Stability analysis and dynamic behaviour of a flexible asymmetric rotor supported by active magnetic bearings

• Autorzy: Attia Hili M. , Bouaziz S. , Haddar M.

Identyfikatory

DOI

10.15632/jtam-pl.55.3.751

• Języki publikacji: EN

Abstrakty

EN

The objective of this work is to show the influence of dynamic characteristics of Active Magnetic Bearings (AMBs) on the stability and dynamic response of an asymmetric and unbalanced rotor. Indeed, AMBs have been successfully applied in several industrial machinery facilities. Their main advantages are the contactless working principle, frictionless suspension and operation in very high speeds. Firstly, the AMBs dynamic support parameters have been obtained through electromagnetic theory. Then, a generalized system equations of motion have been derived using the finite element method. The motion of a rotor the shaft cross-section of which is asymmetric is generally governed by ordinary differential equations with periodic coefficients. Floquet’s theory is used to investigate the stability of this system of equations. Finally, numerical simulation results are presented and discussed.

Słowa kluczowe

EN

asymmetric rotor; finite element; Floquet’s theory; dynamic coefficients; stability

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2017
• Tom: Vol. 55 nr 3
• Strony: 751--763
• Opis fizyczny: Bibliogr. 15 poz., rys., tab.

Twórcy

autor

Attia Hili M.

• Laboratory of Mechanical Modeling and Production (LA2MP), National School of Engineers of Sfax (ENIS), University of Sfax, Tunisia

autor

Bouaziz S.

• Laboratory of Mechanical Modeling and Production (LA2MP), National School of Engineers of Sfax (ENIS), University of Sfax, Tunisia

autor

Haddar M.

• Laboratory of Mechanical Modeling and Production (LA2MP), National School of Engineers of Sfax (ENIS), University of Sfax, Tunisia

Bibliografia

• 1. Attia Hili M., Fakhfakh T., Haddar M., 2006, Failure analysis of a misaligned and unbalanced flexible rotor, Journal of Failure Analysis and Prevention, 6, 4, 73-82
• 2. Batoz J.L., Gouri D., 1990, Modelisation des structures par ´elements finis, Paris Editions Herm`es
• 3. Bauchau O.A., Nikishkov Y.G., 2001, An implicit Floquet analysis for rotorcraft stability evaluation, Journal of The American Helicopter Society, 46, 200-209
• 4. Bouaziz A., Barkallah M., Bouaziz S., Choley J.-Y., Haddar M., 2016, Cutting parameters and vibrations analysis of magnetic bearing spindle in milling process, Journal of Theoretical and Applied Mechanics, 54, 3, 691-703
• 5. Bouaziz S., Belhadj Messaoud N., Mataar M., Fakhfakh T., Haddar M., 2011, A theoretical model for analyzing the dynamic behaviour of spatial misaligned rotor with active magnetic bearings, Mechatronics, 21, 899-907
• 6. Dufour R., Berlioz A., 1998, Parametric instability of a beam due to axial excitations and boundary conditions, ASME Journal of Vibration and Acoustics, 120, 461-467
• 7. Gosiewski Z., 2008, Control-oriented modeling and control of rotor vibration, Acta Mechanica et Automatica, 2, 2, 21-38
• 8. Inagaki T., Kanki H., Shiraki K., 1980, Response analysis of a general asymmetric rotorbearing system, Journal of Mechanical Design, 102, 147-157
• 9. Inayat-Hussain J.I., 2007, Chaos via torus breakdown in the vibration response of a rigid rotor supported by active magnetic bearings, Chaos, Solitions and Fractals, 31, 4, 912-927
• 10. Inayat-Hussain J.I., 2010, Nonlinear dynamics of a magnetically supported rigid rotor in auxiliary bearings, Mechanism and Machine Theory, 45, 11, 1651-1667
• 11. Lazarus A., Prabel B., Combescure D., 2010, A 3D finite element model for the vibration analysis of asymmetric rotating machines, Journal of Sound and Vibration, 329, 3780-3797
• 12. Lei S.G., Palazzolo A., 2008, Control of flexible rotor systems with active magnetic bearings, Journal of Sound and Vibration, 314, 19-38
• 13. Nelson H.D., McVaugh J.M., 1976, The dynamics of rotor-bearing systems using finite elements, Journal of Engineering for Industry, 98, 593-600
• 14. Oncescu F., Lakis A.A., Ostiguy G., 2001, Investigation of the stability and steady state response of asymmetric rotors using finite element formulation, Journal of Sound and Vibration, 245, 2, 303-328
• 15. Tsai N.-C., Li H.-Y., Lin C.-C., Chiang C.-W., Wang P.-L., 2011, Identification of rod dynamics under influence of active magnetic bearing, Mechatronics, 21, 6, 1013-1024

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017)