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Journal Articles

Wiener–Askey and Wiener–Haar Expansions for the Analysis and Prediction of Limit Cycle Oscillations in Uncertain Nonlinear Dynamic Friction Systems

Lyes Nechak, Sébastien Berger, Evelyne Aubry
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. April 2014, 9(2): 021007.
Paper No: CND-12-1059
https://doi.org/10.1115/1.4024851
Published Online: September 25, 2013
... and Wiener–Haar expansions have been proposed to deal with these problems with great efficiency. In these studies, the random dispersion of the friction coefficient is always considered within intervals near the Hopf bifurcation point. However, it is well known that friction induced vibrations—with respect...
View Article titled, Wiener–Askey and <span class="search-highlight">Wiener</span>–<span class="search-highlight">Haar</span> Expansions for the Analysis and Prediction of Limit Cycle Oscillations in Uncertain Nonlinear Dynamic Friction Systems
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Topics: Bifurcation, Chaos, Friction, Limit cycles, Modeling, Oscillations, Polynomials, Vibration, Sliding friction, Displacement