Asymptotic analysis of the modes of wave propagation in a piezoelectric solid cylinder

DOI10.1121/1.387449zbMath0519.73094OpenAlexW2095159325MaRDI QIDQ3669009

D. P. Raju, H. S. Paul

Publication date: 1982

Published in: The Journal of the Acoustical Society of America (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1121/1.387449

zbMATH Keywords

frequencyasymptotic methodelectric potentialintegrationdisplacement componentsexpressed as power series of dimensionless wavenumberfrequency spectrum at long wavelengthsceramics (infinity m)collecting terms of same ordercrystal class (6mm)longitudinal and circumferential modespiezoelectric solid circular cylinderradial coordinates as independent variablereal valued dimensionless wavenumber less than unitysubstituting expansions in field equations and boundary conditionssystem of coupled second-order inhomogeneous ordinary differential equationsvarious terms in series expansions for modeswhole range of frequencies

Mathematics Subject Classification ID

Electromagnetic effects in solid mechanics (74F15) Wave scattering in solid mechanics (74J20) Waves in solid mechanics (74J99)

Related Items (7)

Flexural vibration in a finite piezoelectric circular cylinder of crystal class 6mm ⋮ Elastic Waves in Generalized Thermo-Piezoelectric Transversely Isotropic Circular Bar Immersed in Fluid ⋮ Radially polarized functionally graded piezoelectric hollow cylinders as sensors and actuators ⋮ Modeling of elastic waves in a fluid loaded and immersed piezoelectric hollow fiber ⋮ Wave propagation in a piezoelectric solid cylinder of arbitrary cross section of class 6 (bone) ⋮ Wave characteristics in functionally graded piezoelectric hollow cylinders ⋮ Free vibrations of a piezoelectric layer of hexagonal (6mm) class

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