Published: 31 March 2012

Analytical study on the non-linear vibration of Euler-Bernoulli beams

Iman Pakar1
Mahmoud Bayat2
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Abstract

In this study, He’s Variational Approach Method (VAM) is used to obtain an accurate analytical solution for the nonlinear vibrations of Euler-Bernoulli beams subjected to axial loads. It is demonstrated that the method works very well for the whole range of initial amplitudes and does not need small perturbation. It is sufficiently accurate in the case of both linear and nonlinear physics and engineering problems. Finally, the accuracy of the solution obtained with the approximate VAM method is shown graphically and compared with that of the numerical solution.

About this article

Received
20 November 2011
Accepted
14 February 2012
Published
31 March 2012
Keywords
non-linear vibration
Euler-Bernoulli beam
variational approach method