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High conservative nonlinear vibration equations by means of energy balance method

  • 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 : 2015.10.09
  • Accepted : 2016.06.22
  • Published : 2016.07.25
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Abstract

This paper presents He's Energy Balance Method (EBM) for solving nonlinear oscillatory differential equations. Three strong nonlinear cases have been studied analytically. Analytical results of the EBM are compared with numerical solutions using Runge-Kutta's algorithm. The effects of different important parameters on the nonlinear response of the systems are studied. The results show the presented method is potentially to solve high nonlinear vibration equations.

Keywords

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