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Control of anisotropic rotor vibration using fractional order controller

Treść / Zawartość
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This article presents an analysis of a flexible Jeffcott rotor with an active bearing support. The rotor is coupled with lateral and torsional vibrations and a force from the unbalance vector derived from the Lagrangian method. The active support bearing is controlled by FOPID controller. Changing the rotor vibration is followed by shifting rotor angular speed and achieving the natural frequency. Simulation results demonstrate torsional and lateral vibration of thr rotor at the rotating speed near the natural frequency. Consequently, controlling the lateral vibrations mitigates potential damage and improves safety. FOPID controller introduces a new approach to vibration control of a rotating machine.
Rocznik
Strony
1013--1024
Opis fizyczny
Bibliogr. 16 poz., rys., tab.
Twórcy
  • Bialystok University of Technology, Department of Automatic Control and Robotics, Białystok, Poland
autor
  • Bialystok University of Technology, Department of Automatic Control and Robotics, Białystok, Poland
autor
  • Bialystok University of Technology, Department of Mechanics and Applied Computer Science, Białystok, Poland
Bibliografia
  • 1. Astrom K., Hagglund T., 1995, PID Controllers: Theory, Design and Tuning, Instrument Society of America
  • 2. Biswas A., Das S., Abraham A., Dasgupta S., 2009, Design of fractional-order P IλDµ controllers with an improved differential evolution, Engineering Applications of Artificial Intelligence, 22, 343-350
  • 3. Gan C.B., Wang Y.H., Yang S.X., Cao Y.L., 2014, Nonparametric modeling and vibration analysis of uncertain Jeffcott rotor with disc offset, International Journal of Mechanical Sciences, 78, 126-134
  • 4. Gosiewski Z., 2008a, Analysis of coupling mechanism in lateral/torsional rotor vibrations, Journal of Theoretical and Applied Mechanics, 46, 4, 829-844
  • 5. Gosiewski Z., 2008b, Control-oriented modelling and control of rotor vibration, Acta Mechanica et Automatica, 2, 2, 21-38
  • 6. Gosiewski Z., Muszyńska A., 1992, Dynamics of Rotating Machinery (in Polish), Wydaw. Wyższej Szkoły Inżynierskiej, Koszalin
  • 7. Lalanne M., Ferraris G., 1998, Rotordynamics Prediction in Engineering, John Wiley & Sons Ltd.
  • 8. Ma H., Li H., Niu H., Song R, Wen B., 2013, Nonlinear dynamic analysis of a rotor-bearing-seal system under two loading conditions, Journal of Sound and Vibration, 332, 6128-6154
  • 9. Merrikh-Bayat F., 2011, Efficient method for time-domain simulation of the linear feedback systems containing fractional order controllers, ISA Transactions, 50, 2, 170-176
  • 10. Merrikh-Bayat F., 2012, Rules for selecting the parameters of Oustaloup recursive approximation for the simulation of linear feedback systems containing P IλDµ controller, Communications in Nonlinear Science and Numerical Simulation, 17, 1852-1860
  • 11. Oustaloup A., Levron F., Mathieu B., Nanot F., 2000, Frequency-band complex noninteger differentiator: characterization and synthesis, IEEE Transactions on Circuits and Systems. I: Fundamental Theory and Applications, 47, 1, 25-39
  • 12. Podlubny I., 1999, Fractional-order systems and P IλDµ -controllers, IEEE Transactins on Automatic Control, 44, 1
  • 13. Sawicki J.T., Baaklini G.Y., Gyekenyesi A.L., 2004, Dynamic analysis of accelerating cracked flexible rotor, Turbo ASME Turbo Expo Conference
  • 14. Valsa J., Brancik L., 1998, Approximate formulae for numerical inversion of Laplace transforms, International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, 11, 153-166
  • 15. Vinagre B.M., Podlubny I., Hernandez H., Feliu V., 2000, Some approximations of fractional order operators used in control theory and applications, Fractional Calculus and Applied Analysis, 3, 3, 231-248
  • 16. Xue D., Chen Y.Q., Atherton D., 2001, Linear feedback control – analysis and design with Matlab 6.5, Advances in Design and Control
Uwagi
PL
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniajacą naukę.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-e7aca528-e397-4e89-b0d6-56b410d5a953
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