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Higher-order energy balance method for a series of nonlinear oscillatory systems

Saadatnia, Z ; Sharif University of Technology | 2013

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  1. Type of Document: Article
  2. DOI: 10.1142/S179355711350054X
  3. Publisher: 2013
  4. Abstract:
  5. The aim of this paper is to use higher-order energy balance method as a novel solution procedure for investigation the nonlinear oscillation of various systems. The method is associated with collocation method and employed for a group of nonlinear problems including pure cubic nonlinearity, fractional elastic force and duffing harmonic terms. Obtained results are evaluated by comparing with the classical balance method and also the exact solutions computed numerically. It is shown our solution procedure achieves more accurate results versus the classical solution and higher agreement are observed between the newer solutions and the exact ones for the systems. Effect of initial conditions in the nonlinear natural frequencies are carried out for a range of small and large values and it is proved the proposed method is not only simple but also more reliable for analysis of such systems
  6. Keywords:
  7. collocation ; Higher-order energy balance method ; nonlinear oscillation
  8. Source: Asian-European Journal of Mathematics ; Volume 6, Issue 4 , December , 2013 ; 17935571 (ISSN)
  9. URL: http://www.worldscientific.com/doi/abs/10.1142/S179355711350054X?journalCode=aejm