Dynamic Electromechanical Response and Self-Sensing of Functionally Graded Piezoelectric Cantilever Transducers

2008 ◽  
Vol 20 (1) ◽  
pp. 119-126 ◽  
Author(s):  
Yasuhide Shindo ◽  
Fumio Narita ◽  
Jun Nakagawa
Keyword(s):  
Functionally Graded ◽  
Piezoelectric Cantilever ◽  
Functionally Graded Piezoelectric

scholarly journals A Multi-Parameter Perturbation Solution for Functionally Graded Piezoelectric Cantilever Beams under Combined Loads

Materials ◽  
2018 ◽  
Vol 11 (7) ◽  
pp. 1222 ◽  
Author(s):  
Yongsheng Lian ◽  
Xiaoting He ◽  
Sijie Shi ◽  
Xue Li ◽  
Zhixin Yang ◽  
...  
Keyword(s):  
Cantilever Beam ◽  
Functionally Graded ◽  
Airy Stress Function ◽  
Parameter Perturbation ◽  
Combined Loads ◽  
Piezoelectric Cantilever ◽  
Basic Equations ◽  
Perturbation Parameters ◽  
Functionally Graded Piezoelectric ◽  
Parameter Perturbation Method

In this study, we use a multi-parameter perturbation method to solve the problem of a functionally graded piezoelectric cantilever beam under combined loads, in which three piezoelectric coefficients are selected as the perturbation parameters. First, we derive the two basic equations concerning the Airy stress function and electric potential function. By expanding the unknown Airy stress function and electric potential function with respect to three perturbation parameters, the two basic equations were decoupled, thus obtaining the corresponding multi-parameter perturbation solution under boundary conditions. From the solution obtained, we can see clearly how the piezoelectric effects influence the behavior of the functionally graded piezoelectric cantilever beam. Based on a numerical example, the variations of the elastic stresses and displacements as well as the electric displacements of the cantilever beam under different gradient exponents were shown. The results indicate that if the pure functionally graded cantilever beam without a piezoelectric effect is regarded as an unperturbed system, the functionally graded piezoelectric cantilever beam can be looked upon as a perturbed system, thus opening the possibilities for perturbation solving. Besides, the proposed multi-parameter perturbation method provides a new idea for solving similar nonlinear differential equations.

Exact Electroelastic Field of a Functionally Graded Piezoelectric Cantilever Beam Subjected to Pure Body Force Loading

2010 ◽  
Author(s):  
A. A. Emami ◽  
R. Hashemi ◽  
M. H. Kargarnovin ◽  
R. Naghdabadi
Keyword(s):  
Differential Equations ◽  
Body Force ◽  
Functionally Graded ◽  
The Body ◽  
Cantilever Beams ◽  
Exponential Distributions ◽  
Partial Differential ◽  
Numerical Studies ◽  
Piezoelectric Cantilever ◽  
Functionally Graded Piezoelectric

The electroelastic response of functionally graded piezoelectric cantilever beams which includes the effect of body force is presented in this paper. The material properties such as elastic compliance, piezoelectric and dielectric impermeability are assumed to be graded with different indices in the thickness direction according to exponential distributions. Systems of fourth order inhomogeneous partial differential equations (PDEs) which are satisfied by the stress and induction functions and involve the body force terms are derived. Spectral forms for electrical and mechanical variables in the x-axis are employed to convert the partial differential governing equations and the associated boundary conditions into sets of ordinary differential equations, and the resulting equations are solved in a closed form manner. Subsequently, in numerical studies, the effects of the material property graded indices are examined upon the electroelastic response of FGP cantilever beams under pure body force loadings.

scholarly journals One-Dimensional Theoretical Solution and Two-Dimensional Numerical Simulation for Functionally-Graded Piezoelectric Cantilever Beams with Different Properties in Tension and Compression

Polymers ◽  
2019 ◽  
Vol 11 (11) ◽  
pp. 1728 ◽  
Author(s):  
Xiao-Ting ◽  
Zhi-Xin ◽  
Hong-Xia ◽  
Jun-Yi
Keyword(s):  
Numerical Simulation ◽  
Cantilever Beam ◽  
Functionally Graded ◽  
Theoretical Solution ◽  
Two Dimensional ◽  
One Dimensional ◽  
Analysis And Design ◽  
Piezoelectric Cantilever ◽  
Tension And Compression ◽  
Functionally Graded Piezoelectric

The existing studies indicate polymers will present obviously different properties in tension and compression (bimodular effect) which is generally ignored because of the complexity of the analysis. In this study, a functionally graded piezoelectric cantilever beam with bimodular effect was investigated via analytical and numerical methods, respectively, in which a one-dimensional theoretical solution was derived by neglecting some unimportant factors and a two-dimensional numerical simulation was performed based on the model of tension-compression subarea. A full comparison was made to show the rationality of one-dimensional theoretical solution and two-dimensional numerical simulation. The result indicates that the layered model of tension-compression subarea also makes it possible to use numerical technique to simulate the problem of functionally graded piezoelectric cantilever beam with bimodular effect. Besides, the modulus of elasticity E* and the bending stiffness D* proposed in the one-dimensional problem may succinctly describe the piezoelectric effect on the classical mechanical problem without electromechanical coupling, which shows the advantages of one-dimensional solution in engineering applications, especially in the analysis and design of energy harvesting/sensing/actuating devices made of piezoelectric polymers whose bimodular effect is relatively obvious.

THERMAL EFFECT ON THE BENDING BEHAVIOR OF CURVED FUNCTIONALLY GRADED PIEZOELECTRIC ACTUATORS

2010 ◽  
Vol 02 (04) ◽  
pp. 787-805 ◽  
Author(s):  
MOSTAFA ZAMAN ◽  
ZHI YAN ◽  
LIYING JIANG
Keyword(s):  
Heat Conduction ◽  
Piezoelectric Actuators ◽  
Functionally Graded ◽  
Electric Load ◽  
Design And Optimization ◽  
Piezoelectric Cantilever ◽  
Linear Piezoelectricity ◽  
Bending Behavior ◽  
Functionally Graded Piezoelectric ◽  
Special Case

This paper provides a study of the bending behavior of a circularly curved functionally graded piezoelectric cantilever actuator under an applied electric load and heat conduction. As a special case, the curved piezoelectric actuator is assumed to have graded property for the piezoelectric parameter g31 only in the thickness direction, which is expanded by Taylor series. Based on the theory of linear piezoelectricity, the analytical formulations are developed by introducing the Airy stress function. Numerical simulations are made to show the effects of material gradient and heat conduction on the bending behavior of the actuators. It is found that the electroelastic field of the curved actuator is significantly influenced by the thermal load. The results will be very helpful for the design and optimization of curved functionally graded piezoelectric actuators when these devices experience heat transfer.

Modelling of functionally graded piezoelectric ultrasonic transducers

2007 ◽  
Author(s):  
Wilfredo M. Rubio ◽  
Flavio Buiochi ◽  
Julio C. Adamowski ◽  
Emilio C. N. Silva
Keyword(s):  
Functionally Graded ◽  
Ultrasonic Transducers ◽  
Functionally Graded Piezoelectric
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