Abstract
The aim of this paper is to study the effects of rotation and magnetic field on the plane vibrations in a transversely isotropic material of an infinite hollow cylinder. The natural frequency of the plane vibrations in the case of harmonic vibrations has been obtained. The natural frequencies are calculated numerically and the effects of rotation and magnetic field are discussed. The numerical results obtained have been illustrated graphically to understand the behavior of frequency equation with different values of frequency omega under effects the rotation and magnetic field. Comparison was made with the results obtained in the presence and absence of the rotation and magnetic field. The results indicate that the effect of rotation and magnetic field are very pronounced.