Application of amplitude-frequency formulation to nonlinear oscillation system of the motion of a rigid rod rocking back

Autor:	S. S. Ganji, N. Sadoughi, H. Babazadeh, Davood Domiri Ganji
Rok vydání:	2009
Předmět:	Nonlinear system Exact solutions in general relativity Amplitude Feature (computer vision) Oscillation Control theory Simple (abstract algebra) General Mathematics Mathematical analysis General Engineering Motion (geometry) Nonlinear Oscillations Mathematics
Zdroj:	Mathematical Methods in the Applied Sciences.
ISSN:	1099-1476 0170-4214
DOI:	10.1002/mma.1159
Popis:	The scope of this paper is evaluating an oscillation system with nonlinearities, using a periodic solution called amplitude–frequency formulation, such as the motion of a rigid rod rocking back. The approach proposes a choice to overcome the difficulty of computing the periodic behavior of the oscillation problems in engineering. We are to compare the solutions results of this method with the exact ones in order to validate the approach and assess the accuracy of the solutions. This method has a distinguished feature, which makes it simple to use and agree with the exact solutions for various parameters. Moreover, it is perceived that with one-step iteration high accuracy of the solution will be achieved. We may apply the results of the solution to explain some of the practical physical problems. Copyright © 2009 John Wiley & Sons, Ltd.
Databáze:	OpenAIRE
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