, Volume 224, Issue 2, pp 425-446
Date: 13 Nov 2012

Dynamic analysis of a functionally graded simply supported Euler–Bernoulli beam subjected to a moving oscillator

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access

Abstract

The dynamic behavior of a functionally graded (FG) simply supported Euler–Bernoulli beam subjected to a moving oscillator has been investigated in this paper. The Young’s modulus and the mass density of the FG beam vary continuously in the thickness direction according to the power-law model. The system of equations of motion is derived by using Hamilton’s principle. By employing Petrov–Galerkin method, the system of fourth-order partial differential equations of motion has been reduced to a system of second-order ordinary differential equations. The resulting equations are solved using Runge–Kutta numerical scheme. In this study, the effect of the various parameters such as power-law exponent index and velocity of the moving oscillator on the dynamic responses of the FG beam is discussed in detail. To validate the present formulation, the mid-point displacement of the beam is compared with that of the existing literature, and also a comparison study is performed for free vibration of an FG beam. Good agreement is observed. The results indicated that the above-mentioned parameters have a significant role in the analysis.