High-Order Energy Balance Method to Nonlinear Oscillators

الملخص EN

Energy balance method (EBM) is extended for high-order nonlinear oscillators.

To illustrate the effectiveness of the method, a cubic-quintic Duffing oscillator was chosen.

The maximum relative errors of the frequencies of the oscillator read 1.25% and 0.6% for the first- and second-order approximation, respectively.

The third-order approximation has an accuracy as high as 0.008%.

Excellent agreement of the approximated frequencies and periodic solutions with the exact ones is demonstrated for several values of parameters of the oscillator.