Stability Analysis of Elastic Plate in Axial Subsonic Flow

Abstract

The stability and dynamics of the two-dimensional elastic plate with simply supported boundary conditions in uniform axial subsonic flow were studied. The governing equations of coupled elastic plate in axial flow were derived based on the potential theory. The finite difference method was employed to discrete the governing equation and the flow potential function. The governing equation can be expressed as the function of structural transverse vibration displacement by the matrix operations. The eigenvalue method was used to analyze the stability of the elastic plate, the results of which show that the models with simply supported boundary conditions undergo divergent instability when flow velocity reaches the critical value, the critical divergence velocity is in close agreement with theoretical result using other analytical approaches.