An improved analytical technique for a non-linear conservative system with inertia and static non-linearity

Abstract

In this paper, an improved energy balance method has been presented to obtain an analytical approximate solution to investigate a conservative non-linear oscillator having inertia and static non-linearity. The method is valid for both small and large amplitudes of oscillation. Although the trial solution of the present paper is the same as Khan and Mirzabeigy (2014), the solution procedure is different. Moreover, the algebraic equations appeared in the present technique are solved analytically. The results obtained in this paper are compared with other existing results. The present method not only gives better result than other existing result but also gives perfect agreement with the numerical result (considered to be exact result).