Axisymmetric wave propagation in transversely isotropic piezoelectric functionally grade cylinder

M. Shatalov; E. V. Murashkin; R. M. Mahamood; P. Skhosana; A. Mkolesia

doi:10.3103/S0025654421060169

Axisymmetric wave propagation in transversely isotropic piezoelectric functionally grade cylinder

M. Shatalov^*, E. V. Murashkin^*, R. M. Mahamood^*, P. Skhosana, A. Mkolesia

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

Exact solution of the axisymmetric wave propagation problem in the functionally graded transversely isotropic cylinder with axial polarization is derived in Bessel functions and algorithmic form which is simple to program for numerical simulations. The spectral diagrams of the travelling and evanescent wave propagation are plotted for cylinders which are made in the form of concentric layers from PZT-4, PZT-5H and PZT-7A piezoceramics. The qualitative and quantitative peculiarities of the travelling and evanescent waves are discussed for different structural composition of the functionally graded structures and for open- and close-ciruit regimes of electric boundary conditions.

Original language	English
Pages (from-to)	1091-1102
Number of pages	12
Journal	Mechanics of Solids
Volume	56
Issue number	6
DOIs	https://doi.org/10.3103/S0025654421060169
Publication status	Published - 1 Nov 2021
Externally published	Yes

Keywords

axisymmetric wave propagation in cylinder
dispersion curves
electric and mechanical boundary conditions
exact solution
piezoelectric functionally graded material
spectral diagrams

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10.3103/S0025654421060169

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title = "Axisymmetric wave propagation in transversely isotropic piezoelectric functionally grade cylinder",

abstract = "Exact solution of the axisymmetric wave propagation problem in the functionally graded transversely isotropic cylinder with axial polarization is derived in Bessel functions and algorithmic form which is simple to program for numerical simulations. The spectral diagrams of the travelling and evanescent wave propagation are plotted for cylinders which are made in the form of concentric layers from PZT-4, PZT-5H and PZT-7A piezoceramics. The qualitative and quantitative peculiarities of the travelling and evanescent waves are discussed for different structural composition of the functionally graded structures and for open- and close-ciruit regimes of electric boundary conditions.",

keywords = "axisymmetric wave propagation in cylinder, dispersion curves, electric and mechanical boundary conditions, exact solution, piezoelectric functionally graded material, spectral diagrams",

author = "M. Shatalov and Murashkin, {E. V.} and Mahamood, {R. M.} and P. Skhosana and A. Mkolesia",

note = "Funding Information: The work was financially supported by SA (NRF)/RUSSIA (RFBR) joint science and technology research collaboration (project no. 19-51-60001).",

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doi = "10.3103/S0025654421060169",

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T1 - Axisymmetric wave propagation in transversely isotropic piezoelectric functionally grade cylinder

AU - Shatalov, M.

AU - Murashkin, E. V.

AU - Mahamood, R. M.

AU - Skhosana, P.

AU - Mkolesia, A.

N1 - Funding Information: The work was financially supported by SA (NRF)/RUSSIA (RFBR) joint science and technology research collaboration (project no. 19-51-60001).

PY - 2021/11/1

Y1 - 2021/11/1

N2 - Exact solution of the axisymmetric wave propagation problem in the functionally graded transversely isotropic cylinder with axial polarization is derived in Bessel functions and algorithmic form which is simple to program for numerical simulations. The spectral diagrams of the travelling and evanescent wave propagation are plotted for cylinders which are made in the form of concentric layers from PZT-4, PZT-5H and PZT-7A piezoceramics. The qualitative and quantitative peculiarities of the travelling and evanescent waves are discussed for different structural composition of the functionally graded structures and for open- and close-ciruit regimes of electric boundary conditions.

AB - Exact solution of the axisymmetric wave propagation problem in the functionally graded transversely isotropic cylinder with axial polarization is derived in Bessel functions and algorithmic form which is simple to program for numerical simulations. The spectral diagrams of the travelling and evanescent wave propagation are plotted for cylinders which are made in the form of concentric layers from PZT-4, PZT-5H and PZT-7A piezoceramics. The qualitative and quantitative peculiarities of the travelling and evanescent waves are discussed for different structural composition of the functionally graded structures and for open- and close-ciruit regimes of electric boundary conditions.

KW - axisymmetric wave propagation in cylinder

KW - dispersion curves

KW - electric and mechanical boundary conditions

KW - exact solution

KW - piezoelectric functionally graded material

KW - spectral diagrams

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DO - 10.3103/S0025654421060169

M3 - Article

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SP - 1091

EP - 1102

JO - Mechanics of Solids

JF - Mechanics of Solids

IS - 6

ER -

Axisymmetric wave propagation in transversely isotropic piezoelectric functionally grade cylinder

Abstract

Keywords

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