Fig. 6.36 Central point displacement of the simply supported plate,
reprinted from Ref. [23], copyright 2017, with permission from
ELSEVIER . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 132
Fig. 6.37 Clamped piezolaminated semicircular cylindrical shell . . . . . . . . 132
Fig. 6.38 Tip displacements of the semicircular shell with only
geometric nonlinearity: a hoop displacement, b radial
displacement, reprinted from Ref. [23], copyright 2017, with
permission from ELSEVIER. . . . . . . . . . . . . . . . . . . . . . . . . . . . 133
Fig. 6.39 Tip displacements of the semicircular shell with geometric and
material nonlinearities: a hoop displacement, b radial
displacement, reprinted from Ref. [23], copyright 2017, with
permission from ELSEVIER. . . . . . . . . . . . . . . . . . . . . . . . . . . . 134
Fig. 7.1
Schematic figure of the MFC bonded smart plate . . . . . . . . . . . . 138
Fig. 7.2
Central line deflection of the MFC-d33 bonded plate for
validation test, reprinted from Ref. [4], copyright 2015, with
permission from ELSEVIER. . . . . . . . . . . . . . . . . . . . . . . . . . . . 138
Fig. 7.3
Central line deflection of the aluminum plate bonded with
MFC-d31 patches, reprinted from Ref. [4], copyright 2015,
with permission from ELSEVIER. . . . . . . . . . . . . . . . . . . . . . . . 140
Fig. 7.4
Vertical deflections and twist of the aluminum plate with
MFC-d33 patches, reprinted from Ref. [4], copyright 2015,
with permission from ELSEVIER. . . . . . . . . . . . . . . . . . . . . . . . 141
Fig. 7.5
Surface shapes of the aluminum plate with MFC-d33 patches
having different fiber angles, reprinted from Ref. [4], copyright
2015, with permission from ELSEVIER . . . . . . . . . . . . . . . . . . . 142
Fig. 7.6
Line shapes of the aluminum plate with MFC-d33 patches
having different fiber angles, reprinted from Ref. [4], copyright
2015, with permission from ELSEVIER . . . . . . . . . . . . . . . . . . . 143
Fig. 7.7
Stress (" 11 , " 13 ) distribution of the aluminum plate with
MFC-d33 patches having different fiber angles, reprinted from
Ref. [4], copyright 2015, with permission from ELSEVIER . . . . 144
Fig. 7.8
Surface shapes of the composite plate with MFC-d33 patches
having different fiber angles, reprinted from Ref. [4], copyright
2015, with permission from ELSEVIER . . . . . . . . . . . . . . . . . . . 145
Fig. 7.9
Line shapes of the composite plate with MFC-d33 patches
having different fiber angles, reprinted from Ref. [4], copyright
2015, with permission from ELSEVIER . . . . . . . . . . . . . . . . . . . 146
Fig. 7.10 Cantilevered plate bonded with multiple MFC actuators,
reprinted from Ref. [5], copyright 2016, with permission from
ELSEVIER . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 147
Fig. 7.11 Cantilevered plate bonded with multiple MFC actuators,
reprinted from Ref. [5], copyright 2016, with permission from
ELSEVIER . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 147
xx
List of Figures
reprinted from Ref. [23], copyright 2017, with permission from
ELSEVIER . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 132
Fig. 6.37 Clamped piezolaminated semicircular cylindrical shell . . . . . . . . 132
Fig. 6.38 Tip displacements of the semicircular shell with only
geometric nonlinearity: a hoop displacement, b radial
displacement, reprinted from Ref. [23], copyright 2017, with
permission from ELSEVIER. . . . . . . . . . . . . . . . . . . . . . . . . . . . 133
Fig. 6.39 Tip displacements of the semicircular shell with geometric and
material nonlinearities: a hoop displacement, b radial
displacement, reprinted from Ref. [23], copyright 2017, with
permission from ELSEVIER. . . . . . . . . . . . . . . . . . . . . . . . . . . . 134
Fig. 7.1
Schematic figure of the MFC bonded smart plate . . . . . . . . . . . . 138
Fig. 7.2
Central line deflection of the MFC-d33 bonded plate for
validation test, reprinted from Ref. [4], copyright 2015, with
permission from ELSEVIER. . . . . . . . . . . . . . . . . . . . . . . . . . . . 138
Fig. 7.3
Central line deflection of the aluminum plate bonded with
MFC-d31 patches, reprinted from Ref. [4], copyright 2015,
with permission from ELSEVIER. . . . . . . . . . . . . . . . . . . . . . . . 140
Fig. 7.4
Vertical deflections and twist of the aluminum plate with
MFC-d33 patches, reprinted from Ref. [4], copyright 2015,
with permission from ELSEVIER. . . . . . . . . . . . . . . . . . . . . . . . 141
Fig. 7.5
Surface shapes of the aluminum plate with MFC-d33 patches
having different fiber angles, reprinted from Ref. [4], copyright
2015, with permission from ELSEVIER . . . . . . . . . . . . . . . . . . . 142
Fig. 7.6
Line shapes of the aluminum plate with MFC-d33 patches
having different fiber angles, reprinted from Ref. [4], copyright
2015, with permission from ELSEVIER . . . . . . . . . . . . . . . . . . . 143
Fig. 7.7
Stress (" 11 , " 13 ) distribution of the aluminum plate with
MFC-d33 patches having different fiber angles, reprinted from
Ref. [4], copyright 2015, with permission from ELSEVIER . . . . 144
Fig. 7.8
Surface shapes of the composite plate with MFC-d33 patches
having different fiber angles, reprinted from Ref. [4], copyright
2015, with permission from ELSEVIER . . . . . . . . . . . . . . . . . . . 145
Fig. 7.9
Line shapes of the composite plate with MFC-d33 patches
having different fiber angles, reprinted from Ref. [4], copyright
2015, with permission from ELSEVIER . . . . . . . . . . . . . . . . . . . 146
Fig. 7.10 Cantilevered plate bonded with multiple MFC actuators,
reprinted from Ref. [5], copyright 2016, with permission from
ELSEVIER . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 147
Fig. 7.11 Cantilevered plate bonded with multiple MFC actuators,
reprinted from Ref. [5], copyright 2016, with permission from
ELSEVIER . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 147
xx
List of Figures