Dynamical bending analysis of functionally graded infinite cylinder with rigid core

Analytical solution for functionally graded infinite hollow cylinder with rigid core is developed. Material properties like Young’s modulus and density of the infinite cylinder are assumed to be graded in the radial direction according to a novel power-law distribution. The governing second-order differential equation is derived from the equilibrium equations, deformation theory of elasticity and the stress–strain relationships, and it is solved in terms of Bessel’s functions. Dependence of displacement of and stresses in the cylinder on the functionally graded parameters is examined. Proposed solution is validated by comparing the results for functionally graded infinite cylinders to the results for the homogeneous ones.