Wave propagation in axially polarized piezoelectric hollow cylinders of sector cross section

Puzyrev, Vladimir; Storozhev, V. I.

doi:10.1016/j.jsv.2011.04.005

Cited by 15 publications

(12 citation statements)

References 26 publications

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“…To reveal the characteristics of non-propagating waves, we calculate the distributions of the displacement and electric potential for a piezoelectric spherical plate with h = 10, which can be obtained by equations (5) and (7). Here we consider a special position (marked with a circle in Figure 3) where the complex branch first terminates at the minimal value of the fourth propagating mode, O, is about 0.7.…”

Section: Displacement and Electric Potential Distributionsmentioning

confidence: 99%

“…Using the Fourier transform, Paul and Venkatesan 6 determined the axial wave solutions in a piezoelectric hollow cylinder. Using the wave potentials method, Puzyrev and Storozhev 7 investigated the problem of wave propagation in piezoelectric hollow cylinders of sector cross section and presented the dispersion spectra. Yu et al 8 investigated the guided propagating wave in piezoelectric spherical plates using polynomial approach.…”

Section: Introductionmentioning

confidence: 99%

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Complex dispersion solutions for guided waves and properties of non-propagating waves in a piezoelectric spherical plate

Zhang

2018

Advances in Mechanical Engineering

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The vibration modes of an elastic plate are usually divided into propagating and non-propagating (evanescent) kinds. Nonpropagating wave modes are very important for guided wave inspection of defect size and shape. But it is difficult to obtain the complex solutions of the transcendental dispersion equation, corresponding to the non-propagating wave. In this article, we present an improved Legendre polynomial method to calculate the complex-valued dispersion and study properties of the non-propagating wave in a piezoelectric spherical plate. Comparisons with other related studies are conducted to validate the correctness of the presented method. The complete dispersion and attenuation curves are plotted in threedimensional frequency-complex wave number space. The influences of material piezoelectricity and radius-thickness ratio on non-propagating waves in piezoelectric spherical plates are investigated. The amplitude distributions of the electric potential and displacement are also discussed in detail. All the results presented in this work can provide theoretical guidance for ultrasonic nondestructive evaluation and are promising to be applied to improve the resolution of piezoelectric transducers.

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Section: Displacement and Electric Potential Distributionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Complex dispersion solutions for guided waves and properties of non-propagating waves in a piezoelectric spherical plate

Zhang

2018

Advances in Mechanical Engineering

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“…γ 2 1 , γ 2 2 , γ 2 3 are the roots of the bicubic algebraic equation and β pj are described in [53];…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…For the cylinders of circular cross-section with sector cut, we use the following form of functions χ j [53]:…”

Section: Circular Sector Cylindersmentioning

confidence: 99%

“…Problems for piezoceramic cylinders with simple geometries were solved with the analytical solutions that satisfy exactly the boundary conditions. In [53], the authors studied wave propagation in hollow piezoceramic cylinders of sector cross-section and obtained the dispersion equations that satisfy the boundary conditions on the cylindrical and flat surfaces. More complex geometries and multiple layers numerical approaches, especially finite element method (FEM), were used both for elastic [28,32,34] and piezoelectric [45,50] waveguides.…”

Section: Introductionmentioning

confidence: 99%

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Controlling the dynamic behavior of piezoceramic cylinders by cross-section geometry

2012

Self Cite

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This paper focuses on the possibilities of controlling the dispersion spectra and wave characteristics of cylindrical waveguides by changing their geometry and electro-elastic properties. We consider cylinders with classical circular and hollow cross-sections, and waveguides that have sector cut of arbitrary angular measure in the cross-section. Numerical results are presented for the cylinders of all studied types with different boundary conditions. It is shown that the required wave characteristics can be obtained by a variation of the cross-section geometry of the waveguides.

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Electric Elastic Waves in Layered Inhomogeneous and Continuously Inhomogeneous Piezoceramic Cylinders

Grigorenko

Müller

Loza

2021

Advanced Structured Materials

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Wave propagation in axially polarized piezoelectric hollow cylinders of sector cross section

Cited by 15 publications

References 26 publications

Complex dispersion solutions for guided waves and properties of non-propagating waves in a piezoelectric spherical plate

Complex dispersion solutions for guided waves and properties of non-propagating waves in a piezoelectric spherical plate

Controlling the dynamic behavior of piezoceramic cylinders by cross-section geometry

Electric Elastic Waves in Layered Inhomogeneous and Continuously Inhomogeneous Piezoceramic Cylinders

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