investigation of the instabilities and computation of the flutter velocity/minimum flow velocity at which the plate vibrations grow in time.