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Adaptive balancing of highly flexible rotors by using artificial neural networks

  • Saldarriaga, M. Villafane (Mechanical Systems Laboratory, School of Mechanical Engineering, Federal University of Uberlandia) ;
  • Mahfoud, J. (Laboratoire de Mecanique des Contacts et des Structures, UMR CNRS) ;
  • Steffen, V. Jr. (Mechanical Systems Laboratory, School of Mechanical Engineering, Federal University of Uberlandia) ;
  • Der Hagopian, J. (Laboratoire de Mecanique des Contacts et des Structures, UMR CNRS)
  • Received : 2008.01.26
  • Accepted : 2008.05.29
  • Published : 2009.09.25

Abstract

The present work is an alternative methodology in order to balance a nonlinear highly flexible rotor by using neural networks. This procedure was developed aiming at improving the performance of classical balancing methods, which are developed in the context of linearity between acting forces and resulting displacements and are not well adapted to these situations. In this paper a fully experimental procedure using neural networks is implemented for dealing with the adaptive balancing of nonlinear rotors. The nonlinearity results from the large displacements measured due to the high flexibility of the foundation. A neural network based meta-model was developed to represent the system. The initialization of the learning procedure of the network is performed by using the influence coefficient method and the adaptive balancing strategy is prone to converge rapidly to a satisfactory solution. The methodology is tested successfully experimentally.

Keywords

References

  1. Alauze, C., Der Hagopian, J., Gaudiller, L. and Voinis, P. (2001), "Active balancing of turbomachinery: Application to large shaft lines", J. Vib. Control, 7, 249-278. https://doi.org/10.1177/107754630100700207
  2. Bishop, R. and Gladwell, G. (1959), "The vibration and balancing of an unbalanced flexible rotor", J. Mech. Eng. Sci., 1, 66-77. https://doi.org/10.1243/JMES_JOUR_1959_001_010_02
  3. Foiles, W.C., Allaire, P.E. and Gunter, E.J. (1998), "Review: rotor balancing", Shock Vib., 5, 325-336. https://doi.org/10.1155/1998/648518
  4. Goodman, T.P. (1964), "A least-square method for computing balance corrections", Trans. ASME Journal of Engineering for Industry, 86, 273-279. https://doi.org/10.1115/1.3670532
  5. Haykin, S.S. (1998), Neural networks: a comprehensive foundation, 2nd Edition, Prentice Hall.
  6. Irwin, G.W., Warwick, K. and Hunt, K.J. (1995), Neural network applications in control, The Institution of Electrical Engineers (ISBN 0 85296 852 3).
  7. Kang, Y., Liu, C.P. and Sheen, G.J. (1996), "A modified influence coefficient method for balancing unsymmetrical rotor-bearing systems", J. Sound Vib., 2(11), 199-218.
  8. Kang, Y. (1997), "Development and modification of a unified balancing method for unsymmetrical rotor-bearing system", J. Sound Vib., 199, 349-368. https://doi.org/10.1006/jsvi.1996.0652
  9. Mahfoudh, J., Der Hagopian, J. and Cadoux, J. (1988), "Equilibrage multiplans-multivitesses avec des contraintes imposees sur les deplacements", Mecanique, Materiaux, Electricite, 427, 38-42.
  10. Parkinson, A.G., Darlow, M.S. and Smalley, A.J. (1980), "A theoretical Introduction to the development of a unified approach to flexible rotor Balancing", J. Sound Vib., 68, 489-506. https://doi.org/10.1016/0022-460X(80)90532-5
  11. Riedmiller, M. and Braun, H. (1993), "A direct adaptive method for faster backpropagation learning: The RPROP algorithm", Proc. of the IEEE International Conf. on Neural Networks.
  12. Rieger, N.F. (1986), Balancing of a rigid and flexible rotor, The shock and vibration information centre, United States Department of Defense, 614P.
  13. Saldarriaga, M.V. and Steffen Jr, V. (2003), "Balancing of flexible rotors without trial weights by using optimization techniques", 17th International Congress of Mechanical Engineering, Sao Paulo (Brazil).
  14. Saldarriaga, M.V., Mahfoud, J., Steffen Jr, V. and Der Hagopian, J. (2007), "Balancing of a highly flexible rotor by using artificial neural networks", Proc. of the ASME International Design Engineering Technical Conf. & Computers and Information in Engineering Conf., DETC2007, Las Vegas, USA, 4-7 September.
  15. Steffen Jr, V. and Lacerda, H. (1996), "The balancing of flexible rotors", The International Journal of Analytical and Experimental Modal Analysis, 2(1-2).
  16. Xu, B. and Qu, L. (2001), "A new practical modal method for rotor balancing", Proc. of the Institution of Mechanical Engineers, 215, Part C, 179-189.
  17. Zhoue, S. (2001), "Active balancing and vibration control of rotating machinery: a survey", The Shock and Vibration Digest, September, 361-371.

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