The energy harvesting performance of a piezoelectric stack actuator under a shock event is theoretically and experimentally investigated. The first method is derived from the single degree of freedom constitutive equations, and then a correction factor is applied onto the resulting electromechanically coupled equations of motion. The second approach is deriving the coupled equations of motion with Hamilton's principle and the constitutive equations, and then formulating it with the finite element method. Two experimental cases matched well with the model predictions where the percent errors were 3.90% and 3.26% for the SDOF analysis and 1.52% and 1.42% for the FEM.

References

References
1.
Anton
,
S. R.
, and
Sodano
,
H. A.
,
2007
, “
A Review of Power Harvesting Using Piezoelectric Materials (2003–2006)
,”
Smart Mater. Struct.
,
16
(
3
), pp.
R1
R21
.10.1088/0964-1726/16/3/R01
2.
Beeby
,
S. P.
,
Tudor
,
M. J.
, and
White
,
N. M.
,
2006
, “
Energy Harvesting Vibration Sources for Microsystems Applications
,”
Meas. Sci. Technol.
,
17
(
12
), pp.
175
195
.10.1088/0957-0233/17/12/R01
3.
Liang
,
J. R.
, and
Liao
,
W. H.
,
2009
, “
Piezoelectric Energy Harvesting and Dissipation on Structural Damping
,”
J. Intell. Mater. Syst. Struct.
,
20
, pp.
515
527
.10.1177/1045389X08098194
4.
Quinn
,
D. D.
,
Triplett
,
A. L.
,
Bergman
,
L. A.
, and
Vakakis
,
A. F.
,
2011
, “
Comparing Linear and Essentially Nonlinear Vibration-Based Energy Harvesting
,”
ASME J. Vib. Acoust.
,
133
(
1
), p.
011001
.10.1115/1.4002782
5.
Sodano
,
H. A.
,
Inman
,
D. J.
, and
Park
,
G.
,
2004
, “
A Review of Power Harvesting From Vibration Using Piezoelectric Materials
,”
Shock and Vibration Digest
,
36
(
3
), pp.
197
205
.10.1177/0583102404043275
6.
Wang
,
Y.
, and
Inman
,
D. J.
,
2013
, “
Simultaneous Energy Harvesting and Gust Alleviation for a Multifunctional Wing Spar Using Reduced Energy Control Via Piezoceramics
,”
J. Composite Mater.
,
47
(
1
), pp.
125
146
.10.1177/0021998312448677
7.
Wilhelm
,
J.
, and
Rajamani
,
R.
,
2009
, “
Methods for Multimodal Vibration Suppression and Energy Harvesting Using Piezoelectric Actuators
,”
ASME J. Vib. Acoust.
,
131
(
1
), p.
011001
.10.1115/1.2980378
8.
Goldarb
,
M.
, and
Jones
,
L. D.
,
1999
, “
On the Efficiency of Electric Power Generation With Piezoelectric Ceramic
,”
ASME J. Dyn. Syst. Meas. Control
,
121
(
3
), pp.
566
571
.10.1115/1.2802517
9.
Stöbener
,
U.
, and
Gaul
,
L.
,
2002
,
Piezoelectric Stack Actuator: FE-Modeling and Application for Vibration Isolation. Responsive Systems for Active Vibration Control. A. Preumont
, Vol.
85
,
Springer
,
The Netherlands
, pp.
253
265
.
10.
Platt
,
S. R.
,
Farritor
,
S.
, and
Haider
,
H.
,
2005
, “
On Low-Frequency Electric Power Generation With PZT Ceramics
,”
IEEE/ASME Trans. Mech.
,
10
(
2
), pp.
240
252
.10.1109/TMECH.2005.844704
11.
Feenstra
,
J.
,
Granstrom
,
J.
, and
Sodano
,
H.
,
2008
, “
Energy Harvesting Through a Backpack Employing a Mechanically Amplified Piezoelectric Stack
,”
Mech. Syst. Signal Proc.
,
22
(
3
), pp.
721
734
.10.1016/j.ymssp.2007.09.015
12.
Ly
,
R.
,
Giraud-Audine
,
C.
,
Bigot
,
R.
, and
Abba
,
G.
,
2009
, “
Longitudinal Vibrations Modeling of a Piezoelectric Actuator Used in Forming Process
,”
IEEE International Conference on Mechatronics
(
ICM 2009
), Malaga, Spain, April 14–17.10.1109/ICMECH.2009.4957179
13.
Xu
,
T. B.
,
Siochi
,
E. J.
,
Kang
,
J. H.
,
Zuo
,
L.
,
Zhou
,
W.
,
Tang
,
X.
, and
Jiang
,
X.
,
2011
, “
A Piezoelectric PZT Ceramic Multilayer Stack for Energy Harvesting Under Dynamic Forces
,” ASME International Design Engineering Technical Conferences & Computers and Information in Engineering Conference (IDETC/CIE 2011), Washington, DC, August 28–31,
ASME
Paper No. DETC2011-4772010.1115/DETC2011-47720.
14.
duToit
,
N. E.
,
Wardle
,
B. L.
, and
Kim
,
S.
,
2005
, “
Design Considerations for MEMS-Scale Piezoelectric Mechanical Vibration Energy Harvesters
,” Symposium on Ferroelectricity and Piezoelectricity, IMRC 2004, Cancun, Mexico, August 22–26.
15.
Erturk
,
A.
, and
Inman
,
D. J.
,
2008
, “
On Mechanical Modeling of Cantilevered Piezoelectric Vibration Energy Harvesters
,”
J. Intell. Mater. Syst. Struct.
,
19
(
11
), pp.
1311
1325
.10.1177/1045389X07085639
16.
Allik
,
H.
, and
Hughes
,
T. J. R.
,
1970
, “
Finite Element Method for Piezoelectric Vibration
,”
Int. J. Numer. Methods Eng.
,
2
(
2
), pp.
151
157
.10.1002/nme.1620020202
17.
Piefort
,
V.
, and
Preumont
,
A.
,
2000
, “
Modeling of Smart Piezoelectric Shell Structures With Finite Elements
,”
Proceedings of the 25th International Conference on Noise and Vibration Engineering (ISMA 25)
, Leuven, Belgium, September 13–15.
18.
IEEE Ultrasonics, Ferroelectrics, and Frequency Control Society,
1988
, “
IEEE Standard on Piezoelectricity
,”
ANSI/IEEE
Standard 176–198710.1109/IEEESTD.1988.79638.
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