Article: Fluid-Induced Vibration Frequency and Damping of a Coaxial Cylinder in a Quiescent Viscous Medium: Theoretical and Numerical Predictions.
This study, motivated by applications in nuclear engineering, examines the fluid-induced vibrations of a flexible inner cylinder concentrically positioned within a rigid outer cylinder, separated by a quiescent Newtonian viscous fluid. Building on our previous work, which focused on forced motions, we extend the theoretical formulation to account for vibrations induced by fluid forces. A new expression for the linear fluid force is derived, introducing a fluid transfer function that depends on key dimensionless numbers such as the aspect ratio, radius ratio, and Stokes number.
