Axial Leakage Flow-induced Vibration of a Thin Cylindrical Shell with Respect to Axisymmetric Vibration

Abstract

In this paper, the axial leakage flow-induced vibration of a thin cylindrical shell is reported. We focus on the axisymmetric vibration of a shell for the vibration of a thin cylindrical shell subjected to axial leakage flow. The coupled equations between a shell and a fluid are obtained by using the Donnell's shell theory and the Navier-Stokes equation. The coupled equations are derived by utilizing unsteady fluid forces acting on a shell. The influence of the axial flow velocity on the unstable phenomena is clarified concerning axisymmetric vibration of a shell. The numerical calculations are performed taking the dimensions of shell and fluid as parameters.