Active Vibration Control of a Super Element Model of a Thin-walled Structure

Nader Ghareeb, Rüdiger Schmidt

2014

Abstract

Reducing vibration in flexible structures has become a pivotal engineering problem and shifted the focus of many research endeavors. One technique to achieve this target is to implement an active control system. A conventional active control system is composed of a vibrating structure, a sensor to perceive the vibration, an actuator to counteract the influence of disturbances causing vibration, and finally a controller to generate the appropriate control signals. In this work, different linear controllers are used to attenuate the vibrations of a cantilevered smart beam excited by its first eigenmode. A finite element (FE) model of the smart beam is initially created and then modified by using experimental data. The FE model is then reduced to a super element (SE) model with a finite number of degrees of freedom (DOF). Controllers are applied directly to the SE and the results are presented and compared.

References

  1. Adhikari, S. and Woodhouse, J. (2001). Identification of damping: Part 1, viscous damping. Journal of Sound and Vibration, 243, no.1:43-61.
  2. Alipour, A. and Zareian, F. (2008). Study rayleigh damping in structures; uncertainties and treatments. In The 14th World Conference on Earthquake Engineering, Beijing, China.
  3. Allik, H. and Hughes, T. (1970). Finite element method for piezoelectric vibration. International Journal for Numerical Methods in Engineering, 2:151-157.
  4. Bailey, T. (1984). Distributed-parameter vibration control of a cantilever beam using a distributed-parameter actuator. Master's thesis, Massachusetts Institute of Technology.
  5. Bailey, T. and Jr., J. H. (1985). Distributed piezoelectricpolymer active vibration control of a cantilever beam. AIAA Journal of Guidance and Control, 6, no.5:605- 611.
  6. Block, J. and Strganan, T. (1998). Applied active control for a nonlinear aeroelastic structure. Journal of Guidance, Control, and Dynamics, 21, no.6:838-845.
  7. Craig, R. and Bampton, M. (1968). Coupling of substructures for dynamic analyses. AIAA Journal, 6, no.7:1313-1319.
  8. Crawley, E. and Anderson, E. (1990). Detailed models of piezoceramic actuation of beams. Journal of Intelligent Material Systems and Structures, 1, no.1:4-24.
  9. Crawley, E. F. and de Luis, J. (1987). Use of piezoelectric actuators as elements of intelligent structures. AIAA Journal, 25, no.10:1373-1385.
  10. Fanson, J. and Caughey, T. (1990). Positive position feedback control for large space structures. AIAA Journal, 28, no.4:717-724.
  11. Fanson, J. and Chen, J. (1986). Structural control by the use of piezoelectric active members. Proceedings of NASA/DOD Control-Structures Interaction Conference, NASA CP-2447, 2:809-830.
  12. Fei, J. and Fang, Y. (2006). Active feedback vibration suppression of a flexible steel cantilever beam using smart materials. Proceedings of the First International Conference on Innovative Computing, Information and Control (ICICIC'06).
  13. Gawronski, W. (2004). Advanced Structural Dynamics and Active Control of Structures. Springer.
  14. Ghareeb, N. (2013). Design and Implementation of Linear Controllers for the Active Control of Reduced Models of Thin-Walled Structures. PhD thesis, RWTH Aachen University of Technology.
  15. Ghareeb, N. and Radovcic, Y. (August 2009). Fatigue analysis of a wind turbine power train. DEWI magazin, 35:12-16.
  16. Ghareeb, N. and Schmidt, R. (2012). Modeling and active vibration control of a smart structure. In Proceedings of the 9th International Conference on Informatics in Control, Automation and Robotics (ICINCO 2012), volume 1, pages 142-147, Rome.
  17. Goh, C. and Caughey, T. (1985). On the stability problem caused by finite actuator dynamics in the collocated control of large space structures , 1985, vol. 41, no. 3, pp. 787-802. International Journal of Control, 41, no.3:787-802.
  18. Moheimani, S. and Fleming, A. (2006). Piezoelectric Transducers for Vibration Control and Damping. Springer.
  19. Newman, S. (1992). Active damping control of a flexible space structure using piezoelectric sensors and actuators. Master's thesis, U.S. Naval Postgraduate School, CA.
  20. Piefort, V. (2001). Finite Element Modelling of Piezoelectric Active Structures. PhD thesis, Universit Libre de Bruxelles, Belgium.
  21. Varadan, V., Lim, Y., and Varadan, V. (1996). Closed loop finite-element modeling of active/passive damping in structural vibration control. Smart Materials and Structures, 5, no.5:685-694.
  22. Waghulde, K., Sinha, B., Patil, M., and Mishra, S. (2010). Vibration control of cantilever smart beam by using piezoelectric actuators and sensors. International Journal of Engineering and Technology, 2, no.4:259- 262.
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Paper Citation


in Harvard Style

Ghareeb N. and Schmidt R. (2014). Active Vibration Control of a Super Element Model of a Thin-walled Structure . In Proceedings of the 11th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 978-989-758-039-0, pages 657-664. DOI: 10.5220/0005027206570664


in Bibtex Style

@conference{icinco14,
author={Nader Ghareeb and Rüdiger Schmidt},
title={Active Vibration Control of a Super Element Model of a Thin-walled Structure},
booktitle={Proceedings of the 11th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2014},
pages={657-664},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005027206570664},
isbn={978-989-758-039-0},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 11th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,
TI - Active Vibration Control of a Super Element Model of a Thin-walled Structure
SN - 978-989-758-039-0
AU - Ghareeb N.
AU - Schmidt R.
PY - 2014
SP - 657
EP - 664
DO - 10.5220/0005027206570664