High conservative nonlinear vibration equations by means of energy balance method

  • Bayat, Mahmoud ;
  • Pakar, Iman ;
  • Bayat, Mahdi
  • Received : 2015.10.09
  • Accepted : 2016.06.22
  • Published : 2016.07.25


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.


Energy Balance Method (EBM);Runge- Kutta's Method (RKM);nonlinear vibrations


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