Abstract
This paper applied the Max-Min Approach (MMA) and Amplitude Frequency Formulation (AFF) to derive the approximate analytical solution for motion of nonlinear free vibration of conservative, single degree of freedom systems. In both nonlinear problems MMA and AFF yields the same results. In comparison to forth-order runge-kutta method which is powerful numerical solution, the results show that these methods are very convenient for solving nonlinear equations and also can be used for the wide range of time and boundary conditions for nonlinear oscillators.
| Original language | English |
|---|---|
| Pages (from-to) | 131-140 |
| Number of pages | 10 |
| Journal | UPB Scientific Bulletin, Series A: Applied Mathematics and Physics |
| Volume | 74 |
| Issue number | 3 |
| Publication status | Published - 2012 |
| Externally published | Yes |
Keywords*
- Amplitude frequency formulation
- Analytical solution
- Max min approach
- Nonlinear oscillation
Field of Science*
- 1.3 Physical sciences
- 1.1 Mathematics
Publication Type*
- 1.1. Scientific article indexed in Web of Science and/or Scopus database