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IJPAP Vol.50(09) [September 2012] >

Title: Energy balance method and amplitude frequency formulation based simulation of strongly non-linear oscillators
Authors: Ganji, Davood D
Azimi, Mohammadreza
Mostofi, Mehdi
Keywords: Non-linear oscillation
Energy balance method
Amplitude frequency formulation
Analytical solution
Issue Date: Sep-2012
Publisher: NISCAIR-CSIR, India
Abstract: The Energy Balance Method (EBM) and Amplitude Frequency Formulation (AFF) have been applied to derive the approximate analytical solution for motion of two mechanical oscillators. In first problem both methods yield the same result but in the second problem, the results which are obtained from Amplitude Frequency Formulation and Energy Balance Method are different. In comparison with the forth order Runge-Kutta method, the results show that these methods are very convenient for solving non-linear equations and also can be used for strong non-linear oscillators.
Page(s): 670-675
CC License:  CC Attribution-Noncommercial-No Derivative Works 2.5 India
ISSN: 0975-1041 (Online); 0019-5596 (Print)
Source:IJPAP Vol.50(09) [September 2012]

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