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The solvability of parametrically forced oscillators using WHEP technique

El-Tawil M. A., Mahmoud G. M.

Mechanics and Mechanical Engineering

1999

Vol. 3, nr 2

181--188

In this paper, the WHEP technique ,which is the Wiener-Hermite Expansion combined with the perturbation technique, is used to obtain an approximate solution moments for the parametrically forced Duffing Oscillator. A general algorithm is described to get the Gaussian part of the solution process imder some necessary assumptions for the solution possibilities. A case study for zero initial conditions is considered to illustrate the solvability of the obtained deterministic equations.