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- Title
ENERGY BALANCE METHOD - A SIMPLE AND TRUSTWORTHY TECHNIQUE FOR ESTIMATING THE BEHAVIOR OF CONSERVATIVE NONLINEAR OSCILLATORS.
- Authors
DUMITRU, DELEANU
- Abstract
Many phenomena in physics and engineering are modelled by means of conservative nonlinear oscillators. If someone is interested in a fast and reliable estimation of such an oscillator, then the He's energy balance method could be an ideal tool for solving the problem. The method provides accurate approximate analytical solutions just after a single iteration, which are uniformly valid in the whole range of parameters involved. In this article, three examples of strong nonlinear conservative oscillators are considered to describe the solution algorithm and to illustrate the simplicity and effectiveness of the energy balance method. The results are contrasted with their numerical counterparts or with other similar techniques and the conclusions concerning the merits and the drawbacks of the method are presented.
- Subjects
NONLINEAR oscillators; FORCE &; energy; ITERATIVE methods (Mathematics); PARAMETER estimation; RELIABILITY in engineering
- Publication
Annals (Constanţa Maritime University), 2016, Vol 17, Issue 26, p21
- ISSN
2067-0427
- Publication type
Article