The nonlinear response of initially imperfect composite plates with piezoelectric actuators is investigated. The nonlinearity is limited to the prebuckling regime, where higher order terms present in the strain energy expression can be neglected. The advantage of the electromechanical coupling is exploited in two ways. First, the in-plane piezoelectric stress stiffening effect is used to tailor a stress distribution that inherently increases the critical buckling loads of perfect composite plates by posing an optimization problem that efficiently handles eventual uncertainties involved in the application of mechanical loadings. Second, piezoelectric bending moments are applied in order to avoid or ameliorate the undesirable effects of initial imperfections. An actuation strategy, where the piezoelectric membrane forces and bending moments are decomposed via an appropriate selection of voltages applied to piezoelectric patches that are symmetrically bonded to the top and bottom surfaces of the plate, is proposed and shown to be effective.

1.
Crawley
,
E. F.
, and
de Luis
,
J.
, 1987, “
Use of Piezoelectric Actuators as Elements of Intelligent Structures
,”
AIAA J.
0001-1452,
25
(
10
), pp.
1373
1385
.
2.
Reddy
,
J. N.
, 1997,
Mechanics of Laminated Composite Plates: Theory and Analysis
,
CRC
,
Boca Raton, FL
.
3.
Varelis
,
D.
, and
Saravanos
,
D. A.
, 2004, “
Coupled Buckling and Postbuckling Analysis of Active Laminated Piezoelectric Composite Plates
,”
Int. J. Solids Struct.
0020-7683,
41
(
5–6
), pp.
1519
1538
.
4.
Rabinovitch
,
O.
, 2005, “
Geometrically Nonlinear Behavior of Piezoelectric Laminated Plates
,”
Smart Mater. Struct.
0964-1726,
14
(
4
), pp.
785
798
.
5.
Chandrashekhara
,
K.
, and
Bhatia
,
K.
, 1993, “
Active Buckling Control of Smart Composite Plates-Finite-Element Analysis
,”
Smart Mater. Struct.
0964-1726,
2
(
1
), pp.
31
39
.
6.
Meressi
,
T.
, and
Paden
,
B.
, 1993, “
Buckling Control of a Flexible Beam Using Piezoelectric Actuators
,”
J. Guid. Control Dyn.
0731-5090,
16
(
5
), pp.
977
980
.
7.
Franco Correia
,
V. M.
,
Mota Soares
,
C. M.
, and
Mota Soares
,
C. A.
, 2003, “
Buckling Optimization of Composite Laminated Adaptive Structures
,”
Compos. Struct.
0263-8223,
62
(
3–4
), pp.
315
321
.
8.
Carrera
,
E.
, 1997, “
An Improved Reissner–Mindlin-Type Model for the Electromechanical Analysis of Multilayered Plates Including Piezo-Layers
,”
J. Intell. Mater. Syst. Struct.
1045-389X,
8
(
3
), pp.
232
248
.
9.
Ballhause
,
D.
,
D’Ottavio
,
M.
,
Kröplin
,
B.
, and
Carrera
,
E.
, 2004, “
A Unified Formulation to Assess Multilayered Theories for Piezoelectric Plates
,”
Comput. Struct.
0045-7949,
83
(
15–16
), pp.
1217
1235
.
10.
Carrera
,
E.
, and
Boscolo
,
M.
, 2007, “
Classical and Mixed Finite Elements for Static and Dynamic Analysis of Piezoelectric Plates
,”
Int. J. Numer. Methods Eng.
0029-5981,
70
(
10
), pp.
1135
1181
.
11.
Carrera
,
E.
, and
Nali
,
P.
, 2009, “
Mixed Piezoelectric Plate Elements With Direct Evaluation of Transverse Electric Displacement
,”
Int. J. Numer. Methods Eng.
0029-5981,
80
(
4
), pp.
403
424
.
12.
Nye
,
N. Y.
, 1972,
Physical Properties of Crystals: Their Representation by Tensors and Matrices
,
Oxford University Press
,
London
.
13.
de Faria
,
A. R.
, 2003, “
The Impact of Finite-Stiffness Bonding on the Sensing Effectiveness of Piezoelectric Patches
,”
Smart Mater. Struct.
0964-1726,
12
(
4
), pp.
N5
N8
.
14.
de Faria
,
A. R.
, and
Hansen
,
J. S.
, 2001, “
On Buckling Optimization Under Uncertain Loading Combinations
,”
Struct. Multidiscip. Optim.
1615-147X,
21
(
4
), pp.
272
282
.
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