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Control System Design for Flexible Rotors Supported by Actively Lubricated BearingsDepartment of Mechanical Engineering, Engineering School of São Carlos, University of São Paulo, 13566-590, São Carlos, Brazil
Department of Mechanical Engineering, Technical University of Denmark, 2800 Lyngby, Denmark (ifs{at}mek.dtu.dk) This article presents a methodology for calculating the gains of an output feedback controller for active vibration control of flexible rotors. The methodology is based on modal reduction. The proportional and derivative gains are obtained by adjusting the first two damping factors of the system and keeping the lengths of the two eigenvalues constant in the real-imaginary plane. The methodology is applied to an industrial gas compressor supported by active tilting-pad journal bearings. The unbalance response functions and mode shapes of the flexible rotor with and without active control are presented, showing significative improvement in damping reserve with the control. The importance of sensor location is emphasized, on the basis of the energy necessary to operate the active system over the entire frequency range studied. The best results are obtained by a decentralized controller, observing displacement and velocity of the shaft at the bearing positions.
Key Words: Control design active lubrication tilting-pad bearings flexible shaft rotor dynamics.
This version was published on March
1, 2008 Journal of Vibration and Control, Vol. 14, No. 3,
347-374 (2008) |
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