Hydroelastic Instability of Infinitely Long Magnetoelastic Plates

Abstract

The hydroelastic instability of an infinitely long ferromagnetic plate exposed on one side to a high velocity flow of a heavy nonconducting fluid and placed in a uniform magnetic field normal to the plate is soft linear material. The analysis is based on the small deflection plate theory, a quasistatic model of the magnetoelastic interaction and the classical linearized potential flow theory. Assuming a plate deflection in the form of traveling waves, Galerkin's method and Fourier transforms are used to derive a characteristic equation, from which both the velocities of divergence and flutter are determined for a wide range of mass ratio and magnetic field. An increase in the transverse magnetic of mass ratio and magnetic field. An increase in the transverse magnetic field is found to decrease both the velocities of divergence and flutter.