Comparison of Different Methods for Thermoelastic Analysis of Functionally Graded Rotating Disks

In this paper the thermoelastic behavior of a functionally graded (FG) rotating disc with variable thickness is investigated with different methods. For this purpose, the temperature gradient along the disc radius is obtained by solving the governing heat transfer differential equation. Using this temperature gradient, Navier differential equation is developed. All the thermo mechanical properties of the material are obtained using the power law function of radius. The solution of governing differential equations is obtained using different analytical, semi-analytical and Differential Quadrature Method (DQM). Also, the results are compared with those obtained using finite element analysis. Considering that, the closed-form solution of these equations seems unlikely, determining the appropriate solution method with the sufficient accuracy and acceptable solution time is important especially for optimization purposes. The results indicate that the semi-analytical method is more appropriate in terms of accuracy and solution time comparing with other methods.