Modal response of a beam with a sensor–actuator pair for the implementation of velocity feedback control

Modal response of a beam with a sensor–actuator pair for the implementation of velocity... A theoretical analysis is presented of the flexural vibration of a beam with a control system which implements direct velocity feedback using either an ideal collocated force actuator or a closely located piezoelectric patch actuator. The aim of this study is to describe the vibration of the beam as the control gain is raised. Both control systems generate active damping which reduces the vibration level at resonance frequencies. However, it is shown that when the gain passes an optimal value then the vibration of the beam is rearranged into a new set of lightly damped resonance frequencies, since the control systems impose new boundary conditions at the control position on the beam, in which the velocity is driven to zero in both cases but different spatial derivatives of the velocity are driven to zero in the case of the force actuator and the piezoelectric patch actuator. The new “natural frequencies” and “natural modes” of the beam constrained by the two feedback control systems with large control gains are derived analytically. The new resonance frequencies and mode shapes seen in the simulations are consistent with the natural frequencies and natural modes of the constrained beams derived analytically. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Sound and Vibration Elsevier

Modal response of a beam with a sensor–actuator pair for the implementation of velocity feedback control

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Publisher
Elsevier
Copyright
Copyright © 2004 Elsevier Ltd
ISSN
0022-460X
eISSN
1095-8568
D.O.I.
10.1016/j.jsv.2004.06.018
Publisher site
See Article on Publisher Site

Abstract

A theoretical analysis is presented of the flexural vibration of a beam with a control system which implements direct velocity feedback using either an ideal collocated force actuator or a closely located piezoelectric patch actuator. The aim of this study is to describe the vibration of the beam as the control gain is raised. Both control systems generate active damping which reduces the vibration level at resonance frequencies. However, it is shown that when the gain passes an optimal value then the vibration of the beam is rearranged into a new set of lightly damped resonance frequencies, since the control systems impose new boundary conditions at the control position on the beam, in which the velocity is driven to zero in both cases but different spatial derivatives of the velocity are driven to zero in the case of the force actuator and the piezoelectric patch actuator. The new “natural frequencies” and “natural modes” of the beam constrained by the two feedback control systems with large control gains are derived analytically. The new resonance frequencies and mode shapes seen in the simulations are consistent with the natural frequencies and natural modes of the constrained beams derived analytically.

Journal

Journal of Sound and VibrationElsevier

Published: Jun 7, 2005

References

  • Active vibroacoustic control with multiple local feedback loops
    Elliott, S.J.; Gardonio, P.; Sors, T.J.; Brennan, M.J.
  • Unconditional stability domains of structural control systems using dual actuator–sensor pairs
    Jayachadran, V.; Sun, J.Q.
  • Distributed transducers and collocation
    Burke, S.E.; Hubbard, J.E.; Meyer, J.E.

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