A variational mathematical model is developed using Hamilton’s principle to describe the dynamics of beams fully-treated with Active Constrained Layer Damping (ACLD) treatments. The resulting distributed-parameter model is utilized in devising a globally stable boundary control strategy which is compatible with the operating nature of the ACLD treatments. The effectiveness of the ACLD in damping out the vibration of cantilevered beams is determined for different control gains and compared with the performance of conventional Passive Constrained Layer Damping (PCLD). The results obtained demonstrate the high damping characteristics of the boundary controller particularly over broad frequency bands.
Issue Section:
Research Papers
1.
Agnes, G. S., and Napolitano, K., “Active Constrained Layer Viscoelastic Damping,” Proc. of 34th SDM Conference, pp. 3499–3506, April 1993.
2.
Azvine, B., Tomlinson, G., and Wynne, R., “Initial Studies into the Use of Active Constrained-Layer Damping for Controlling Resonant Vibrations,” Proc. of Smart Structures and Materials Conference on Passive Damping, C. Johnson, ed., Vol. 2193, pp. 138–149, Orlando, Florida, 1994.
3.
Bailey
T.
Hubbard
J.
Distributed Piezo-electric Polymer Active Vibration Control of A Cantilever Beam
,” Journal of Guidance and Control
, Vol. 8
, pp. 606
–611
, 1985
.4.
Baz, A., “Active Constrained Layer Damping,” U.S. Patent #5, 485,053, Jan 1996.
5.
Baz, A., “Active Constrained Layer Damping,” DAMPING’93 Conference, San Francisco, CA, pp. IBB 1–23, February 1993.
6.
Baz, A., “Dynamic Boundary Control of Beams Using Active Constrained Layer Damping,” Tenth VPI & SU Conference on Dynamics & Control of Large Structures, pp. 49–64. Blacksburg, VA, May 1995.
7.
Baz, A., and Ro, J., “Partial Treatment of Flexible Beams with Active Constrained Layer Damping,” Conference of Engineering Sciences Society, ASME-AMD-Vol. 167, pp. 61–80, Charlottesville, VA, June 1993c.
8.
Baz, A., and Ro, J., “Finite Element Modeling and Performance of Active Constrained Layer Damping,” Ninth VPI & SU Conference on Dynamics & Control of Large Structures, pp. 345–358, Blacksburg, VA, May 1993d.
9.
Baz
A.
Ro
J.
Actively-Controlled Constrained Layer Damping
,” Sound Vibration Magazine
, Vol. 28
, No. 3
, pp. 18
–21
, March 1994
.10.
Baz
A.
Ro
J.
Performance Characteristics of Active Constrained Layer Damping
,” Shock and Vibration Journal
, Vol. 2
, No. 1
, pp. 33
–42
, 1995
a.11.
Baz
A.
Ro
J.
Optimum Design and Control of Active Constrained Layer Damping
,” ASME JOURNAL OF VIBRATION AND ACOUSTICS
, Vol. 117
, pp. 135
–144
, 1995
b.12.
Butkovskiy, A. G., Distribute Control Systems, American Elsevier Publishing Co., Inc., New York, 1969.
13.
Crawley
E.
De Luis
J.
Use of Piezoelectric Actuators as Elements in Intelligent Structures
,” Journal of AIAA
, Vol. 25
, No. 10
, pp. 1373
–1385
, 1987
.14.
DiTaranto
R. A.
Static Analysis of A Laminated Beam
,” ASME Journal of Engineering for Industry
, Vol. 95
, No. 3
, pp. 755
–761
, 1973
.15.
DiTaranto
R. A.
Theory of Vibratory Bending for Elastic and Viscoelastic Layered Finite Length Beams
,” ASME Journal of Applied Mechanics
, Vol. 87
, No. 4
, pp. 881
–886
, 1965
.16.
Dosch
J. J.
Inman
D. J.
Garcia
E.
A Self-Sensing Piezoelectric Actuator for Collocated Control
,” J. of Intelligent Material Systems and Structures
, Vol. 3
, pp. 166
–184
, 1992
.17.
Douglas
B. E.
Yang
J.
Transverse Compressional Damping in the Vibratory Response of Elastic-Viscoelastic-Elastic Beams
,” AIAA Journal
, Vol. 16
, No. 9
, pp. 166
–184
, 1992
.18.
Edberg, D., and Bicos, A., “Design and Development of Passive and Active Damping Concepts for Adaptive Structures,” Conference on Active Materials and Adaptive Structures, G. Knowles, ed., IOP Publishing Ltd., Bristol, UK, pp. 377–382, 1992.
19.
Lam, M. J., Saunders, W. R., and Inman, D. J., “Modeling Active Constrained Layer Damping using Finite Element Analysis and GHM Damping Approach,” Smart Structures and Materials Conference, Paper number 2445–09, San Diego, CA, March 1995.
20.
Mead
D. J.
Markus
S.
The Forced Vibration of a Three-Layer, Damped Sandwich Beam with Arbitrary Boundary Conditions
,” J. of Sound and Vibration
, Vol. 10
, No. 1
, pp. 163
–175
, 1969
.21.
Meirovitch, L., Analytical Methods in Vibrations, MacMillan Pub. Co., Inc., New York, 1967.
22.
Miller, S., and Hubbard, J. Jr., “Observability of a Bernoulli-Euler Beam using PVF2 as a Distributed Sensor,” Seventh Conference on Dynamics & Control of Large Structures, VPI & SU, Blacksburg, VA, pp. 375–930, May 1987.
23.
Nashif, A., Jones, D. I., and Henderson, J. P., Vibration Damping, J. Wiley & Sons, New York, 1985.
24.
Plump, J., and Hubbard, J. E., “Modeling of An Active Constrained Layer Damper,” Twelves Intl. Congress on Acoustics, Paper #D41, Toronto, Canada, July 24–31, 1986.
25.
Shen
I. Y.
Hybrid Damping Through Intelligent Constrained Layer Treatments
,” ASME JOURNAL OF VIBRATION AND ACOUSTICS
, Vol. 116
, No. 3
, pp. 341
–349
, 1994
.26.
Van Nostrand, W., Knowles, G., and Inman, D., “Finite Element Modeling for Active Constrained-Layer Damping,” Proc. of Smart Structures and Materials Conference on Passive Damping, C. Johnson, ed., Vol. 2193, pp. 126–137, Orlando, Florida, 1994.
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