An impedance-based system modeling technique has been developed to determine the output forces of multiple piezoelectric (PZT) patch actuators on an active structure to produce a known vibration response. In the analysis of the dynamic response of a structure driven by multiple PZT patches, the proposed model includes not only the dynamic interactions between the PZT patch and the host structure but also the impedance couplings among PZT patches. Therefore this approach can apply to a structure with multiple PZT actuators. Furthermore, the bending stiffness and the thickness of a PZT patch that are proved to be important as increases of excitation frequency are included in the proposed impedance model. Examples are given to demonstrate how to synthesize a known vibration response and how to suppress vibration response at an arbitrary location on structures using this technique.

Issue Section:
Technical Papers
Keywords:
piezoelectric actuators, dynamic response, bending, vibrations, vibration control, active noise control
Topics:
Actuators, Displacement, Piezoelectric actuators, Stiffness, Vibration, Dynamic response, Excitation
1.
Bailey
,
T.
, and
Hubbard
,
J. E.
, Jr.,
1985
, “
Distributed Piezoelectric-Polymer Active Vibration Control of a Cantilever Beam
,”
AIAA J.
,
8
, No.
5
, Sept.–Oct., pp.
605
–
611
.
2.
Crawley
,
E. F.
, and
deLuis
,
J.
,
1989
, “
Use of Piezoelectric Actuators as Elements of Intelligent Structures
,”
AIAA J.
,
25
, No.
10
, pp.
1373
–
1385
.
3.
Dimitriadis
,
E. K.
,
Fuller
,
C. R.
, and
Rogers
,
C. A.
,
1991
, “
Piezoelectric Actuators for Distributed Vibration Excitation of Thin Plates
,”
ASME J. Vibr. Acoust.
,
113
, pp.
100
–
107
.
4.
Lin, M. W., and Rogers, C. A., 1992, “Formulation of a Beam Structure with Induced Strain Actuators Based on an Approximated Linear Shear Stress Field,” Proceedings, 33rd SDM Conference, Dallas, Texas, April 13–15, pp. 896–904.
5.
Liang
,
C.
,
Sun
,
F. P.
, and
Rogers
,
C. A.
,
1994
, “
An Impedance Method for Dynamic Analysis of Active Material System
,”
ASME J. Vibr. Acoust.
,
116
, pp.
121
–
128
.
6.
Zhou
,
S. W.
,
Liang
,
C.
, and
Rogers
,
C. A.
,
1996
, “
An Impedance-Based System Modeling Approach for Induced Strain Actuator-Driven Structures
,”
ASME J. Vibr. Acoust.
,
118
, pp.
323
–
331
.
7.
Bishop, R. E. D., and Johnson, D. C., 1979, The Mechanics of Vibration, University Press, Cambridge, pp. 360.
8.
Sneddon, I. N., 1972, The Use of Integral Transformations, McGraw-Hill Inc., New York, pp. 484–504.
9.
Rao, S. S. 1995, Mechanical Vibration, 3rd edition, Addison-Wesley Publishing Company, Inc., New York, pp. 531–534.
10.
Keltie
,
R. F.
, and
Cheng
,
C. C.
,
1995
, “
Vibration Reduction of a Mass-loaded Beam
,”
J. Sound Vib.
,
187
, No.
2
, pp.
213
–
228
.
Copyright © 2001
 by ASME
You do not currently have access to this content.