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Indian Journal of Pure & Applied Physics (IJPAP) >
IJPAP Vol.50 [2012] >
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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