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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 77
PROCEEDINGS OF THE NINTH INTERNATIONAL CONFERENCE ON CIVIL AND STRUCTURAL ENGINEERING COMPUTING
Edited by: B.H.V. Topping
Paper 114

Design of Smart Beams for Suppression of Wind-Induced Vibrations

G.E. Stavroulakis+*, G. Foutsitzi$, V. Hadjigeorgiou$, D. Marinova# and C.C. Baniotopoulos++

+Applied Mathematics and Mechanics, University of Ioannina, Greece
*Civil Engineering, Technical University of Braunschweig, Germany
$Material Science and Engineering, University of Ioannina, Greece
#Applied Mathematics and Informatics, Technical University of Sofia, Bulgaria
++Institute of Steel Structures, Civil Engineering, Aristotle University of Thessaloniki, Greece

Full Bibliographic Reference for this paper
G.E. Stavroulakis, G. Foutsitzi, V. Hadjigeorgiou, D. Marinov, C.C. Baniotopoulos, "Design of Smart Beams for Suppression of Wind-Induced Vibrations", in B.H.V. Topping, (Editor), "Proceedings of the Ninth International Conference on Civil and Structural Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 114, 2003. doi:10.4203/ccp.77.114
Keywords: smart beams, piezoelectric elements, robust control, wind effects on structures.

Summary
This paper studies vibration control of a beam with bonded piezoelectric sensors and actuators and applications of the arising smart structure for suppression of wind-induced vibrations. For general thoughts about active structures the reader may consult the review article [1]. The mechanical modeling of the structure and the subsequent finite element approximation are based on the classical equations of motion, as they are derived from Hamilton's principle, in connection with simplified modeling of the piezoelectric sensors and actuators. Both Timoshenko and Euler-Bernoulli technical beam theories have been tested cf. [2]. Various control schemes have been implemented in structural control (LQR, LQG, H2, and Hinfinity). The H<2 control design technique provides better robustness and allows for the control objectives to be conveniently defined in time domain [3]. The numerical simulation shows that vibration can be significantly suppressed by the proposed controller.

Figure 114.1: A cantilever beam with four finite element nodes under sinusoidal, wind-type loading. Results for uncontrolled (green) and controlled (blue) vertical displacements for all nodes. Vibrations near the free end (bottom-right plot) are suppressed. Worse results appearing near the fixed end (upper-left plot) are due to the fact that H2 robust controller includes an estimation of the structural system from incomplete measurements and insufficient accuracy of the simplified finite element model in higher vibration modes.
stavroul.eps

References
1
Sunar M., Rao S.S., "Resent Advance in Sensing and Control of Flexible Structures via Piezoelectric Materials Technology", Appl. Mech. Rev., vol.52, no.1, January 1999. doi:10.1115/1.3098923
2
Aldraihem O.J., Wetherhold R.C., Singh T., "Distributed Control of Laminated Beams: Timoshenko Theory vs. Euler-Bernoulli Theory", Journal of Intelligent Material Systems and Structures, vol.8-February 1997.
3
Foutsitzi G., Marinova D., Hadjigeorgiou E., Stavroulakis G., Finite Element Modeling of Optimally Controlled Smart Beams, 28th Summer School: Applications of Mathematics in Engineering and Economics, Sozopol, Bulgaria, June 8-11, 2002.

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