118
6 Nonlinear Analysis of Piezoceramic Laminated Structures
(a)
0
1
2
3
4
5
6
7
x 10
−3
0
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
1.8
2
x 10
7
Tip displacement (m)
Load (Pa)
LRT56 (SH851URI)
LRT5 (SH851URI)
MRT5 (SH851URI)
RVK5 (SH851URI)
ANSYS (SHELL91)
Linear (SH851URI)
(b)
0
200
400
600
800
1000
0
0.5
1
1.5
2
2.5
3
3.5
4
x 10
5
Sensor voltage (V)
Load (Pa)
LRT56 (SH851URI)
LRT5 (SH851URI)
MRT5 (SH851URI)
RVK5 (SH851URI)
Linear (SH851URI)
Fig. 6.21 Static response of the fully clamped plate: a mid-point displacement, b sensor output
voltage, reprinted from Ref. [5], copyright 2014, with permission from ELSEVIER
the amplitudes of both mid-point displacement and sensor output voltage. The RVK5
and LRT56 theories predict the same dynamic response, which shows that due to the
clamped boundary conditions still only moderate rotations occur in the plate.
6.3.3 Fully Clamped Cylindrical Smart Shell
The first smart shell structure considered in this report is a fully clamped cylindrical
shell bonded with piezoelectric patch on the center, as shown in Fig. 6.25. The