Wednesday, 10 March 2010

Wseas Transactions

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Transactions: WSEAS TRANSACTIONS ON SYSTEMS
Transactions ID Number: 89-493
Full Name: Nechak Lyes
Position: Ph.D. Candidate
Age: ON
Sex: Male
Address: 12 rue des frères Lumière, Mulhouse 68093
Country: FRANCE
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E-mail address: lyes.nechak@uha.fr
Other E-mails: nechak_lyes@yahoo.fr
Title of the Paper: robust analysis of uncertain dynamic systems: combination of the centre manifold and polynomial chaos theories
Authors as they appear in the Paper: Lyes Nechak, Sebastien Berger, Evelyne Aubry
Email addresses of all the authors: lyes.nechak@uha.fr,sebastien.berger@uha.fr,evelyne.aubry@uha.fr
Number of paper pages: 10
Abstract: A new methodology for a robust analysis of uncertain nonlinear dynamic systems is presented in this paper. The originality of the method proposed lies in the combination of the centre manifold theory with the polynomial chaos approach. The first one is known to be a powerful tool for model reduction of nonlinear dynamic systems in the neighbourhood of a Hopf bifurcation point while the polynomial chaos approach is an efficient tool for uncertainty propagation. Therefore, to couple the two methods can help to overcome computational difficulties due to both the complexity of nonlinear dynamic systems and the cost of the uncertainty propagation with the prohibitive Monte Carlo method. The feasibility and efficiency of the proposed methodology is investigated. So, a two degree of freedom model describing a drum brake system subject to uncertain initial conditions is considered.
Keywords: Nonlinear dynamic System, Model Reduction, Centre Manifold, Robust Analysis, Uncertainty Propagation, Polynomial chaos, Non-intrusive methods
EXTENSION of the file: .pdf
Special (Invited) Session: Uncertainty propagation using polynomial chaos and centre manifold theories
Organizer of the Session: 640-269
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