File:Duffing frequency response.svg

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English: Frequency response of the Duffing equation, for and damping The graph shows the amplitude of the steady-state periodic response as a function of angular frequency for four values of the nonlinearity parameter The dashed parts of the frequency response are unstable, i.e. at the corresponding forcing frequency the realized response is on either one of the two amplitudes in the drawn-lines part of the graph.
The frequency response is obtained through the method of harmonic balance as:
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Author Kraaiennest
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  • D.W. Jordan & P. Smith (2007) Nonlinear ordinary differential equations – An introduction for scientists and engineers (4th ed.), Oxford University Press, pp. 223–233 ISBN: 978-0-19-920824-1.
  • M.J. Brennan, I. Kovacic, A. Carrella & T.P. Waters (2008). "On the jump-up and jump-down frequencies of the Duffing oscillator.". Journal of Sound and Vibration 318 (4–5): 1250–1261. DOI:10.1016/j.jsv.2008.04.032.

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current15:22, 15 November 2016Thumbnail for version as of 15:22, 15 November 2016913 × 511 (180 KB)Kraaiennest (talk | contribs)User created page with UploadWizard

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