International Journal of Mathematics and Mathematical Sciences
Volume 17 (1994), Issue 1, Pages 181-185

Torsional vibrations of nonhomogeneous magnetostrictive elastic circular cylinder

A. N. Abd-Alla and Lokenath Debnath

Received 7 July 1992; Revised 1 September 1993

Copyright © 1994 A. N. Abd-Alla and Lokenath Debnath. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper is concerned with the torsional vibrations of a nonhomogeneous magnetostrictive elastic cylinder. The cylinder is subjected to the action of a circumferential magnetic field produced by an axial current of constant density and the deformation of a magnetostrictive cylinder is produced by a constant longitudinal magnetic field. The frequency equation is determined, and the displacement and stress components are numerically calculated with graphical presentations.