2.6 Modeling of Piezo-Fiber Composite Bonded Structures
21
constants, Li et al. [236], Trindade and Benjeddou [237] proposed homogenization
approaches for MFC patches.
2.6.3 Modeling of Piezo Composite Laminated Plates and
Shells
To investigate the structural response, the earlier work on simulation of piezo composite laminated plates and shells is mainly using commercial software, e.g. ANSYS
[238, 239], ABAQUS [240, 241], which was validated by the experimental results.
The numerical studies of snap-through of asymmetric bistable curved laminates with
MFC were performed by Bowen et al. [239] and Giddings et al. [242]. Using the
commercial software, Bilgen et al. [243] developed a linear distributed parameter
electro-mechanical model for dynamic analysis of MFC bonded cantilevered thin
beams. To study the influence of piezo-fiber orientation, Zhang et al. [244, 245]
developed a linear FE model of MFC embedded thin-walled structures based on the
Reissner-Mindlin hypothesis for both static and dynamic analysis with variation of
piezo fiber orientation angle.
Considering geometrically nonlinear phenomenon in the simulation, Azzouz and
Hall [246] proposed a nonlinear FE model with a von Kármán type nonlinearity based
on the Reissner-Mindlin hypothesis for dynamic analysis of a rotating MFC bonded
plates. Moreover, Zhang et al. [247] developed various geometrically nonlinear finite
element models based on the FOSD hypothesis using e.g. von Kármán type nonlinear
theory, moderate rotation nonlinear theory, fully geometrically nonlinear theory with
moderate rotations and large rotations nonlinear theory for static analysis of MFC
bonded plates and shells.
2.7 Vibration Control of Piezo Smart Structures
2.7.1 Conventional Control Strategies
Smart structures have a great potential in the field of vibration control. On one hand,
the design of smart structure has great impact on the efficiency of vibration control,
on the other hand, the design of control law are of equal importance. By literature
review, it revels that most studies were developed conventional control laws based
on linear FE models.
The most frequently used control law is negative velocity proportional feedback
control. A lot of publications have been implemented it into vibration control of
smart structures, using linear FE models based on various hypotheses, see [19–21,
30–32, 35, 41, 45, 54, 248–262]. Moreover, Moita et al. [41] studied optimization
of piezoelectric position for negative velocity proportional feedback control using
21
constants, Li et al. [236], Trindade and Benjeddou [237] proposed homogenization
approaches for MFC patches.
2.6.3 Modeling of Piezo Composite Laminated Plates and
Shells
To investigate the structural response, the earlier work on simulation of piezo composite laminated plates and shells is mainly using commercial software, e.g. ANSYS
[238, 239], ABAQUS [240, 241], which was validated by the experimental results.
The numerical studies of snap-through of asymmetric bistable curved laminates with
MFC were performed by Bowen et al. [239] and Giddings et al. [242]. Using the
commercial software, Bilgen et al. [243] developed a linear distributed parameter
electro-mechanical model for dynamic analysis of MFC bonded cantilevered thin
beams. To study the influence of piezo-fiber orientation, Zhang et al. [244, 245]
developed a linear FE model of MFC embedded thin-walled structures based on the
Reissner-Mindlin hypothesis for both static and dynamic analysis with variation of
piezo fiber orientation angle.
Considering geometrically nonlinear phenomenon in the simulation, Azzouz and
Hall [246] proposed a nonlinear FE model with a von Kármán type nonlinearity based
on the Reissner-Mindlin hypothesis for dynamic analysis of a rotating MFC bonded
plates. Moreover, Zhang et al. [247] developed various geometrically nonlinear finite
element models based on the FOSD hypothesis using e.g. von Kármán type nonlinear
theory, moderate rotation nonlinear theory, fully geometrically nonlinear theory with
moderate rotations and large rotations nonlinear theory for static analysis of MFC
bonded plates and shells.
2.7 Vibration Control of Piezo Smart Structures
2.7.1 Conventional Control Strategies
Smart structures have a great potential in the field of vibration control. On one hand,
the design of smart structure has great impact on the efficiency of vibration control,
on the other hand, the design of control law are of equal importance. By literature
review, it revels that most studies were developed conventional control laws based
on linear FE models.
The most frequently used control law is negative velocity proportional feedback
control. A lot of publications have been implemented it into vibration control of
smart structures, using linear FE models based on various hypotheses, see [19–21,
30–32, 35, 41, 45, 54, 248–262]. Moreover, Moita et al. [41] studied optimization
of piezoelectric position for negative velocity proportional feedback control using