Study of the non-linear dynamic response of a rotor system with faults and uncertainties

In this paper, the quantification of uncertainty effects on the variability of the nonlinear response in rotor systems with multi-faults (such as unbalance, asymmetric shaft, bow, parallel and angular misalignments) is investigated. To take account of uncertainties in this kind of nonlinear problem,...

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Bibliographic Details
Published inJournal of sound and vibration Vol. 331; no. 3; pp. 671 - 703
Main Authors Didier, Jérôme, Sinou, Jean-Jacques, Faverjon, Béatrice
Format Journal Article
LanguageEnglish
Published Kidlington Elsevier Ltd 01.01.2012
Elsevier
Subjects
Applied sciences
Computer simulation
Drives
Dynamical Systems
Engineering Sciences
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Mathematics
Mechanical engineering. Machine design
Mechanics
Monte Carlo methods
Nonlinear dynamics
Nonlinearity
Physics
Robustness
Rotors
Shafts, couplings, clutches, brakes
Solid mechanics
Structural and continuum mechanics
Structural mechanics
Uncertainty
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
Vibrations
Chaos
Monte Carlo method
Vibration
Probabilistic approach
Variability
Unbalanced conditions
Modeling
Harmonic balance
Orthogonal polynomial
Uncertain system
Asymmetry
Shaft
Non linear effect
Alignment defect
rotor
dynamics
uncertainties
faults
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Summary:In this paper, the quantification of uncertainty effects on the variability of the nonlinear response in rotor systems with multi-faults (such as unbalance, asymmetric shaft, bow, parallel and angular misalignments) is investigated. To take account of uncertainties in this kind of nonlinear problem, it is proposed to use the Harmonic Balance Method (HBM) with a polynomial chaos expansion (PCE). The efficiency and robustness of the proposed methodology is demonstrated by comparison with Monte Carlo simulations (MCS) for different kinds and levels of uncertainties. ► Formulation of rotor with multi-faults, which includes uncertainties in physical parameters. ► Combination of the Harmonic Balance Method with the polynomial chaos formulation. ► Study of the nonlinear dynamic response of a rotor system with faults and uncertainties.
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ISSN:0022-460X
1095-8568
DOI:10.1016/j.jsv.2011.09.001