A methodology to synthesize a predesignated acoustic response using a structure driven by multiple induced-strain actuators, e.g., piezoelectric (PZT) patches, is presented. The proposed approach of solving the inverse problem of structural acoustics, e.g., how to produce a known acoustic response from a given PZT-driven baffled plate, is accomplished using the impedance method. A dynamic model that assembles the PZT patch impedance, the host structure impedance, and the acoustic impedance is developed and then is utilized to synthesize a predesignated acoustic response. The proposed model includes the mass and stiffness of the actuator and thus provides a more accurate prediction when a structure is bonded with multiple actuators.
1.
Bailey
, T.
, and Hubbard
, J. E.
, Jr., 1985, “Distributed Piezoelectric-Polymer Active Vibration Control of a Cantilever Beam
,” AIAA J.
0001-1452, 6
(5
), pp. 605
–611
.2.
Crawley
, E. F.
, and deLuis
, J.
, 1989, “Use of Piezoelectric Actuators as Elements of Intelligent Structures
,” AIAA J.
0001-1452, 25
(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.
0739-3717, 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 of the 33rd Structural Dynamics and Materials (SDM) Conference
, 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.
0739-3717, 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.
0739-3717, 118
, pp. 323
–331
.7.
Sze
, K. Y.
, and Yao
, L. Q.
, 2000, “Modeling Smart Structures With Segmented Piezoelectric Sensors and Actuators
,” J. Sound Vib.
0022-460X, 235
, pp. 495
–520
.8.
Bishop
, R. E. D.
, and Johnson
, D. C.
, 1979, The Mechanics of Vibration
, Cambridge University Press
, New York.9.
Cheng
, C. C.
, and Wang
, P. W.
, 2001, “Applications of the Impedance Method on Multiple Piezoelectric Actuators Driven Structures
,” ASME J. Vibr. Acoust.
0739-3717, 123
(2
), pp. 262
–268
.10.
Cheng
, C. C.
, and Lin
, C. C.
, 2005, “An Impedance Approach for Vibration Response Synthesis Using Multiple PZT Actuators
,” Sens. Actuators, A
0924-4247, A118
, pp. 116
–126
.11.
Smits
, J. G.
, and Choi
, W. S.
, 2001, “The Constituent Equations of Piezoelectric Heterogeneous Bimorphs
,” IEEE Trans. Ultrason. Ferroelectr. Freq. Control
0885-3010, 38
(3
), pp. 256
–270
.12.
Thomas
, B.
, C’ecile
, C.
, Andre
, M.
, and Alain
, T.
, 2003, “Prediction of the Sound Reduction Index: A Modal Approach
,” Appl. Acoust.
0003-682X, 64
, pp. 793
–814
.13.
Li
, Z.
, Guigou
, C.
, Fuller
, C. R.
, and Burdisso
, R. A.
, 1997, “Design of Active Structural Acoustic Control Using a Nonvolumetric Eigenproperty Assignment Approach
,” J. Acoust. Soc. Am.
0001-4966, 101
(4
), pp. 2088
–2096
.14.
Snyder
, S. D.
, Tanaka
, N.
, and Kikushima
, Y.
, 1995, “The Use of Optimally Shaped Piezo-Electric Film Sensors in the Active Control of Free Field Structural Radiation, Part 2: Feedback Control
,” ASME J. Vibr. Acoust.
0739-3717, 118
(2
), pp. 112
–121
.15.
Junger
, M. C.
, and Feit
, D.
, 1986, Sound, Structures and Their Interaction
, MIT Press
, Cambridge, MA.16.
Lewis
, F. L.
, and Syrmos
, V. L.
, 1995, Optimal Control
, Wiley
, New York.17.
Wallace
, C. E.
, 1972, “Radiation Resistance of a Rectangular Panel
,” J. Acoust. Soc. Am.
0001-4966 51
(3
), pp. 946
–952
.18.
Leissa
, A.
, 1993, Vibrations of Plates
, Acoustical Society of America
.19.
Press
, W. H.
, Flannery
, B. P.
, Teukolsky
, S. A.
, and Vetterling
, W. T.
, 1988, Numerical Recipes: The Art of Scientific Computing
, Cambridge University Press
, New York.Copyright © 2008
by American Society of Mechanical Engineers
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