Isogeometric Analysis for Active Control of Piezoelectric Functionally Graded Plates in Thermal Environment

Abstract

An isogeometric analysis (IGA) method is proposed for investigating the active shape and vibration control of functionally graded plates (FGPs) with surface-bonded piezoelectric materials in a thermal environment. A simple first-order shear deformation theory (S-FSDT) with four variables is used to describe the displacement field of the plates. To ensure the investigation of smart piezoelectric structure in the thermal environment closer to the actual situation, a modified piezoelectric constitutive equation with consideration of the temperature effect of dielectric and piezoelectric strain coefficients is implemented to replace the traditional linear piezoelectric constitutive equation. Meanwhile, the neutral surface is adopted to avoid the stretching-bending coupling. The accuracy and effectiveness of the proposed S-FSDT-based IGA method are verified by comparing with several existing numerical examples. Then, the static bending and open-loop control of the plates under mechanical and thermal loads are further studied. Finally, the active control including static bending control and vibration control of piezoelectric functionally graded plates (PFGPs) is also investigated by using a displacement-velocity feedback control law.

A Two Variable Refined Plate Theory for Isogeometric Vibration Analysis of The Functionally Graded Piezoelectric Microplates with Porosities

“…( 26) into Eqs. ( 4), ( 8), (10) and (12), the strain, the rotation gradient, dilatation gradient, deviatoric stretch gradient tensors and electric fields can be rewritten as 26) into Eq. ( 23), the vector N w is reformed as…”

“…Based on the finite element method and Euler-Bernoulli beam theory, El Harti et al [9] used the analytical method to study the active vibration control of the FG beams with piezoelectric sensors and actuators. Liu et al [10] proposed the IGA and the simple FSDT with four variables to present the active shape and vibration control of the FG plates with piezoelectric layers in a thermal environment. Recently, Phuc et al [11] studied the free and forced vibration of functionally graded piezoelectric (FGP) plates in a thermal environment and resting on an elastic foundation according to the TSDT and FEM.…”

Nonlinear Oscillations of a Composite Stepped Piezoelectric Cantilever Plate with Aerodynamic Force and External Excitation

“…At present, a great number of valuable research results have been obtained by researchers who have performed research on piezoelectric composite laminates and piezoelectric functionally gradient plates from the perspectives of experimental analysis [27,28], static conditions [29,30], and dynamics [31], as well as on the control of piezoelectric beams, plates, and shell structures [32][33][34]. Similarly, reference [35] studied the nonlinear dynamic characteristics of composite laminated plates under different loads and boundary conditions, and reference [36] studied the static and dynamic stability of composite cylindrical shells.…”

Probabilistic reliability analysis for active vibration control of piezoelectric laminated composite plates using mesh-free finite volume method

“…(Ma et al, 2022; Momeni and Fallah, 2021; Qiao et al, 2022; Shivashankar and Gopalakrishnan, 2020). Numerous studies have thus far been carried out on various aspects of piezoelectrics (Alnuaimi et al, 2021; Berardengo et al, 2021; Dehnad et al, 2022; Li et al, 2021; Liu et al, 2021; Muthalif and Wahid, 2021; Sharma et al, 2022; Yang et al, 2022). At the present time, the commonly implemented piezoelectrics used in engineering are mostly ceramics and composites (Mokhtari et al, 2021).…”