126
6 Nonlinear Analysis of Piezoceramic Laminated Structures
(a)
0
1
2
3
4
5
6
7
8
x 10
−3
−0.005
0
0.005
0.01
0.015
0.02
0.025
0.03
Time (s)
Displacement (m)
LRT56 (SH851URI)
RVK5 (SH851URI)
Linear (SH851URI)
(b)
0
1
2
3
4
5
6
7
8
x 10
−3
−4000
−2000
0
2000
4000
6000
8000
10000
12000
14000
16000
Time (s)
Voltage (V)
LRT56 (SH851URI)
RVK5 (SH851URI)
Linear (SH851URI)
Fig. 6.29 Dynamic response of the fully clamped cylindrical shell under a step pressure of 6 ×
10 5 Pa: a mid-point displacement, b sensor output voltage, reprinted from Ref. [19], copyright
2013, with permission from IOP
By comparison of all the nonlinear dynamic vibrations, it observes that large
discrepancies exist between those obtained various nonlinear models. This means
that the semicircular shell is undergoing large displacements and rotations. Therefore,
LRT56 model predicts the most accurate dynamic response, rather than the simplified
nonlinear shell theories RVK5, MRT5 and LRT5.
6 Nonlinear Analysis of Piezoceramic Laminated Structures
(a)
0
1
2
3
4
5
6
7
8
x 10
−3
−0.005
0
0.005
0.01
0.015
0.02
0.025
0.03
Time (s)
Displacement (m)
LRT56 (SH851URI)
RVK5 (SH851URI)
Linear (SH851URI)
(b)
0
1
2
3
4
5
6
7
8
x 10
−3
−4000
−2000
0
2000
4000
6000
8000
10000
12000
14000
16000
Time (s)
Voltage (V)
LRT56 (SH851URI)
RVK5 (SH851URI)
Linear (SH851URI)
Fig. 6.29 Dynamic response of the fully clamped cylindrical shell under a step pressure of 6 ×
10 5 Pa: a mid-point displacement, b sensor output voltage, reprinted from Ref. [19], copyright
2013, with permission from IOP
By comparison of all the nonlinear dynamic vibrations, it observes that large
discrepancies exist between those obtained various nonlinear models. This means
that the semicircular shell is undergoing large displacements and rotations. Therefore,
LRT56 model predicts the most accurate dynamic response, rather than the simplified
nonlinear shell theories RVK5, MRT5 and LRT5.