6.4 Electroelastic Nonlinear Analysis of Smart Structures
129
Fig. 6.32 Dynamic response
of the PZT laminated
semicircular cylindrical shell
under a step tip force of
50 N: a hoop deflection, b
radial deflection, c sensor
output voltage of the inner
PZT layer, reprinted from
Ref. [6], copyright 2014,
with permission from
ELSEVIER
(a)
0
0.2
0.4
0.6
0.8
1
0
0.1
0.2
0.3
0.4
0.5
Time (s)
Hoop deflection (m)
LRT56 (SH851URI)
LRT5 (SH851URI)
MRT5 (SH851URI)
RVK5 (SH851URI)
Linear (SH851URI)
(b)
0
0.2
0.4
0.6
0.8
1
0
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0.16
Time (s)
Radial deflection (m)
LRT56 (SH851URI)
LRT5 (SH851URI)
MRT5 (SH851URI)
RVK5 (SH851URI)
Linear (SH851URI)
(c)
0
0.2
0.4
0.6
0.8
1
0
50
100
150
200
250
300
350
400
450
Time (s)
Inner layer voltage output (V)
LRT56 (SH851URI)
LRT5 (SH851URI)
MRT5 (SH851URI)
RVK5 (SH851URI)
Linear (SH851URI)
puted by models of LIN5WE and LIN5SE, with the load-displacement curves shown
in Fig. 6.34.
Only including the electroelastic materially nonlinear phenomenon, The results
of LIN5WE and LIN5SE models are compared with the experimental and linear
theoretical static data in Wang et al. [22], as well as those obtained by Abaqus. The
Abaqus results are obtained through the discretization of 2 × 10 S8R5 elements (8-