Transactions of the Korean Society for Noise and Vibration Engineering (한국소음진동공학회논문집)

The Korean Society for Noise and Vibration Engineering (한국소음진동공학회)
권호 표지
DOI QR코드

DOI QR Code

Active Vibration Control of Plates Using Filtered Velocity Feedback Controllers

Filtered Velocity Feedback 제어기를 이용한 평판 능동진동제어

  • 신창주 (부산대학교 대학원 기계공학부) ;
  • 홍진숙 (울산과학대학 디지털기계학부) ;
  • 정의봉 (부산대학교 기계공학부)
  • Received : 2011.07.11
  • Accepted : 2011.08.30
  • Published : 2011.10.20
Download PDF
⟨ Previous Next ⟩

Abstract

This paper reports a filtered velocity feedback(FVF) controller, which is an alternative to direct velocity feedback(DVFB) controller. The instability problems at high frequencies due to non-collocated sensor/actuator configuration with the DVFB can be alleviated by the proposed FVF controller. The FVF controller is designed to filter out the unstable high frequency response. The dynamics of a clamped plate under forces and moments and the FVF controllers are formulated. The stability of the control system and performance are investigated with the open loop transfer function(OLTF). It is found that the FVF controller has a higher gain margin than the corresponding DVFB controller owing to the rapid roll-off behavior at high frequencies. Although the gain margin cannot be fully utilized because of the enhancement at the high frequencies, the vibration at the modes lower than the tuning frequency is well controlled. This performance of the FVF controller is shown to be improved from that of the DVFB controller. It is, however, noted that the stability around the tuning frequency is very sensitive so that the enhancement in vibration level should be followed. The reduction performance at low frequencies using the FVF controller should be compromised with the enhancement in the vibration at high frequencies while designing the controller.

Keywords

References

  1. Mixson, J. S. and Powell, C. A., 1984, Review of Recent Research on Interior Noise of Propeller Aircraft, AIAA/NASA 9th Aeroacoustics Conference.
  2. Griffin, M. J., 1990, Handbook of Human Vibration, Elsevier Academic Press, London.
  3. Shin, C. J., Hong, C. S. and Jeong, W. B., 2008, Active Vibration Control of Cantilever Beams Using PZT Actuators, Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 18, No. 12, pp. 1293-1300. https://doi.org/10.5050/KSNVN.2008.18.12.1293
  4. Reza Moheimani, S. O., Halim, D. and Feming, A. J., 2003, Spatial Control of Vibration Theory and Experiments, World Scientific.
  5. Preumont, A., 1997, Vibration Control of Active Structures, Kluwer Academic Publishers.
  6. Cannon Jr., R. H. and Rosenthal, D. E., 1984, Experiments on Control of Flexible Structure with Noncolocated Sensors and Actuators, Journal of Guidance, Control and Dynamics, Vol. 7, pp. 546-553. https://doi.org/10.2514/3.19893
  7. Zhang, Q., Shelley, S. and Allemang, R. J., 1991, Active Damping Design of Flexible Structures Based on SISO and SIMO Noncollocated Sensor/Actuator Velocity Feedback, Journal of Dynamic Systems Measurement and Control - Transactions of the ASME, Vol. 113, Issue 2, pp. 259-266. https://doi.org/10.1115/1.2896373
  8. Gatti, G., Brennan, M. J. and Gardonio, P., 2007, Active Damping of a Beam Using a Physically Collocated Accelerometer and Piezo Electric Patch Actuator, Journal of Sound and Vibration, Vol 303, Issues 3-5, pp. 798-813. https://doi.org/10.1016/j.jsv.2007.02.006
  9. Fanson, J. L. and Caughey, T. K., 1987, Positive Position Feedback Control for Large Space Strutures, Proceedings of the 28th Structural Dynamics Conference, Monterey, CA, pp. 588-598.
  10. Kwak, M. K., Han, S. B. and Heo, S., 2004, The Stability Conditions, Performance and Design Methodology for the Positive Position Feedback Controller, Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 14, No. 3, pp. 208-213. https://doi.org/10.5050/KSNVN.2004.14.3.208
  11. Kwak, M. K. and Heo, S., 2007, Active Vibration Control of Smart Grid Structure by Multiinput and Multioutput Positive Position Feedback Controller, Journal of Sound and Vibration, Vol. 304, Issue 1-2, pp. 230-245. https://doi.org/10.1016/j.jsv.2007.02.021
  12. Juang, J. N and Phan, M., 1992, Robust Controller Design for Second-order Dynamic Systems : A Virtual Passive Approach, Journal of Guidance, Control and Dynamics, Vol. 15, No. 5, pp. 1192-1198. https://doi.org/10.2514/3.20968
  13. Kotnic, P. T., Yurkovich, S., et al., 1988, Acceleration Feedback for Control of a Flexible Manipulator Arm, Journal of Robotic Systems, Vol. 3, pp. 181-195.
  14. Preumont, A. and Loix, N., 1994, Active Damping of a Stiff Beam-like Structure with Acceleration Feedback, Experimental Mechanics, Vol. 34, No. 1, pp. 23-26. https://doi.org/10.1007/BF02328438
  15. Shin, C. J., Hong, C. S. and Jeong, W. B., 2010, Active Control of Clamped Beams using Acceleration Feedback Controllers, Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 20, No. 12, pp. 1190-1199. https://doi.org/10.5050/KSNVE.2010.20.12.1190
  16. Shin, C. J., Hong, C. S. and Jeong, W. B., 2011, Active Control of Clamped Beams using Filtered Velocity Feedback Controllers, Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 21, No. 5, pp. 447-454. https://doi.org/10.5050/KSNVE.2011.21.5.447
  17. Meirovitch, L., 1967, Analysis Methods in Vibration, The Macmillan Company.
  18. Warburton, G. B., 1951, The Vibration of Rectangular Plates, Proceeding of Institute of Mechanical Engineering, Vol. 168, pp. 371-384.