Elastic analysis of functionally graded rotating pressure vessels

In this study, elastic analysis of functionally graded rotating hollow cylindrical and spherical pressure vessels is investigated. It is assumed that the cylinder and the sphere are formed gradually from the mixture of metal and aluminum in the radial direction and this grading is made by the Halpin-Tsai model. Under these conditions, the boundary value problem with variable coefficients, which cannot be solved by conventional analytical methods, is obtained. The solution of this problem is obtained by using the Pseudospectral Chebyshev Method. 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 solutions available in the literature are used to validate the results obtained in this study. The effects of rotation with a mixture of randomly selected metal and aluminum on the stress and displacement distributions are shown on the graph.