Structural Engineering and Mechanics

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Nonlinear vibration of conservative oscillator's using analytical approaches

  • Bayat, Mahmoud (Young Researchers and Elite Club, Roudehen Branch, Islamic Azad University) ;
  • Pakar, Iman (Young Researchers and Elite Club, Mashhad Branch, Islamic Azad University) ;
  • Bayat, Mahdi (Young Researchers and Elite Club, Mashhad Branch, Islamic Azad University)
  • Received : 2016.01.02
  • Accepted : 2016.05.11
  • Published : 2016.08.25
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Abstract

In this paper, a new analytical approach has been presented for solving nonlinear conservative oscillators. Variational approach leads us to high accurate solution with only one iteration. Two different high nonlinear examples are also presented to show the application and accuracy of the presented approach. The results are compared with numerical solution using runge-kutta algorithm in different figures and tables. It has been shown that the variatioanl approach doesn't need any small perturbation and is accurate for nonlinear conservative equations.

Keywords

References

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