Torsional Vibration of a Non-Homogeneous Composite Cylindrical Shell Subjected to a Magnetic Field

Abstract

This paper investigates the propagation of torsional wave in a non-homogeneous composite cylindrical shell characterised by an aeolotropic material in the region r/sub 1/ grater than equal r grater than equal r /sub 2/ and visco-elastic material representing a parallel union of Kelvin and Maxwell bodies in the region r/sub 2/ greater than equal r/ greater than equal r/sub 3/. The non-homogeneity of the shell is due to the variable elastic constants C/sub i/ sub j/, variable density p and variable shear modulus p. Lastly, frequency equation and phase velocity of the wave have been calculated. The perturbation equations of the field the torsional vibration of aeolotropic as well as visco-elastic shell have also been investigated.