Effect of the Rotation on the Radial Vibrations in a Non-Homogeneous Orthotropic Hollow Cylinder

ABSTRACT

In the present paper, the redial harmonic vibrations of hollow cylinders of orthotropic material as affected by the angular velocity are discussed on the basis of the linear theory of elasticity. The one-dimensional equation of elastodynamics has been solved in terms of radial displacement. Three different boundary conditions, the free, fixed and mixed ones are considered. The determination of the eigenfrequencies of radial harmonic vibrations under-different boundary conditions is presented. Numerical results are given and illustrated graphically for each case. Comparisons are made with previous results given in the literature in the absence of rotation and non-homogeneity.