Shock and Vibration

Shock and Vibration / 2012 / Article

Open Access

Volume 19 |Article ID 303189 | 10 pages | https://doi.org/10.3233/SAV-2010-0633

Nonlinear Vibration of Oscillation Systems using Frequency-Amplitude Formulation

Received09 Oct 2010
Revised03 Jan 2011

Abstract

In this paper we study the periodic solutions of free vibration of mechanical systems with third and fifth-order nonlinearity for two examples using He's Frequency-Amplitude Formulation (HFAF).The effectiveness and convenience of the method is illustrated in these examples. It will be shown that the solutions obtained with current method have a fabulous conformity with those achieved from time marching solution. HFAF is easy with powerful concepts and the high accuracy, so it can be found widely applicable in vibrations, especially strong nonlinearity oscillatory problems.

Copyright © 2012 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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