Abstract
This article presents the development of a tridimensional phenomenological model of a turbomolecular pump taking into account the blades dynamics as well as the gyroscopic effects, centrifugal stiffening and spin softening. Rotor and blades behavior is approximated by Euler-Bernoulli beams. Rayleigh-Ritz method is used to approximate continuous displacements and an energetic approach is used to obtain the equations of motion. The global dynamics of the system is analyzed by assuming linear bearings, whose stiffness is experimentally defined. Mistuning of the blades is experimentally identified and simulated so that its influence on blades modes organization could be studied. The obtained model has shown good correlation with experimental results.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Defoy, B, Alban, T, Mahfoud, J.: Experimental assessment of a new fuzzy controller applied to a flexible rotor supported by Active Magnetic Bearings. In: Proceedings of the Tenth International Conference on Vibrations in Rotating Machinery, pp. 1–10 (2012)
De Lepine, X., Der Hargopian, J., Mahfoudh, J.: Contrôle modal à partir d’un modèle condensé équivalent réduit, application à un treillis. In: Vibrations. Chocs et bruits, Lyon (2006)
De Miras, J, Charara, A.: Unbalance cancellation with rotating reference control for a horizontal shaft. In: Proceedings of the Sixth International Symposium on Magnetic Bearings, pp. 673–672, MIT, Cambridge (1998)
Parent, M-O, Thouverez, F.: Whole Engine Interaction in a Bladed Rotor-to-Stator Contact. In: Proceedings of ASME Turbo Expo 2014: Turbine Technical Conference and Exposition (2014)
Gruin, M., Thouverez, F., Blanc, L., Jean, P.: Nonlinear dynamics of a bladed dual-shaft. Eur. J. Comput. Mech. 20(1–4), 207–225 (2011)
Lesaffre, N., Sinou, J.-J., Thouverez, F.: Contact analysis of a flexible blades-rotor. Eur. J. Mech. A/Solid. 26(3), 541–557 (2007)
Sinha, S.K.: Dynamic characteristics of a flexible bladed-rotor with Coulomb damping due to tip-rub. J. Sound Vib. 273(4–5), 875–919 (2004)
Gmür, T.: Dynamique des Structures: Analyse Modale Numérique. Presse Polytechnique et Universitaires Romandes, Lausanne (1997)
Roark, R.J., Young, W.C., Budynas, R.G.: Roark’s Formulas for Stress and Strain, vol. 2002. McGraw-Hill, New York (2002)
Friswell, M.: Dynamics of Rotating Machines. Cambridge University Press, Cambridge (2010)
Lalanne, M., Ferraris, G.: Rotordynamics Prediction in Engineering. Wiley, Chichester (1998)
Pierre, C.: Mode localization and eigenvalue loci veering phenomena in disordered structures. J. Sound Vib. 126(3), 485–502 (1988)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 The Society for Experimental Mechanics, Inc.
About this paper
Cite this paper
Moreira, A.B.B., Thouverez, F. (2019). Dynamic Modelling and Vibration Control of a Turbomolecular Pump with Magnetic Bearings in the Presence of Blade Flexibility. In: Di Maio, D. (eds) Rotating Machinery, Vibro-Acoustics & Laser Vibrometry, Volume 7. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-74693-7_10
Download citation
DOI: https://doi.org/10.1007/978-3-319-74693-7_10
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-74692-0
Online ISBN: 978-3-319-74693-7
eBook Packages: EngineeringEngineering (R0)