Structural Engineering and Mechanics

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Nonlinear vibration of oscillatory systems using semi-analytical approach

  • Bayat, Mahmoud (Young Researchers and Elite Club, Roudehen Branch, Islamic Azad University) ;
  • Bayat, Mahdi (Department of Civil Engineering, Roudehen Branch, Islamic Azad University) ;
  • Pakar, Iman (Mashhad Branch, Islamic Azad University)
  • Received : 2016.11.30
  • Accepted : 2017.11.28
  • Published : 2018.02.25
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Abstract

In this paper, He's Variational Approach (VA) is used to solve high nonlinear vibration equations. The proposed approach leads us to high accurate solution compared with other numerical methods. It has been established that this method works very well for whole range of initial amplitudes. The method is sufficient for both linear and nonlinear engineering problems. The accuracy of this method is shown graphically and the results tabulated and results compared with numerical solutions.

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References

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