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Earthquakes and Structures
  Volume 11, Number 1, July 2016, pages 129-140
DOI: http://dx.doi.org/10.12989/eas.2016.11.1.129
 


High conservative nonlinear vibration equations by means of energy balance method
Mahmoud Bayat, Iman Pakar and Mahdi Bayat

 
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.
 
Key Words
    Energy Balance Method (EBM); Runge- Kutta´s Method (RKM); nonlinear vibrations
 
Address
Mahmoud Bayat: Young Researchers and Elite Club, Roudehen Branch, Islamic Azad University, Roudehen, Iran

Iman Pakar and Mahdi Bayat: Young Researchers and Elite club, Mashhad Branch, Islamic Azad University, Mashhad, Iran
 

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