Dynamic Analysis of Thermo-Mechanically Loaded Functionally Graded Disks by an Iterative Variational Method

The present study focuses on the free vibration behavior of functionally graded (FG) rotating disk under thermal and centrifugal load, up to the limit elastic state of stress. Power law variation across the radial direction is assumed for the material properties of the FG disks. Variational principles are used to obtain the governing equations, and energy principles are used for the analysis method. The solution algorithm is executed by utilizing MATLAB^® computational simulation software. For various combinations of rotational speed and thermal load up to the limit elastic state as predicted by von Mises criteria, the dynamic characteristics of the FG disk are presented in a non-dimensional plane. Some parametric studies are carried out to explore the impacts of the disk geometries and material gradients on the in-plane natural and forced frequencies of the FG disks.