International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2569

Full Length Research Paper

Application of iteration perturbation method for nonlinear oscillators with discontinuities

Mahmoud Bayat*, Mehran Shahidi and Mahdi Bayat
Department of Civil Engineering, Shirvan Branch, Islamic Azad University, Shirvan, Iran
Email: [email protected]

  •  Accepted: 17 May 2011
  •  Published: 04 August 2011

Abstract

In this paper, we have applied He’s iteration perturbation method for the first time to solve nonlinear oscillators with discontinues. Three practical examples are explained and introduced. Comparing with exact solutions, just one iteration leads us to high accuracy of solutions which are valid for a wide range of vibration amplitudes as indicated in the following examples.

 

Key words: Nonlinear oscillators, discontinues, iteration perturbation method.