Approximate analysis of two-mass-spring systems and buckling of a column
Computers & Mathematics with Applications
Vibrational analysis of curved single-walled carbon nanotube on a Pasternak elastic foundation
Advances in Engineering Software
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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.