Analytical exact solution for functionally graded rotating disks under non-symmetric thermal and mechanical loads

Abstract

Thermoelastic analysis of functionally graded (FG) rotating disks under internal pressure and temperature variation including the inertial effects of mounted blades as a non-symmetric loading is presented in this paper. An exact solution for the stress and displacement components of the disks is provided which can be used for arbitrary weight and number of blades. The effects of the blades on the FG disk are modeled by using a harmonic sinusoidal tension load at the outer edge of the disk. Thermomechanical properties of the FG disk, i.e. elastic modulus, density, thermal expansion coefficient and thermal conductivity, vary according to appropriate exponential grading functions in the radial direction. To visualize the obtained results, a hollow disk with six blades is considered and relevant data is illustrated. For comparison purposes, a series of finite element simulations are performed and the results are compared with those obtained with the analytical solution. The comparison shows that generally there is a good agreement between the results of analytical and numerical solutions for the stress and displacement components along different radial paths. The effects of the angular velocity and temperature gradient on the stress and displacement components are investigated.