Active vibration control of turbomachinery: A numerical investigation of modal controllers

Abstract In this paper the authors report on the results of a numerical study which examines the application of modal techniques for controlling lateral vibrations in rotating machinery. The basis of the investigation is a finite-element model of a multiple-disc rotor running in flexibly-supported fluid-film bearings. The influence of modal control using full state-variable feedback is first demonstrated. It is then shown how an estimation algorithm is applied to reconstruct the state vector from the minimum number of measurements. Finally the implications of deliberately reducing the order the modal controller/estimator on the stability of the closed-loop system are examined and the effect of measurement noise is considered. It is emphasised that the eventual implementation of the proposed approach to controlling multiple modes of vibration depends upon the availability of accurate mathematical models of the dynamics of the physical system.

[1]  R. E. Kalman,et al.  A New Approach to Linear Filtering and Prediction Problems , 2002 .

[2]  T. Higgins,et al.  Modal Control: Theory and Applications , 1972 .

[3]  M. Balas,et al.  Feedback control of flexible systems , 1978 .

[4]  R. Stanway,et al.  Design and application of a finite element package for modelling turbomachinery vibrations , 1989 .

[5]  R. L. Ruhl,et al.  A Finite Element Model for Distributed Parameter Turborotor Systems , 1972 .

[6]  R. Holmes,et al.  Investigation of Squeeze-Film Isolators for the Vibration Control of a Flexible Rotor , 1979 .

[7]  R. Stanway,et al.  A Linear, Frequency Domain Filter for Parameter Identification of Vibrating Structures , 1987 .

[8]  Hassan K. Khalil,et al.  Singular perturbation methods in control : analysis and design , 1986 .

[9]  F. K. Orcutt,et al.  Calculations and Experiments on the Unbalance Response of a Flexible Rotor , 1967 .

[10]  Clark J. Radcliffe,et al.  Identification and Control of Rotating Disk Vibration , 1983 .

[11]  R. Stanway,et al.  Identification of structural vibration parameters by using a frequency domain filter , 1986 .

[12]  J. W. Lund.  Modal Response of a Flexible Rotor in Fluid-Film Bearings , 1974 .

[13]  R. Stanway,et al.  Active Vibration Control of a Flexible Rotor on Flexibly-Mounted Journal Bearings , 1981 .

[14]  R. Stanway,et al.  Modelling and Control of Turbomachinery Vibrations , 1988 .

[15]  D. Luenberger.  Observing the State of a Linear System , 1964, IEEE Transactions on Military Electronics.

[16]  R. Holmes,et al.  The effect of external damping on the vibration of flexible shafts supported on oil-film bearings , 1977 .