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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