Torsional wave propagation in an orthotropic magneto-elastic hollow circular cylinder

摘要

The aim of this work is to present numerical data on the velocities of torsional vibrations of a perfectly conducting orthotropic hollow circular cylinder in the presence of an axail magnetic field. The extremes of the geometry are investigated. The values of the characteristic numbers governing the velocities of the first five models for various geometries of the circular cylinder are numerically computed. The phase velocities of the disturbances for the different wave numbers corresponding to the first five modes are calculated. It is found that torsional wave phase velocities increase with decreasing wall thickness of the hollow circular cylinder for all modes and increase with the higher modes of motion.