It has been shown that significant reductions in structural vibration levels can be achieved using a hybrid system involving constrained layer damping and active control with piezoceramics. In this paper, mathematical models based on the Rayleigh Ritz approach, are developed to describe the longitudinal and flexural vibration behaviour of a cantilevered beam when excited using piezoceramic patches bonded to a constrained layer damping treatment. Predictions of static and steady state dynamic behaviour, obtained using the models are validated by comparison with results from finite element analysis and laboratory experiments. The models are then used in open loop and closed loop velocity feedback control simulations to demonstrate the improvements in stability and performance achieved using this method over that achieved using conventional active control.

1.
Balas
M. J.
, “
Trends in Large Space Structure Control Theory: Fondest Hopes, Wildest Dreams
,”
IEEE Transactions on Automatic Control
, Vol.
AC-27
, pp.
522
535
, June
1982
.
2.
Plump, J. M., & Hubbard, J. E., “Modelling of Active Constrained Layer Damper,” 12th International Congress on Acoustics, Paper no. D41, Toronto, July 1986.
3.
Baz, A., “Active Constrained Layer Damping,” Damping ’93 Conference, San Francisco, Feb. 1993.
4.
Shen
I. Y.
, “
Bending-Vibration Control of Composite and Isotropic Plates Through Intelligent Constrained Layer Treatments
,”
Journal of Smart Materials and Structures
, Vol.
3
, pp.
59
70
,
1994
.
5.
Van Nostrand, W. C., Knowles, G. J., Inman, D. J., “Active Constrained Layer Damping for Micro-satellites,” Dynamics and Control of Structures in Space, Vol. 2, pp. 667–681, edited by: Kirk, C. L. & Hughes, P. C.
6.
Azvine, B., Tomilnson, G. R., and Wynne, R. J., “Initial Studies in the Use of Active Constrained Layer Damping for Controlling Resonant Vibration,” submitted to the Journal of Smart Materials and Structures, 1994.
7.
Azvine, B., Tomlinson, G. R., Wynne, R. J., and Sensburg, O., “Vibration Suppression of Flexible Structures Using Active Damping,” 4th International Conference on Adaptive Structures, Cologne, Nov. 1994.
8.
Leibowitz, M. M., & Vinson, J. R., “Active (Piezoelectric) Constiained Layer Damping in Composite Sandwich Structures,” 4th International Conference on Adaptive Structures, Cologne, Nov. 1994.
9.
Mead
D. J.
, &
Markus
S.
, “
The Forced Vibration of a Three Layer Damped Sandwich Beam with Arbitrary Boundary
,”
Journal of Sound and Vibration
, Vol.
10
, pp.
163
175
,
1969
.
10.
Baz, A., & Ro, J., “Performance Characteristics of Active Constrained Layer Damping,” submitted to the Journal of Smart Materials and Structures, 1994.
11.
Van Nostrand, W. C., Knowles, G. J., Inman, D. J., “Finite Element Methods for Active Constrained Layer Damping,” Passive Damping—North American Conference on Smart Structures and Materials, pp. 126–137, Orlando, 1994.
12.
Eisele, U., Introduction to Polymer Physics, Springer-Verlag, USA, 1990.
13.
Blevins, R. D., Formulas for Natural Frequency and Mode Shape, Van Nostrand Reinhold, New York, 1979.
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