Journal ArticleDOI
Fractional-order modeling and nonlinear dynamic analyses of the rotor-bearing-seal system
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TLDR
A novel fractional-order mathematical model of the rotor-bearing-seal system is established from the view of engineering applications by using the finite element method, and the effect of the fractional order of sealing on the journal and rotor are analyzed under different rotational speeds.Abstract:
Unexpected vibrations induced by sealing and bearing faults in the rotor-bearing-seal system seriously affect the health and reliability of the rotating machinery. Here, to study the vibration performances more accurately, the sealing force model is extended from a very narrow integer-order scope to a flexible fractional-order scope, and a novel fractional-order mathematical model of the rotor-bearing-seal system is established from the view of engineering applications by using the finite element method. As a pioneering work, the effect of the fractional order of sealing on the journal and rotor are analyzed under different rotational speeds. Besides, the dynamic characteristics of the rotor-bearing-seal system with the changing rotational speed, mass eccentricity of rotor, sealing clearance and sealing pressure drop at a specific fractional order of sealing are also studied in detail. Then some stability discussions of the system are presented, which is synchronous with some special frequency characteristics. Finally, the methods and results can efficiently provide a theoretical reference for the design and operation of the rotor-bearing-seal system and be applied to forecasting and diagnosing vibration faults of them.read more
Citations
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Electroelastic high-order computational continuum strategy for critical voltage and frequency of piezoelectric NEMS via modified multi-physical couple stress theory
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References
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Journal ArticleDOI
Linear Models of Dissipation whose Q is almost Frequency Independent-II
TL;DR: In this paper, a linear dissipative mechanism whose Q is almost frequency independent over large frequency ranges has been investigated by introducing fractional derivatives in the stressstrain relation, and a rigorous proof of the formulae to be used in obtaining the analytic expression of Q is given.
Book
A Predictor-Corrector Approach for the Numerical Solution of Fractional Differential Equations
TL;DR: In this paper, an Adams-type predictor-corrector method for the numerical solution of fractional differential equations is discussed, which may be used both for linear and nonlinear problems, and it may be extended tomulti-term equations (involving more than one differential operator) too.
Journal ArticleDOI
Applications of Fractional Calculus to the Theory of Viscoelasticity
TL;DR: The relation entre le calcul fractionnaire and the theory of l'equation integrale d'Abel for les materiaux a memoire is discussed in this paper.
Journal ArticleDOI
Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order
Abdon Atangana,Ilknur Koca +1 more
TL;DR: In this paper, Atangana and Baleanu proposed a derivative with fractional order to answer some outstanding questions that were posed by many researchers within the field of fractional calculus.
Book
Turbomachinery Rotordynamics: Phenomena, Modeling, and Analysis
TL;DR: In this paper, structural-Dynamic Models and Eigenanalysis for Undamped Flexible Rotors are presented. But they do not consider the non-uniformity of Rotordynamic Models for Liquid Annular Seals.