Abstract

We consider periodic solution for nonlinear free vibration of conservative, single degree of freedom systems. A new analytical technique called Energy Balance Method (EBM) is applied to calculate approximations in order to achieve the nonlinear frequency of the system. Comparing with numerical solution using Runge-Kutta method, just one iteration leads us to high accuracy of solutions which are valid for a wide range of vibration amplitudes as indicated in this study. The EBM is a novel method which alleviates drawbacks of the traditional numerical techniques.

Key words: Runge-kutta method, conservative oscillations, energy balance method.