FREE VIBRATION OF AXIALLY FUNCTIONALLY GRADED BEAMS IN THERMAL ENVIRONMENT

Year 2014, Volume: 6 Issue: 3, 37 - 51, 01.09.2014

Şeref Doğuşcan Akbaş

https://doi.org/10.24107/ijeas.251224

Cited By: 8

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