A new analytical approach for solving quadratic nonlinear oscillators

Abstract

In this paper, a new analytical approach based on harmonic balance method (HBM) is presented to obtain the approximate periods and the corresponding periodic solutions of quadratic nonlinear oscillators. The result obtained in new approach has been compared with that obtained by other existing method. The present method gives not only better result than other existing result but also gives very close to the corresponding numerical result (considered to be the exact result). Moreover, the method is simple and straightforward. Keywords: Quadratic nonlinear oscillator, Harmonic balance method, Periodic solution