Vibration Analysis of a Rotating FGM Thermoelastic Axisymmetric Circular Disk Using FEM

TLDR: In this article, the axisymmetric problem is formulated in terms of a second-order ordinary differential equation, which is solved by employing the finite element method (FEM) and the temperature profile has been modeled with the help of a heat conduction equation.

Abstract: This paper studies the thermoelastic displacements, stresses, and strains in a thin, circular, functionally graded material (FGM) disk subjected to thermal load by taking into account an inertia force due to rotation of the disk. The material properties of the FGM disk have been assumed to vary exponentially in the radial direction. Based on the two-dimensional thermoelasticity theory, the axisymmetric problem is formulated in terms of a second-order ordinary differential equation, which is solved by employing the finite element method (FEM). The temperature profile has been modeled with the help of a heat conduction equation. The model has been solved numerically to attain stresses, strains, and displacements in an Al2O3/Al FGM circular disk and the computer-simulated results are presented graphically. The effect of Kibel Number on stresses, strains, and displacement has also been discussed. The numerical results reveal that these quantities are significantly influenced by temperature distribution, thick...