Studying the Thermal Effects on the Free Vibration of Functionally Graded Beam

Abstract

The purpose of this article is to investigate the effect of thermal variance on the functionally graded beam frequency parameters. ANSYS APDL version 17.2 was implemented to obtain the functionally graded beam's nondimensional frequency variables following two finite element models. Suggested models were shell and solid, at which point they showed an acceptable agreement with those previously reported in the literature. Obtained numerical analysis was graphically plotted to study the impacts of parameters such as modulus ratio, length-to-thickness, types of support, and the powerlaw index. Preliminary results show that the index of power-law (k) is the most influential parameter on the dimensionless frequency parameter of the FG beam. As (k) increases, it elevates the frequency parameter over a low modulus ratio (less than one). In contrast, it decreases at a high modulus. The power-law index shows no effect over the neutral modulus ratio (equal to one-pure material). Results also show a reduced fundamental frequency at elevated temperatures.