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.
| Original language | English |
|---|---|
| Pages (from-to) | 670-675 |
| Number of pages | 6 |
| Journal | Indian Journal of Pure and Applied Physics |
| Volume | 50 |
| Issue number | 9 |
| Publication status | Published - Sept 2012 |
| Externally published | Yes |
Keywords*
- Amplitude frequency formulation
- Analytical solution
- Energy balance method
- Non-linear oscillation
Field of Science*
- 1.3 Physical sciences
- 2.3 Mechanical engineering
Publication Type*
- 1.1. Scientific article indexed in Web of Science and/or Scopus database