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Vibration statistics of the Duffing oscillator
Abstract The stationary response of the Duffing oscillator excited by white noise is considered. Based on the associated Fokker-Planck equation, the joint moments, of all orders, of the displacement and velocity are obtained in closed-form, in terms of parabolic cylinder functions. An asymptotic expansion, valid for large values of a dimensionless parameter, is also presented. It is shown that all moments of the Duffing oscillator are bounded by the corresponding moments of the linear oscillator.
Vibration statistics of the Duffing oscillator
Abstract The stationary response of the Duffing oscillator excited by white noise is considered. Based on the associated Fokker-Planck equation, the joint moments, of all orders, of the displacement and velocity are obtained in closed-form, in terms of parabolic cylinder functions. An asymptotic expansion, valid for large values of a dimensionless parameter, is also presented. It is shown that all moments of the Duffing oscillator are bounded by the corresponding moments of the linear oscillator.
Vibration statistics of the Duffing oscillator
Constantinou, Michalakis C. (Autor:in)
01.01.1985
3 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
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