Three-dimensional analysis of functionally graded piezoelectric plate with arbitrarily distributed material properties

2014 ◽  
Vol 29 (4) ◽  
pp. 712-720 ◽  
Author(s):  
Wuxiang Liu ◽  
Shaokun Ma ◽  
Hao Wu
Keyword(s):  
Dimensional Analysis ◽  
Material Properties ◽  
Piezoelectric Plate ◽  
Three Dimensional ◽  
Functionally Graded ◽  
Functionally Graded Piezoelectric

An analytical approach to three-dimensional coupled thermoelectroelastic analysis of functionally graded piezoelectric plates

2016 ◽  
Vol 28 (4) ◽  
pp. 435-450 ◽  
Author(s):  
Gennady M Kulikov ◽  
Svetlana V Plotnikova
Keyword(s):  
Lagrange Interpolation ◽  
Thermal Loading ◽  
Piezoelectric Plate ◽  
Three Dimensional ◽  
Middle Surface ◽  
Functionally Graded ◽  
Laminated Plates ◽  
Lagrange Polynomials ◽  
Electric Potentials ◽  
Functionally Graded Piezoelectric

This article deals with the sampling surfaces method developed recently by the authors and its implementation for the three-dimensional coupled steady-state thermoelectroelastic analysis of functionally graded piezoelectric laminated plates subjected to thermal loading. The sampling surfaces formulation is based on choosing inside the nth layer [Formula: see text] not equally spaced sampling surfaces parallel to the middle surface of the plate in order to introduce temperatures, electric potentials, and displacements of these surfaces as basic plate variables. Such choice of unknowns with the consequent use of Lagrange polynomials of degree [Formula: see text] in the thickness direction for each layer permits the presentation of the proposed functionally graded piezoelectric plate formulation in a very compact form. The sampling surfaces are located inside each layer at Chebyshev polynomial nodes that allow one to minimize uniformly the error due to the Lagrange interpolation. As a result, the sampling surfaces method can be applied efficiently to analytical solutions for functionally graded piezoelectric laminated plates, which asymptotically approach the three-dimensional exact solutions of thermoelectroelasticity as [Formula: see text].

Analysis of Elasticity Solution of Bi-Direction Functionally Graded Piezoelectric Beam Subject to Voltage

2012 ◽  
Vol 166-169 ◽  
pp. 824-827 ◽  
Author(s):  
Y Z Yang
Keyword(s):  
Hamiltonian System ◽  
Exact Solutions ◽  
Material Properties ◽  
Functionally Graded ◽  
Symplectic Method ◽  
Elasticity Solution ◽  
Numerical Examples ◽  
Piezoelectric Beam ◽  
Functionally Graded Piezoelectric

This paper presents symplectic method for the derivation of exact solutions of functionally graded piezoelectric beam with the material properties varying exponentially both along the axial and transverse coordinates. In the approach, the related equations and formulas are developed in terms of dual equations, which can be solved by variables separation and symplectic expansion in Hamiltonian system. To verify advantages of the method, numerical examples of bi-directional functionally piezoelectric beam are discussed.

Modified strain gradient theory for nonlinear vibration analysis of functionally graded piezoelectric doubly curved microshells

2021 ◽  
pp. 095440622110458
Author(s):  
Vahid Movahedfar ◽  
Mohammad M Kheirikhah ◽  
Younes Mohammadi ◽  
Farzad Ebrahimi
Keyword(s):  
Nonlinear Vibration ◽  
Material Properties ◽  
Vibration Analysis ◽  
Functionally Graded ◽  
Strain Gradient Theory ◽  
Gradient Theory ◽  
Modified Strain Gradient Theory ◽  
Scale Parameters ◽  
Functionally Graded Piezoelectric ◽  
Doubly Curved

Based on modified strain gradient theory, nonlinear vibration analysis of a functionally graded piezoelectric doubly curved microshell in thermal environment has been performed in this research. Three scale parameters have been included in the modeling of thin doubly curved microshell in order to capture micro-size effects. Graded material properties between the top and bottom surfaces of functionally graded piezoelectric doubly curved microshell have been considered via incorporating power-law model. It is also assumed that the microshell is exposed to a temperature field of uniform type and the material properties are temperature-dependent. By analytically solving the governing equations based on the harmonic balance method, the closed form of nonlinear vibration frequency has been achieved. Obtained results indicate the relevance of calculated frequencies to three scale parameters, material gradation, electrical voltage, curvature radius, and temperature changes.

scholarly journals The Complex Rayleigh Waves in a Functionally Graded Piezoelectric Half-Space: An Improvement of the Laguerre Polynomial Approach

Materials ◽  
2020 ◽  
Vol 13 (10) ◽  
pp. 2320 ◽  
Author(s):  
Ke Li ◽  
Shuangxi Jing ◽  
Jiangong Yu ◽  
Xiaoming Zhang ◽  
Bo Zhang
Keyword(s):  
Phase Velocity ◽  
Half Space ◽  
Rayleigh Waves ◽  
Three Dimensional ◽  
Wave Mode ◽  
Functionally Graded ◽  
Function Technique ◽  
Complex Wave ◽  
Acoustic Wave Devices ◽  
Functionally Graded Piezoelectric

The research on the propagation of surface waves has received considerable attention in order to improve the efficiency and natural life of the surface acoustic wave devices, but the investigation on complex Rayleigh waves in functionally graded piezoelectric material (FGPM) is quite limited. In this paper, an improved Laguerre orthogonal function technique is presented to solve the problem of the complex Rayleigh waves in an FGPM half-space, which can obtain not only the solution of purely real values but also that of purely imaginary and complex values. The three-dimensional dispersion curves are generated in complex space to explore the influence of the gradient coefficients. The displacement amplitude distributions are plotted to investigate the conversion process from complex wave mode to propagating wave mode. Finally, the curves of phase velocity to the ratio of wave loss decrements are illustrated, which offers extra convenience for finding the high phase velocity points where the complex wave loss is near zero.

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