This paper presents the theoretical development and experimental verification of a system model of piezoelectric (PZT) patch actuators for induced strain actuation of two-dimensional active structures. The model includes the dynamic interaction between PZT actuators and their host structures. Analytical solutions of the output behavior of the PZT actuators have been developed based upon the actuator input impedance and the mechanical impedance of the host structures. The impedance-based model was then applied to thin plates and thin shells, and to beams. The case studies demonstrate the generality and utility of the impedance modeling approach. A simply-supported thin plate with surface-bonded PZT patches was built and tested so that the ability of the impedance model to accurately predict the dynamic performance of the actuator and the host structure has been verified. When compared with conventional static models, the impedance modeling method offers insight into the dynamic coupling of the integrated PZT/substrate systems.

1.
Bailey
T.
, and
Hubbard
J. E.
,
1985
, “
Distributed Piezoelectric-Polymer Active Vibration Control of a Cantilever Beam
,”
Journal of Guidance and Control
, Vol.
8
, No.
5
, pp.
605
611
.
2.
Cudney, H. H., Inman, D. J., and Oshman, Y., 1990, “Distributed Structural Control Using Multilayered Piezoelectric Actuators,” Proceedings of the AIAA/ASME/ASCE/AHS/ASC 31st Structures, Structural Dynamics and Materials Conference, Long Beach, CA, April 2-4, 1990, AIAA-90-1088-CP, pp. 2257–2264.
3.
Crawley
E. F.
, and
de Luis
J.
,
1987
, “
Use of Piezoelectric Actuators as Elements of Intelligent Structures
,”
AIAA Journal
, Vol.
25
, No.
10
, pp.
1373
1385
.
4.
Crawley
E. F.
, and
Lazarus
K. B.
,
1991
, “
Induced Strain Actuation of Isotropic and Anisotropic Plates
,”
AIAA Journal
, Vol.
29
, No.
6
, pp.
944
951
.
5.
Dimitriadis, E. K., Fuller, C. R., and Rogers, C. A., 1989, “Piezoelectric Actuators for Distributed Noise and Vibration Excitation of Thin Plates,” ASME Failure Prevention and Reliability, DE-Vol. 16, pp. 223–233.
6.
Hagood, N. W., Chung, W. H., and von Flotow, A., 1990, “Modeling of Piezoelectric Actuator Dynamics for Active Structural Control,” Proceedings of the AIAA/ASME/ASCE/AHS/ASC 31st Structures, Structural Dynamics and Materials Conference, Long Beach, CA, April 2-4, 1990, AIAA-90-1097-CP, pp. 2242–2256.
7.
Inman, D. J., 1990, “Control/Structure Interaction: Effects of Actuators Dynamics,” Mechanics and Control of Large Flexible Structures, J. L. Junkins, ed., AIAA, Inc., Washington, DC, pp. 507–533.
8.
Kim
S. J.
, and
Jones
J. D.
,
1991
, “
Optimal Design of Piezoactuators for Active Noise and Vibration Control
,”
AIAA Journal
, Vol.
29
, No.
12
, pp.
2047
2053
.
9.
Leissa, A. W., 1973, Vibration of Shells, NASA, pp. 31–157.
10.
Liang, C., Sun, F. P., and Rogers, C. A., 1993, “Dynamic Output Characteristics of Piezoceramic Actuators,” Proceedings of Smart Structures and Intelligent Systems, SPIE, Albuquerque, NM, Vol. 1817, pp. 286–298.
11.
Rogers
C. A.
,
1993
, “
Intelligent Material Systems—The Dawn of a New Materials Age
,”
Journal of Intelligent Material Systems and Structures
, Vol.
4
, No.
1
, pp.
4
12
.
12.
Rossi, A., Liang, C., and Rogers, C. A., 1993, “Coupled Electric-Mechanical Analysis of a Piezoceramic Actuator Driven System—An Application to a Circular Ring,” Proceedings of the AIAA/ASME/ASCE/AHS/ASC 34st Structures, Structural Dynamics and Materials Conference, La Jolla, CA, April 19-22, pp. 3618–3624.
13.
Soedel, W., 1981, Vibrations of Shells and Plates, Marcel Dekker, Inc., New York, pp. 199-228, and pp. 248–260.
14.
Stein, S., Liang, C., and Rogers, C. A., 1993, “Power Consumption of Piezoelectric Actuators in Underwater Active Structural Acoustic Control,” Proceedings of the Second Conference on Recent Advances in Active Control of Sound and Vibration, Blacksburg, VA, April 28–30, 1993, pp. 240–251.
15.
Tzou, H. S., 1989, “Theoretical Development of a Layered Shell with Internal Distributed Controllers,” ASME Failure Prevention and Reliability, DE-Vol. 16, pp. 241–249.
16.
Wang, B. T., and Rogers, C. A., 1991, “Modeling of Finite-Length Spatially Distributed Induced Strain Actuators for Laminate Beams and Plates,” Proceedings of the AIAA/ASME/ASCE/AHS/ASC 32st Structures, Structural Dynamics and Materials Conference, Baltimore, MD, April 8-10, pp. 1511–1520.
17.
Zhou, S. W., Liang, C., and Rogers, C. A., 1993, “Impedance Modeling of Two-Dimensional Piezoelectric Actuators Bonded on a Cylinder,” Proceedings of the Adaptive Structures and Material Systems, ASME Winter Annual Meeting, New Orleans, LA, pp. 247–256.
18.
Zhou, S. W., Liang, C., and Rogers, C. A., 1994, “Dynamic Modeling of Piezoelectric Actuator-Driven Thin Plates,” Proceedings of Smart Structures and Materials, SPIE, Orlando, FL, February 13–18, 1994, in press.
This content is only available via PDF.
You do not currently have access to this content.