Higher accuracy analytical approximations to nonlinear oscillators with discontinuity by energy balance method

Abstract

A modified energy balance method (EBM) has been presented to obtain higher-order approximate periodic solutions from the integral expression (i.e., first order differential equation) of some nonlinear oscillators. It has been shown that the method is more effective than the classical EBM as well as some recently developed approaches such as homotopy perturbation method, harmonic balance method and iterative method. Keywords: Energy balance method, Perturbation method, Nonlinear oscillators, Constant force oscillator