Table of Contents Author Guidelines Submit a Manuscript
International Journal of Rotating Machinery
Volume 2014, Article ID 603241, 11 pages
http://dx.doi.org/10.1155/2014/603241
Research Article

A New Method for Field-Balancing of High-Speed Flexible Rotors without Trial Weights

1Department of Mechanical Engineering, King Fahd University of Petroleum & Minerals, KFUPM Box 1767, Dhahran 31261, Saudi Arabia
2Data & Consulting Services, Schlumberger, Dhahran Tech Valley, Dhahran 31261, Saudi Arabia
3Department of Mathematics, King Fahd University of Petroleum & Minerals, KFUPM Box 1767, Dhahran 31261, Saudi Arabia

Received 15 January 2014; Revised 20 April 2014; Accepted 21 May 2014; Published 15 June 2014

Academic Editor: Hyeong Joon Ahn

Copyright © 2014 Y. A. Khulief et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. ISO Standard 1925, Glossary of Terms Used in the Mechanical Balancing of Rotating Machinery, 1981.
  2. ISO Standard 5343, Recommendations For Criteria For Evaluating Flexible Rotors Balance, 1983.
  3. ISO Standard 11342, Methods and Criteria For the Mechanical Balancing of Flexible Rotors, 1998.
  4. R. E. Bishop and A. G. Parkinson, “On the isolation of modes in the balancing of flexible shafts,” Proceedings of the Institute of Mechanical Engineers, vol. 177, pp. 407–426, 1963. View at Publisher · View at Google Scholar
  5. J. W. Lund and F. K. Orcutt, “Calculation and experiments on the unbalance response of a flexible rotor,” ASME Transactions, Journal of Manufacturing Science and Engineering, vol. 89, no. 4, pp. 785–796, 1967. View at Publisher · View at Google Scholar
  6. J. M. Tessarzik, R. H. Badgley, and W. J. Anderson, “Flexible rotor balancing by the exact point-speed influence coefficient method,” Journal of Engineering for Industry-Transactions of the ASME, vol. 94, no. 1, pp. 148–158, 1972. View at Publisher · View at Google Scholar · View at Scopus
  7. R. E. Bishop and A. G. Parkinson, “On the use of balancing machines for flexible rotors,” ASME Transactions, Journal of Engineering for Industry, vol. 94, no. 2, pp. 561–574, 1972. View at Publisher · View at Google Scholar
  8. W. Kellenberger, “Should a flexible rotor be balanced in N or (N + 2) planes?” ASME Transactions, Journal of Engineering for Industry, vol. 94, no. 2, pp. 548–560, 1972. View at Publisher · View at Google Scholar · View at Scopus
  9. A. G. Parkinson, M. S. Darlow, and A. J. Smalley, “A theoretical introduction to the development of a unified approach to flexible rotor balancing,” Journal of Sound and Vibration, vol. 68, no. 4, pp. 489–506, 1980. View at Google Scholar · View at Scopus
  10. P. Gnielka, “Modal balancing of flexible rotors without test runs: an experimental investigation,” Journal of Sound and Vibration, vol. 90, no. 2, pp. 157–172, 1983. View at Google Scholar · View at Scopus
  11. P. G. Morton, “Modal balancing of flexible shafts without trial weights,” Proceedings of the Institution of Mechanical Engineers C, Mechanical Engineering Science, vol. 199, no. 1, pp. 71–78, 1985. View at Publisher · View at Google Scholar
  12. B. Xu, L. Qu, and R. Sun, “Optimization technique-based balancing of flexible rotors without test runs,” Journal of Sound and Vibration, vol. 238, no. 5, pp. 877–892, 2000. View at Publisher · View at Google Scholar · View at Scopus
  13. J. K. Sinha, A. W. Lees, and M. I. Friswell, “Estimating unbalance and misalignment of a flexible rotating machine from a single run-down,” Journal of Sound and Vibration, vol. 272, no. 3-5, pp. 967–989, 2004. View at Google Scholar · View at Scopus
  14. G. Genta and F. De Bona, “Unbalance response of rotors: a modal approach with some extensions to damped natural systems,” Journal of Sound and Vibration, vol. 140, no. 1, pp. 129–153, 1990. View at Google Scholar · View at Scopus
  15. R. Zlatan, “Comprehensive analysis of a rotordynamic problem,” in Proceedings of the 3rd International Symposium on Stability Control of Rotating Machinery (ISCORMA-3), pp. 19–23, Cleveland, Ohio, USA, September 2005.
  16. S.-G. Tan and X.-X. Wang, “A theoretical introduction to low speed balancing of flexible rotors: unification and development of the modal balancing and influence coefficient techniques,” Journal of Sound and Vibration, vol. 168, no. 3, pp. 385–394, 1993. View at Publisher · View at Google Scholar · View at Scopus
  17. L. Shi, “A modified balancing method for flexible rotors based on multi-sensor fusion,” Journal of Applied Sciences, vol. 5, no. 3, pp. 465–469, 2005. View at Publisher · View at Google Scholar
  18. Y. Kang, T.-W. Lin, Y.-J. Chang, Y.-P. Chang, and C.-C. Wang, “Optimal balancing of flexible rotors by minimizing the condition number of influence coefficients,” Mechanism and Machine Theory, vol. 43, no. 7, pp. 891–908, 2008. View at Publisher · View at Google Scholar · View at Scopus
  19. G. N. D. S. Sudhakar and A. S. Sekhar, “Identification of unbalance in a rotor bearing system,” Journal of Sound and Vibration, vol. 330, no. 10, pp. 2299–2313, 2011. View at Publisher · View at Google Scholar · View at Scopus
  20. X. Li, L. Zheng, and Z. Liu, “Balancing of flexible rotors without trial weights based on finite element modal analysis,” JVC/Journal of Vibration and Control, vol. 19, no. 3, pp. 461–470, 2013. View at Publisher · View at Google Scholar · View at Scopus
  21. M. A. Mohiuddin and Y. A. Khulief, “Modal characteristics of rotors using a conical shaft finite element,” Computer Methods in Applied Mechanics and Engineering, vol. 115, pp. 125–144, 1994. View at Google Scholar · View at Scopus
  22. Y. A. Khulief and M. A. Mohiuddin, “On the dynamic analysis of rotors using modal reduction,” Finite Elements in Analysis and Design, vol. 26, no. 1, pp. 41–55, 1997. View at Google Scholar · View at Scopus
  23. M. A. Mohiuddin and Y. A. Khulief, “Coupled bending torsional vibration of rotors using finite element,” Journal of Sound and Vibration, vol. 223, no. 2, pp. 297–316, 1999. View at Google Scholar · View at Scopus
  24. J. W. Brewer, “Kronecker products and matrix calculus in system theory,” IEEE Transactions on Circuits and Systems, vol. 25, no. 9, pp. 772–781, 1978. View at Google Scholar · View at Scopus
  25. M. Khalil, S. Adhikari, and A. Sarkar, “Linear system identification using proper orthogonal decomposition,” Mechanical Systems and Signal Processing, vol. 21, pp. 3123–3145, 2007. View at Publisher · View at Google Scholar
  26. S. R. Ibrahim, “Dynamic modeling of structures from measured complex modes,” AIAA Journal, vol. 21, no. 6, pp. 898–901, 1983. View at Publisher · View at Google Scholar · View at Scopus
  27. ISO 1940-1, “Mechanical vibrations: balance quality requirements of rigid rotors—part I,” in Determination of Permissible Residual Unbalance, International Organization for Standardization, Geneva, Switzerland, 1986. View at Google Scholar
  28. ANSI/ASA S2.42 Revision 82, American National Standard Procedures For Balancing Flexible Rotors, 2004.
  29. ANSI/ASA S2.42 Revision 80, Criteria For Evaluating Flexible Rotor Balance, 2005.
  30. Y. A. Khulief and M. A. Mohiuddin, “Low-speed balancing for high-speed flexible rotors,” KACST Technical Report AR-28-34, King Abdulaziz City for Science & Technology (KACST), Riyadh, Saudi Arabia, 2013. View at Google Scholar