Published: 31 December 2011

Nonlinear free vibration analysis of tapered beams by hamiltonian approach

M. Bayat1
I. Pakar2
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Abstract

In this paper the Hamiltonian approach is applied to the analysis of the nonlinear free vibration of a tapered beam. The considered problem presents the governing equation of the nonlinear, large-amplitude free vibrations of the beams. The effect of vibration amplitude on the nonlinear frequency is considered. This analytical representation provides excellent approximations to the exact solutions for the whole range of the oscillation amplitudes, reducing the respective error of angular frequency in comparison with the Hamiltonian approach. It is predicted that those methods can find wide application in engineering problems as indicated in this paper.

About this article

Received
23 August 2011
Accepted
04 December 2011
Published
31 December 2011
Keywords
nonlinear vibration
Hamiltonian approach
tapered beams