Application of He's energy balance method to Duffing-harmonic oscillators

Abstract

In this article, He's energy balance method is applied for calculating angular frequencies of nonlinear Duffing oscillators. This method offers a promising approach by constructing a Hamiltonian for the nonlinear oscillator. We illustrate that the energy balance is very effective and convenient and does not require linearization or small perturbation. Contrary to the conventional methods, in energy balance, only one iteration leads to high accuracy of the solutions. It is predicted that the energy balance method finds wide applications in engineering problems.

Keywords:

• energy balance method
• nonlinear oscillations
• Duffing oscillator

2010 AMS Subject Classifications :

• 65Pxx
• 34B15
• 37M99