Study on Electromechanical Behavior of Functionally Graded Piezoelectric Composite Beams

2020 ◽  
Vol 36 (6) ◽  
pp. 841-848
Author(s):  
Xiao Ma ◽  
Shuai Wang ◽  
Bo Zhou ◽  
Shifeng Xue
Keyword(s):  
Governing Equation ◽  
Electromechanical Coupling ◽  
Piezoelectric Actuators ◽  
Axial Direction ◽  
Composite Beams ◽  
Functionally Graded ◽  
Piezoelectric Composite ◽  
Electrical Load ◽  
Electromechanical Behavior ◽  
Functionally Graded Piezoelectric

ABSTRACTThis paper investigates the electromechanical behavior of functionally graded piezoelectric composite beams containing axially functionally graded (AFG) beam and piezoelectric actuators subjected to electrical load. The mechanical properties of the AFG beam are assumed to be graded along the axial direction. Employing the electromechanical coupling theory and load simulation method, the expression for the simulation load of the piezoelectric actuators is obtained. Based on Euler-Bernoulli beam theory and the obtained simulation load, the differential governing equation of the piezoelectric composite beams subjected to electrical load is derived. The integration-by-parts approach is utilized to solve the differential governing equation, and the expression for the deflection of the piezoelectric composite beams is obtained. The accuracy of the proposed method is validated by the finite element method. The bending response of the functionally graded piezoelectric composite beams is investigated through the proposed method. In the numerical examples, the effects of electrical load, actuator thickness, AFG beam thickness and AFG beam length on the electromechanical behavior of the functionally graded piezoelectric composite beams are studied.

Electro-elastic analysis of functionally graded piezoelectric variable thickness cylindrical shells using a first-order electric potential theory and perturbation technique

2020 ◽  
Vol 31 (17) ◽  
pp. 2044-2068
Author(s):  
Mohammad Parhizkar Yaghoobi ◽  
Mehdi Ghannad
Keyword(s):  
Potential Theory ◽  
Electric Potential ◽  
Perturbation Technique ◽  
Functionally Graded ◽  
Homogeneous Distribution ◽  
Matched Asymptotic Expansion ◽  
First Order ◽  
Electromechanical Behavior ◽  
Present Solution ◽  
Functionally Graded Piezoelectric

In this research, an analytical solution is presented for the functionally graded piezoelectric cylindrical variable wall thickness that is subjected to mechanical and electrical loading. The non-homogeneous distribution of materials is considered as a power function. The first-order electric potential theory, first-order shear deformation theory, and the energy method are used for extracting the system of governing equations. The solution is accomplished using the matched asymptotic expansion method of the perturbation technique. The effects of non-homogeneous properties on the electromechanical are discussed. Since the intensity of variations in the distribution of properties in functionally graded piezoelectric cylinders can be changed using non-homogeneity constant, the electromechanical behavior of the cylinder can be changed by non-homogeneity constant. By reducing the electric or displacement field in functionally graded piezoelectric cylinders, de-polarization or loss of piezoelectric properties may be averted. Results indicate that non-homogeneity constant has a significant effect on the electromechanical behavior. However, in some cases, the effects of non-homogeneity constant may be neglected. Comparing these results with those predicted by the plane elasticity theory and finite element method shows good agreement. In fact, the present solution can be considered as an objective function to optimize the properties and behavior.

scholarly journals Functionally Graded Piezoelectric Medium Exposed to a Movable Heat Flow Based on a Heat Equation with a Memory-Dependent Derivative

Materials ◽  
2020 ◽  
Vol 13 (18) ◽  
pp. 3953 ◽  
Author(s):  
Ahmed E. Abouelregal ◽  
Hijaz Ahmad ◽  
Shao-Wen Yao
Keyword(s):  
Axial Direction ◽  
Functionally Graded ◽  
Piezoelectric Medium ◽  
Piezoelectric Response ◽  
Modified Model ◽  
The Laplace Transform ◽  
Graded Material ◽  
Limited Length ◽  
Functionally Graded Piezoelectric ◽  
Generalized Heat Conduction

The current work deals with the study of a thermo-piezoelectric modified model in the context of generalized heat conduction with a memory-dependent derivative. The investigations of the limited-length piezoelectric functionally graded (FGPM) rod have been considered based on the presented model. It is assumed that the specific heat and density are constant for simplicity while the other physical properties of the FGPM rod are assumed to vary exponentially through the length. The FGPM rod is subject to a moving heat source along the axial direction and is fixed to zero voltage at both ends. Using the Laplace transform, the governing partial differential equations have been converted to the space-domain, and then solved analytically to obtain the distributions of the field quantities. Numerical computations are shown graphically to verify the effect of memory presence, graded material properties, time-delay, Kernel function, and the thermo-piezoelectric response on the physical fields.

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