output voltage, reprinted from Ref. [6], copyright 2014, with
permission from ELSEVIER. . . . . . . . . . . . . . . . . . . . . . . . . . . . 120
Fig. 6.24 Dynamic response of the fully clamped plate under a step
pressure of 2 Â 10
5 Pa: a mid-point displacement, b sensor
output voltage, reprinted from Ref. [6], copyright 2014, with
permission from ELSEVIER. . . . . . . . . . . . . . . . . . . . . . . . . . . . 121
Fig. 6.25 Fully clamped cylindrical shell with one piezoelectric patch
centrally bonded . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 121
Fig. 6.26 Static response of the fully clamped smart cylindrical shell:
a mid-point displacement, b sensor output voltage, reprinted
from Ref. [5], copyright 2014, with permission from
ELSEVIER . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 123
Fig. 6.27 Rotations of the cylindrical shell under a pressure of 2 Â 10
7
Pa: a rotation u 1 , b rotation u 2 , reprinted from Ref. [5],
copyright 2014, with permission from ELSEVIER . . . . . . . . . . . 124
Fig. 6.28 Dynamic response of the fully clamped cylindrical shell under
a step pressure of 6 Â 10
4 Pa: a mid-point displacement,
b sensor output voltage, reprinted from Ref. [19], copyright
2013, with permission from IOP. . . . . . . . . . . . . . . . . . . . . . . . . 125
Fig. 6.29 Dynamic response of the fully clamped cylindrical shell under
a step pressure of 6 Â 10
5 Pa: a mid-point displacement,
b sensor output voltage, reprinted from Ref. [19], copyright
2013, with permission from IOP. . . . . . . . . . . . . . . . . . . . . . . . . 126
Fig. 6.30 PZT laminated semicircular cylindrical shell. . . . . . . . . . . . . . . . 127
Fig. 6.31 Static response of the PZT laminated semicircular cylindrical
shell under a concentrated force in the hoop direction: 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. . . . . . . . . . . . . . . . . . . . . . . . . . . . 128
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. . . . . . . . . . . . . . . . . . . . . . . . . . . . 129
Fig. 6.33 Cantilevered bimorph beam . . . . . . . . . . . . . . . . . . . . . . . . . . . . 130
Fig. 6.34 Tip displacement versus electric field for the cantilevered
bimorph beam, reprinted from Ref. [23], copyright 2017, with
permission from ELSEVIER. . . . . . . . . . . . . . . . . . . . . . . . . . . . 131
Fig. 6.35 Simply supported piezoelectric plate . . . . . . . . . . . . . . . . . . . . . . 131
List of Figures
xix
permission from ELSEVIER. . . . . . . . . . . . . . . . . . . . . . . . . . . . 120
Fig. 6.24 Dynamic response of the fully clamped plate under a step
pressure of 2 Â 10
5 Pa: a mid-point displacement, b sensor
output voltage, reprinted from Ref. [6], copyright 2014, with
permission from ELSEVIER. . . . . . . . . . . . . . . . . . . . . . . . . . . . 121
Fig. 6.25 Fully clamped cylindrical shell with one piezoelectric patch
centrally bonded . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 121
Fig. 6.26 Static response of the fully clamped smart cylindrical shell:
a mid-point displacement, b sensor output voltage, reprinted
from Ref. [5], copyright 2014, with permission from
ELSEVIER . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 123
Fig. 6.27 Rotations of the cylindrical shell under a pressure of 2 Â 10
7
Pa: a rotation u 1 , b rotation u 2 , reprinted from Ref. [5],
copyright 2014, with permission from ELSEVIER . . . . . . . . . . . 124
Fig. 6.28 Dynamic response of the fully clamped cylindrical shell under
a step pressure of 6 Â 10
4 Pa: a mid-point displacement,
b sensor output voltage, reprinted from Ref. [19], copyright
2013, with permission from IOP. . . . . . . . . . . . . . . . . . . . . . . . . 125
Fig. 6.29 Dynamic response of the fully clamped cylindrical shell under
a step pressure of 6 Â 10
5 Pa: a mid-point displacement,
b sensor output voltage, reprinted from Ref. [19], copyright
2013, with permission from IOP. . . . . . . . . . . . . . . . . . . . . . . . . 126
Fig. 6.30 PZT laminated semicircular cylindrical shell. . . . . . . . . . . . . . . . 127
Fig. 6.31 Static response of the PZT laminated semicircular cylindrical
shell under a concentrated force in the hoop direction: 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. . . . . . . . . . . . . . . . . . . . . . . . . . . . 128
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. . . . . . . . . . . . . . . . . . . . . . . . . . . . 129
Fig. 6.33 Cantilevered bimorph beam . . . . . . . . . . . . . . . . . . . . . . . . . . . . 130
Fig. 6.34 Tip displacement versus electric field for the cantilevered
bimorph beam, reprinted from Ref. [23], copyright 2017, with
permission from ELSEVIER. . . . . . . . . . . . . . . . . . . . . . . . . . . . 131
Fig. 6.35 Simply supported piezoelectric plate . . . . . . . . . . . . . . . . . . . . . . 131
List of Figures
xix