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Random superharmonic response of a Duffing oscillator

โœ Scribed by H.G. Davies; S. Rajan

Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
565 KB
Volume
111
Category
Article
ISSN
0022-460X

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โœฆ Synopsis

The third order superharmonic response of a Duffing oscillator to narrow band random excitation is analyzed. The analysis shows the effect of excitation bandwidth on the response and stability of the non-linear oscillator. In particular the analysis shows that multivalued superharmonic response can occur only when the excitation bandwidth is small. Stability of the response is examined by constructing a mean square phase plane from a time dependent Fokker-Planok equation and also by perturbing the stationary solutions.

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