Linear thermoelastic analysis of a functionally graded (FG) rotating disk with different boundary conditions using Adomians decomposition method

摘要

Linear thermoelastic formulation of a functionally graded rotating disk is studied in the present paper. Thermoelastic solution of a rotating disk, due to the nonhomogenous terms, needs more mathematic operation and the solution of the governing equation is more complicated. In the present paper, thermo elastic formulation of a functionally graded rotating disk is presented and Adomian's decomposition method is employed to solve the obtained equation. Two types of boundary condition are studied including annular disk with two free stress and two fixed edges. Results of the stress and the displacement are investigated for two types of boundary conditions, individually. Results of the present paper can be applicable in the analysis of the rotational components. The numerical results indicate that the radial distribution of the radial and hoop stress for all values of nonhomogenous index have an intersection point at an identical radial coordinate.