The Rotating Inhomogeneous Elastic Cylinders of Variable-Thickness and Density


In this paper, an analytical solution is developed for the rotation problem of an inhomogeneous orthotropic cylinder with variable-thickness and density under plane strain assumption. The thickness of the cylinder and the elastic constants are taken as exponential functions in the radial direction but the density in a power law form. The cylinder may be solid or hollow with traction-free surface or clamped. On application of the boundary conditions, the stress and displacement for rotating homogeneous isotropic solid and hollow cylinders with uniform-thickness and density are obtained as special cases of the studied problem. Numerical results for stresses and displacement are presented in graphical forms. The effects of many parameters on stresses and displacement are investigated.