FREE VIBRATION OF AXIALLY FUNCTIONALLY GRADED BEAMS IN THERMAL ENVIRONMENT

Abstract

In this paper, free vibration characteristics of an axially functionally graded (AFG) cantilever beam subject to temperature rising are studied with the effect of material-temperature dependent properties. Material properties of the beam are temperature-dependent and change in the axial direction of the beam according to a power-law function. The considered problem is solved within the Euler-Bernoulli beam theory by using finite element method. The system of equations of motion is derived by using Lagrange’s equations. The effects of material distributions and temperature rising on the first three natural frequencies and mode shapes are investigated.

Keywords

• Free vibration analysis, Functionally graded materials, Temperature dependent physical properties, Finite element method