Modeling and Active Vibration Control of a Smart Structure

Nader Ghareeb, Rüdiger Schmidt

Abstract

Active vibration control of flexible structures has gained much attention in the last decades. The major components of any active vibration control system are the mechanical structure suseptible to vibration, sensor(s) to perceive it, actuator(s) to counteract the influence of disturbances causing vibration and finally, the controller responsible for the generation of appropriate control signals. In this paper, a Lyapunov function controller and a strain rate feedback controller (SRF) are used to attentuate the vibrations of a cantilivered smart beam excited by its first eigenmode. A super element (SE) with a finite number of degrees of freedom (DOF) is derived from the modified and damped finite element (FE) model. The state-space (SS) equations of the same model are also extracted. Controllers are applied to the SE and SS models and results are presented and compared.

References

  1. Adhikari, S. (2000). Damping Models for Structural Vibrations. PhD thesis, Cambridge University.
  2. Bailey, T. (1984). Distributed-parameter vibration control of a cantilever beam using a distributed-parameter actuator. Master's thesis, Massachusetts Institute of Technology.
  3. Bailey, T. and Hubbard, J. (1985). Distributed piezoelectricpolymer active vibration control of a cantilever beam. AIAA Journal of Guidance and Control, 6:605-611.
  4. Balas, M. (1978). Active control of flexible systems. Journal of Optimization Theory and Applications, 25:415- 436.
  5. Chowdhury, I. and Dasgupta, S. (2003). Computation of rayleigh damping coefficients for large systems.
  6. Craig, R. and Bampton, M. (1968). Coupling of substructures for dynamic analysis. AIAA Journal, 6:1313- 1319.
  7. Crawley, E. and Anderson, E. (1990). Detailed models of piezoceramic actuation of beams. Journal of Intelligent Material Systems and Structures, 1:4-24.
  8. Crawley, E. and de Luis, J. (1987). Use of piezoelectric actuators as elements of intelligent structures. AIAA Journal, 25:1373-1385.
  9. Fanson, J. and Chen, J., editors (1986). Structural Control by the use of Piezoelectric Active Members, volume 2 Lee, J. B. J. and Davidson, B. (2004). Experimental determination of modal damping from full scale testing. In 13th World Conference on Earthquake Engineering, number 310, Vancouver, Canada.
  10. Mallock, A. (1905). A method of preventing vibration in certain classes of steamships. Teans. Inst. Naval Architects, 47:227-230.
  11. Narayanan, S. and Balamurugan, V. (2003). Finite element modelling of piezolaminated smart structures for active vibration control with distributed sensors and actuators. Journal of Sound and Vibration, 262:529- 562.
  12. Newman, S. (1992). Active damping control of a flexible space structure using piezoelectric sensors and actuators. Master's thesis, U.S. Naval Postgraduate School, California.
  13. Petyt, M. (2003). Introduction to Finite Element Vibration Analysis. Cambridge University Press.
  14. Preumont, A. (2002). Vibration Control of Active Structures, An Introduction. Kluwer Academic Publishers.
  15. Rayleigh, L. (1877). Theory of Sound, volume 1, 2. Dover Publications, New York.
  16. Rickelt-Rolf, C. (2009). Modellreduktion und Substrukturtechnik zur effizienten Simulation dynamischer teilgeschädigter Systeme. PhD thesis, TU CaroloWilhelmina zu Braunschweig, Germany.
  17. Spears, R. and Jensen, S., editors (2009). Approach for Selection of Rayleigh Damping Parameters Used for Time History Analysis, Proceedings of PVP2009, ASME Vessels and Piping Division Conference, Prague, Czech Republic.
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Paper Citation


in Harvard Style

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 - Volume 1: ICINCO, ISBN 978-989-8565-21-1, pages 142-147. DOI: 10.5220/0004004301420147


in Bibtex Style

@conference{icinco12,
author={Nader Ghareeb and Rüdiger Schmidt},
title={Modeling and Active Vibration Control of a Smart Structure},
booktitle={Proceedings of the 9th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2012},
pages={142-147},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004004301420147},
isbn={978-989-8565-21-1},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 9th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,
TI - Modeling and Active Vibration Control of a Smart Structure
SN - 978-989-8565-21-1
AU - Ghareeb N.
AU - Schmidt R.
PY - 2012
SP - 142
EP - 147
DO - 10.5220/0004004301420147