Interval Rotor-Bearing Systems Stability Via Monte Carlo Simulation

Moustafa, Kamal A. F.; Elawady, Hesham

doi:10.1080/02286203.2008.11442469

Cited by 3 publications

(1 citation statement)

References 11 publications

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“…A collocation scheme for the interval method [32] was further proposed to alleviate the increasing computational efforts in multi-dimensional cases. Early efforts have been made by researchers using the interval methods to the UQ for the dynamics of rotating systems [33][34][35][36][37]. However, the non-probabilistic interval methods have not yet aroused sufficient attention in the field of rotordynamics, although some fruitful findings were presented.…”

Section: Introductionmentioning

confidence: 99%

Response analysis of an accelerating unbalanced rotating system with both random and interval variables

Yang

et al. 2020

Journal of Sound and Vibration

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This paper investigates the accelerating up transient vibrations of a rotor system under both the random and uncertain-but-bounded uncertainties. The Polynomial Chaos Expansion (PCE) coupled with the Chebyshev surrogate method is used to analyses the propagations of the two categorizes of uncertainties. The output responses will possess the characteristics of both bounded quantities and statistical moments. As a hybrid non-intrusive uncertainty quantification (UQ) procedure, the deterministic rotor model is taken as a black box and will only be executed at specific parameter points. A number of uncertain physical parameters are studied and the corresponding transient responses are presented. The accuracy and efficiency are verified by the Monte Carlo simulations (MCS) in combination with the scanning scheme and also other hybrid analysis framework. It will provide guidance for the accurate transient dynamic analysis of engineering problems with hybrid uncertainties.

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