M. Arias-Montiel*¹, G. Silva-Navarro² and A. Antonio-García³

^1,3 Instituto de Electrónica y Mecatrónica Universidad Tecnológica de la Mixteca Huajuapan de León, Oaxaca, México. *mam@mixteco.utm.mx

² Departamento de Ingeniería Eléctrica - Sección de Mecatrónica Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional México, D. F., México.

Abstract

In this paper the problem of modeling, analysis and unbalance response control of a rotor system with two disks in an asymmetrical configuration is treated. The Finite Element Method (FEM) is used to get the system model including the gyroscopic effects and then, the obtained model is experimentally validated. Rotordynamic analysis is carried out using the finite element model obtaining the Campbell diagram, the natural frequencies and the critical speeds of the rotor system. An asymptotic observer is designed to estimate the full state vector which is used to synthesize a Linear Quadratic Regulator (LQR) to reduce the vibration amplitudes when the system passes through the first critical speed. Some numerical simulations are carried out to verify the closed-loop system behavior. The active vibration control scheme is experimentally validated using an active suspension with electromechanical linear actuators, obtaining significant reductions in the resonant peak.

DESCARGAR ARTÍCULO EN FORMATO PDF

References

[1] De Silva C., "Vibration Damping, Control and Design", Boca Raton, FL: CRC Press, 2007.         [ Links ]

[2] Friswell M.I. et al., "Dynamics of Rotating Machinery", New York, NY: Cambridge University Press, 2010.         [ Links ]

[3] Genta G., "Dynamics of Rotating Systems", New York, NY: Springer Science, 2005.         [ Links ]

[4] Vance J. et al, "Machinery Vibration and Rotordynamics", Hoboken, New Jersey: John Wiley & Sons, 2010.         [ Links ]

[5] Khoshravan M.R. and Paykani A., Design of a Composite Drive Shaft and its Coupling for Automotive Application, J Appl Res Technol, vol. 10, no. 6, pp. 826-834, 2012.         [ Links ]

[6] Vollan A. and Komzsik L., "Computational Techniques of Rotor Dynamics with the Finite Element Method", Boca Raton, FL: CRC Press, 2012.         [ Links ]

[7] Xian J. et al, Identification of Crack in a Rotor System Based on Wavelet Finite Element Method, Finite Elem Anal Des, vol. 43, no. 14, pp. 1068-1081, 2007.         [ Links ]

[8] Bucher I. and Ewins D. J., Modal Analysis and Testing of Rotating Structures, Phil. Trans. R. Soc. Lon., vol. 359, no. 1778, pp. 61-96, 2001.         [ Links ]

[9] Suh J. H. et al, Modal Analysis of Asymmetric Rotor System with Isotropic Stator Using Modulated Coordinates, J Sound Vib, Vol. 284, no. 3-5, pp. 651-671, 2005.         [ Links ]

[10] Bachschmid N. et al, Identification of Multiple Faults in Rotor Systems, J Sound Vib, vol. 254, no. 2, pp. 327-366, 2002.         [ Links ]

[11] Lei Y. et al, Application of the EEMD Method to Rotor Fault Diagnosis in Rotating Machinery, Mech Syst Signal Pr, vol. 23, no. 4, pp. 1327-1338, 2009.         [ Links ]

[12] Saruhan H. et al, Vibration Analysis of Rolling Element Bearings Defects, J Appl Res Technol, vol. 12, no. 3, pp. 384-395, 2014.         [ Links ]

[13] Blanco-Ortega A. et al, Control de Vibraciones en Maquinaria Rotatoria, Rev Iberoam Autom Inf Ind, vol. 7, no. 4, pp. 36-43, 2010.         [ Links ]

[14] Zhou S. and Shi J., Active Balancing and Vibration Control of Rotating Machinery: A Survey, Shock Vib Digest, vol. 33, no. 4, pp. 361-371, 2001.         [ Links ] Active Vibration Control in a Rotor System by an Active Suspension with Linear Actuators, M. Arias-Montiel et al. / 898-907         [ Links ]

[15] Nicoletti R. and Santos I. F., Control System Design for Flexible Rotors Supported by Actively Lubricated Bearings, J Vib Control, vol. 14, no. 3, pp. 347-374, 2008.         [ Links ]

[16] Bi C. et al, Automatic Learning Control for Unbalance Compensation in Active Magnetic Bearings, IEEE Trans Magnetics, vol. 41, no. 7, pp. 2270-2280, 2005.         [ Links ]

[17] Couzon P. Y. and Der Hagopian J., Neuro-Fuzzy Active Control of Rotor Suspended on Active Magnetic Bearings, J Vib Control, vol. 13, no. 4, pp. 365-384, 2007.         [ Links ]

[18] Lei S. and Palazzolo A., Control of Flexible Rotors Supported by Active Magnetic Bearings, J Sound Vib, vol. 314, no. 1-2, pp. 19-38, 2008.         [ Links ]

[19] Simoes R. C. et al, Active Vibration Control of a Rotor Using Piezoelectric Stack Actuators, J Vib Control, vol. 13, no. 1, pp. 45-64, 2007.         [ Links ]

[20] Schweitzer G. and Maslen E. H. (Eds), "Magnetic Bearings - Theory, Design and Application to Rotating Machinery", Berlin, Germany: Springer Verlag, 2010, pp. 151-165.         [ Links ]

[21] Arias-Montiel M. and Silva-Navarro G., "Design and Control of a Two Disks Asymmetrical Rotor System Supported by a Suspension with Linear Electromechanical Actuators", in Proceedings of 6th International Conference on Electrical Engineering, Computing Science and Automatic Control, Toluca, Mexico, 2009, pp. 503-508.         [ Links ]

[22] Genta G., Consistent Matrices in Rotordynamics, Meccanica, vol. 20, no. 3, pp. 235-248, 1985.         [ Links ]

[23] Anderson B. D. O. and Moore J. B., "Optimal Control - Linear Quadratic Methods", New York, NY: Dover Publications, 2007, pp. 1-34.         [ Links ]

[24] Arias-Montiel M. et al, On-line algebraic identification of eccentricity parameters in active rotor-bearing systems, Int J Mech Sci, vol. 85, pp. 152-159, 2014.         [ Links ]

[25] Arias-Montiel M. and Silva-Navarro G., "Finite Element Modeling and Unbalance Compensation for a Two Disks Asymmetrical Rotor System", in Proceedings of 5th International Conference on Electrical Engineering, Computing Science and Automatic Control, Mexico City, Mexico, 2008, pp. 386-391.         [ Links ]