Guided wave characteristics in functionally graded piezoelectric rings with rectangular cross-sections

2014 ◽  
Vol 226 (3) ◽  
pp. 597-609 ◽  
Author(s):  
J. G. Yu ◽  
Ch. Zhang ◽  
J. E. Lefebvre
Keyword(s):  
Cross Sections ◽  
Guided Wave ◽  
Functionally Graded ◽  
Wave Characteristics ◽  
Functionally Graded Piezoelectric

Guided wave propagation in functionally graded cylindrical structures with sector cross-sections

2017 ◽  
Vol 24 (2) ◽  
pp. 434-447 ◽  
Author(s):  
Zhang Bo ◽  
Yu Jiangong ◽  
Jean-Etienne Lefebvre ◽  
Xu Weijiang ◽  
Zhang Xiaoming ◽  
...  
Keyword(s):  
Cross Sections ◽  
Guided Waves ◽  
Guided Wave ◽  
Functionally Graded ◽  
Destructive Testing ◽  
Cylindrical Structures ◽  
Angular Measure ◽  
Wave Characteristics ◽  
Ultrasonic Guided Wave ◽  
Phase Velocity Dispersion

The differential equations governing guided waves in functionally graded cylindrical structures with sector cross-sections are solved by introducing the double orthogonal polynomial series method into the cylindrical coordinate system, and the wave characteristics are subsequently investigated. The validity of the present method is confirmed by way of the comparison with available references, and the convergence is discussed. The corresponding phase velocity dispersion curves, displacement distributions and Poynting vectors are illustrated. The influences of the variation in the radius to thickness ratio, angular measure and gradient index on the guided wave characteristics are discussed, which can be used as significant guidance on ultrasonic guided wave non-destructive testing for functionally graded cylindrical structures with sector cross-sections.

Axial guided wave characteristics in functionally graded one-dimensional hexagonal piezoelectric quasi-crystal cylinders

2021 ◽  
pp. 108128652110134
Author(s):  
B. Zhang ◽  
X.H. Wang ◽  
L. Elmaimouni ◽  
J.G. Yu ◽  
X.M. Zhang
Keyword(s):  
Coupling Effect ◽  
Energy Conversion Efficiency ◽  
Guided Wave ◽  
Functionally Graded ◽  
Phonon Modes ◽  
One Dimensional ◽  
Longitudinal Modes ◽  
Wave Characteristics ◽  
Piezoelectric Effects ◽  
Hollow Cylinders

In one-dimensional hexagonal piezoelectric quasi-crystals, there exist the phonon–phason, electro–phonon, and electro–phason couplings. Therefore, the phonon–phason coupling and piezoelectric effects on axial guided wave characteristics in one-dimensional hexagonal functionally graded piezoelectric quasi-crystal (FGPQC) cylinders are investigated by utilizing the Legendre polynomial series method. The dispersion curves and cut-off frequencies are illustrated. Wave characteristics in three hollow cylinders with different quasi-periodic directions are comparatively studied. Some new wave phenomena are revealed: the phonon–phason coupling and piezoelectric effects on the longitudinal and torsional phonon modes ( N = 0) vary as the quasi-periodic direction changes; the phonon–phason coupling effect on flexural–torsional modes in the r-, z-FGPQC hollow cylinders, and on flexural–longitudinal modes in ϑ-FGPQC hollow cylinders increases as N increases. The corresponding results obtained in this work lay the theoretical foundation for the design and manufacture of piezoelectric transducers with high resolution and energy-conversion efficiency.

scholarly journals Analysis of wave propagation in cylinders and rods made of functionally graded piezoelectric material

2019 ◽  
Author(s):  
Andrey Blinov
Keyword(s):  
Piezoelectric Material ◽  
Phase Speed ◽  
Guided Wave ◽  
Functionally Graded ◽  
Governing Equations ◽  
Functionally Graded Piezoelectric Material ◽  
Design And Optimization ◽  
Points Of View ◽  
Functionally Graded Piezoelectric ◽  
Piezoelectric Constants

In this paper we study from both theoretical and numerical points of view the problem of design and optimization of functionally graded piezoelectric material (FGPM) transducers. The governing equations for FGPM are solved using numerical scheme based on the polynomial approach. The lowest frequencies for circular and rectangular rings with different radius-to-thickness ratios are calculated to study the guided wave characteristics. It is assumed that elastic stiffnesses,piezoelectric constants and dielectric permitivities of FGPM vary in an arbitrary way inside a structure. The fundamental mode starts propagating at the phase speed that is determined numerically. Finally, two-dimensional numerical simulations are performed for various parameters to control the accuracy of the solution.

scholarly journals Computation of Propagating and Non-Propagating Lamb-Like Wave in a Functionally Graded Piezoelectric Spherical Curved Plate by an Orthogonal Function Technique

Materials ◽  
2018 ◽  
Vol 11 (12) ◽  
pp. 2363 ◽  
Author(s):  
Xiaoming Zhang ◽  
Shunli Liang ◽  
Xiaoming Han ◽  
Zhi Li
Keyword(s):  
Dispersion Equation ◽  
Acoustic Waves ◽  
Guided Wave ◽  
Functionally Graded ◽  
Wave Number ◽  
Function Technique ◽  
Orthogonal Function ◽  
Propagating Waves ◽  
Complex Wave ◽  
Functionally Graded Piezoelectric

Non-propagating waves have great potential for crack evaluation, but it is difficult to obtain the complex solutions of the transcendental dispersion equation corresponding to the non-propagating wave. This paper presents an analytical approach based on the orthogonal function technique to investigate non-propagating Lamb-like waves in a functionally graded piezoelectric spherical curved plate. The presented approach can transform the set of partial differential equations for the acoustic waves into an eigenvalue problem that can give the generally complex wave numbers and the field profiles. A comparison of the obtained results with the well-known ones in plates is provided. The obtained solutions of the dispersion equation are shown graphically in three dimensional frequency-complex wave number space, which aids in understanding the properties of non-propagating waves better. The properties of the guided wave, including real, purely imaginary, and complex branches in various functionally graded piezoelectric spherical curved plates, are studied. The effects of material piezoelectricity, graded fields, and mechanical and electrical boundary conditions on the dispersion characteristics, are illustrated. The amplitude distributions of displacement and electric potential are also discussed, to analyze the specificities of non-propagating waves.

Full dispersion and characteristics of complex guided waves in functionally graded piezoelectric plates

2019 ◽  
Vol 30 (10) ◽  
pp. 1466-1480 ◽  
Author(s):  
Xiaoming Zhang ◽  
Chuanzeng Zhang ◽  
Jiangong Yu ◽  
Jing Luo
Keyword(s):  
Evanescent Wave ◽  
Guided Waves ◽  
Electromechanical Coupling ◽  
Phase Speed ◽  
Evanescent Waves ◽  
Guided Wave ◽  
Functionally Graded ◽  
Function Technique ◽  
Functionally Graded Piezoelectric ◽  
Piezoelectric Plates

The improvement of the resolution and energy conversion efficiency of piezoelectric devices requires a thorough study of guided wave, especially the evanescent wave modes with high-phase speed and low attenuation. Due to the computation difficulties, investigations about the evanescent wave in piezoelectric structures are rather limited. In this article, an analytic method based on the orthogonal function technique is presented to investigate the complex dispersion relations and the evanescent guided wave in functionally graded piezoelectric plates, which can convert the complex partial differential equations with variable coefficients into an eigenvalue problem and obtain all solutions. Comparisons with other related studies are conducted to validate the correctness of the presented method. Three-dimensional full dispersion curves are plotted to gain a better insight into the nature of the evanescent waves. The influences of piezoelectricity and graded fields and electrical boundary conditions on evanescent waves are illustrated. The electromechanical coupling factors of the functionally graded piezoelectric material plates with different gradient fields are also investigated. Furthermore, the displacement amplitude and electric potential distributions are also discussed to illustrate the specificities of evanescent guided waves. The corresponding results presented in this work are promised to be used to improve the resolution of piezoelectric transducers.

Wave propagation in functionally graded piezoelectric-piezomagnetic rectangular bars

2017 ◽  
Vol 24 (3) ◽  
pp. 317-326 ◽  
Author(s):  
Bo Zhang ◽  
Jiangong Yu ◽  
Abid A. Shah ◽  
Xiaodong Yang
Keyword(s):  
Wave Propagation ◽  
Rectangular Cross Section ◽  
Guided Wave ◽  
Functionally Graded ◽  
Dimensional Model ◽  
Flat Plates ◽  
Displacement Fields ◽  
Design And Optimization ◽  
Functionally Graded Piezoelectric ◽  
Model Structures

AbstractIn recent years, guided wave propagation in piezoelectric-piezomagnetic composite (PPC) structures are paid much attention for the design and optimization of PPC transducers. Previous investigations are mainly limited in horizontally infinite flat plates, axially infinite hollow cylinders, and so on. They are all one-dimensional model structures, i.e. structures having variable displacement field in only one direction, and the other two displacement fields are both constant. In this paper, a double orthogonal polynomial series approach is proposed to solve the guided wave in two-dimensional model structures, namely, a functionally graded piezoelectric-piezomagnetic (FGPP) bar with a rectangular cross section. The validity of the double polynomial approach is illustrated by the comparison with the available reference results for a pure elastic homogeneous rectangular bar. The guided wave characteristics, including dispersion curves and mechanical displacement distributions, are discussed by calculating various FGPP rectangular bars.

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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