Analysis of the Destabilizing Effect of a Rigid Wall on the Elastic One-Dimensional Flat Plate Placed in Irrotational Flows Adjoining the Rigid Wall

Abstract

The destabilizing effect of a rigid wall on the elastic one-dimensional flat plate placed in uniform irrotational flows adjoining a rigid wall was analyzed by means of linear potential theory. The dynamic characteristics of the fluid forces acting upon the disturbed elastic plate were identified, and it was speculated that the destabilizing effect was caused by the increase in the virtual mass of fluid situated on the wall side of the uniform flows partitioned by the elastic plate and by the decrease in the critical stable flow velocity.