Elastic analysis of functionally graded rotating hollow cylindrical pressure vessels is investigated. The
material properties of these structures, thought to be formed gradually from a mixture of metal and
aluminum, were graded using the Halpin-Tsai scheme. These conditions result in a variable coefficient boundary value problem that may not be solved by conventional analytical methods. The solution to this problem is handled by the pseudospectral Chebyshev method (PCM). Based on the differential matrix approach, this method transforms the differential equation into a linear equation system, making it easily solvable by any decomposition method. The effects of rotation with a mixture of randomly selected
metal and aluminum on the stress and displacement distributions are discussed.