Active vibration control of a rotor-bearing system based on dynamic stiffness
AbstractThis paper presents an active vibration control scheme to reduce unbalance-induced synchronous vibration in rotor-bearing systems supported on two ball bearings, one of which can be automatically moved to control the effective rotor length and, as an immediate consequence, the rotor stiffness. This dynamic stiffness control scheme, based on frequency analysis, speed control and acceleration scheduling, is used to avoid resonant vibration of a rotor system when it passes (run-up or coast down) through its first critical speed. Algebraic identification is used for on-line unbalance estimation at the same time that the rotor is taken to the desired operating speed. Some numerical simulations and experiments are included to show the unbalance compensation properties and robustness of the proposed active vibration control scheme when the rotor is started and operated over the first critical speed.
S. Zhou, J. Shi. “Active balancing and vibration control of rotating machinery: a survey”. The Shock and Vibration Digest. Vol. 33. 2001. pp. 361-371.
G. Sheu, S. Yang, C. Yang. “Design of experiments for the controller of rotor systems with a magnetic bearing”. Journal of Vibration and Acoustics. Vol. 119. 1997. pp. 200-207.
Y. Guozhi, Y. F. Fah, C. Guang, M. Guang, F. Tong, Q. Yang. “Electro-rheological multi-layer squeeze film damper and its application to vibration control of rotor system”. Journal of Vibration and Acoustics. Vol. 122. 2000. pp. 7-11.
B. Palazzolo, S. Jagannathan, A. F. Kaskaf, G. T. Monatgue, L. J. Kiraly. “Hybrid active vibration control of rotorbearing systems using piezoelectric actuators”. Journal of Vibration and Acoustics. Vol. 115. 1993. pp. 111-119.
Q. Jinhao, J. Tani and T. Kwon. “Control of self-excited vibration of a rotor system with active gas bearings”. Journal of Vibration and Acoustics. Vol. 125. 2003. pp. 328-334.
X. Yu. “General influence coefficient algorithm in balancing of rotating machinery”.International Journal of Rotating Machinery. Vol. 10. 2004. pp. 85- 90.
S. Lee, B. Kim, J. Moon, D. Kim. “A study on active balancing for rotating machinery using influence coefficient method”. Proceedings of International Symposium on Computational Intelligence in Robotics and Automation. Espoo. 2005. pp. 659- 664.
S. Zhou, S. Dyer, K. K. Shin, J. Shi, J. Ni. “Extended influence coefficient method for rotor active balancing during acceleration”. Journal of Dynamics Systems Measurements and Control. Vol. 126. 2004. pp. 219- 223.
L. Ljung. Systems identification: theory for the user. Ed Prentice-Hall. New Jersey. 1987. pp. 168-361.
S. Sagara, Z. Y. Zhao. “Numerical integration approach to on-line identification of continuous systems”. Automatica. Vol. 26. 1990. pp. 63-74.
S. Sagara, Z. Y. Zhao. “Recursive identification of transfer function matrix in continuous systems via linear integral filter”. International Journal of Control. Vol. 50. 1989. pp. 457-477.
M. Fliess, H. Sira-Ramírez. “An algebraic framework for linear identification, ESAIM: Control”. Optimization and Calculus of Variations. Vol. 9. 2003. pp. 151-168.
F. Beltrán-Carbajal, H. Sira-Ramírez, G. Silva- Navarro. “Adaptive-like active vibration supression for a nonlinear mechanical system using on-line algebraic identification”. Proceedings of the Thirteenth International Congress on Sound and Vibration. Vienna. July 2006. pp. 1-8.
F. Beltrán-Carbajal, G. Silva-Navarro, H. Sira- Ramírez, J. Quezada Andrade. “Active vibration control using on-line algebraic identification of harmonic vibrations”. Proceedings of American Control Conference. Portland (Oregon). 2005. pp. 4820-4825.
J. M. Vance. Rotordynamics of Turbomachinery. Ed. John Wiley and Sons. New York. 1988. pp. 7-231.
A. Dimarogonas. Vibration for Engineers. Ed. Prentice Hall. New Jersey. 1996. pp. 533-536.
Z. Sandler. Robotics: designing the mechanism for automated machinery. Ed. Academic Press. San Diego (CA). 1999. pp. 162-164.
K. T. Millsaps, L. Reed. “Reducing lateral vibrations of a rotor passing through critical speeds by acceleration scheduling”. Journal of Engineering for Gas Turbines and Power. Vol. 120. 1998. pp. 615-620.
S. S. Rao. Mechanical Vibration. Ed. Pearson Education. New Jersey. 2004. pp. 671-1034.
M. Fliess, R. Marquez, E. Delaleau, H. Sira Ramírez. “Correcteurs proportionnels-integraux generalizes”. ESAIM Control, Optimisation and Calculus of Variations. Vol. 7. 2002. pp. 23-41.
Copyright (c) 2018 Revista Facultad de Ingeniería
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Authors can archive the pre-print version (i.e., the version prior to peer review) and post-print version (that is, the final version after peer review and layout process) on their personal website, institutional repository and / or thematic repository
- Upon acceptance of an article, it will be published online through the page https://revistas.udea.edu.co/index.php/ingenieria/issue/archive in PDF version with its correspondent DOI identifier
The Revista Facultad de Ingeniería -redin- encourages the Political Constitution of Colombia, chapter IV
Chapter IV Sanctions 51
The following shall be liable to imprisonment for two to five years and a fine of five to 20 times the legal minimum monthly wage: (1) any person who publishes an unpublished literary or artistic work, or part thereof, by any means, without the express prior authorization of the owner of rights; (2) any person who enters in the National Register of Copyright a literary, scientific or artistic work in the name of a person other than the true author, or with its title altered or deleted, or with its text altered, deformed, amended or distorted, or with a false mention of the name of the publisher or phonogram, film, videogram or software producer; (3) any person who in any way or by any means reproduces, disposes of, condenses, mutilates or otherwise transforms a literary, scientific or artistic work without the express prior authorization of the owners thereof; (4) any person who reproduces phonograms, videograms, software or cinematographic works without the express prior authorization of the owner, or transports, stores, stocks, distributes, imports, sells, offers for sale, acquires for sale or distribution or in any way deals in such reproductions. Paragraph. If either the material embodiment or title page of or the introduction to the literary work, phonogram, videogram, software or cinematographic work uses the name, business style, logotype or distinctive mark of the lawful owner of rights, the foregoing sanctions shall be increased by up to half.