The wave propagation in a long pyroelectric cylinder of crystal class 6 with inner and outer irregular shape is considered. The frequency equation has been derived for the traction free, earth connected, and thermally insulated surfaces. The boundary conditions at the arbitrarily shaped boundaries are satisfied using the Fourier series expansion collocation method. The longitudinal and flexural vibrations of barium titanate ceramic, which belongs to the (6 mm) class, have been analyzed numerically. The numerical results in the case of elliptical and cardioidal cross sections with an elliptical cavity are tabulated and are presented graphically.

H. S. Paul

Barium

Boundary conditions

CYLINDERS

Wave propagation

article

Ceramics

crystal

Fourier analysis

geometry

mathematical analysis

Piezoelectricity

priority journal

sound

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IIT Madras

Wave propagation in a pyroelectric cylinder of inner and outer arbitrary shape

Journal of the Acoustical Society of America

Flexural and longitudinal vibrations in an arbitrary shaped pyroelectric infinite cylinder of crystal class 6 with circular cylindrical cavity is considered. The inner and outer surfaces of the cylinder are traction free, earth connected, and thermally insulated. The boundary conditions are satisfied directly at the regular inner surface and the Fourier series collocation method is applied at the outer boundary to satisfy the boundary conditions. A frequency equation has been derived for crystal class 6 for a general cross section. The frequency equation is analyzed numerically for elliptical and cardioidal cross-section cylinders of crystal class 6mm since all the material constants for class 6 are not available. Barium titanate ceramic is taken for numerical calculations. The results are tabulated and are presented graphically. © 1993, Acoustical Society of America. All rights reserved.

Wave propagation in a pyroelectric cylinder of arbitrary cross section with a circular cylindrical cavity

Flexural and longitudinal wave propagation in a hollow pyroelectric cylinder of crystal class 6 are considered. The frequency equation has been derived for two different cases. Case (i) is for a hollow cylinder whose inner and outer surfaces are traction free, completely coated with electrode which are shorted and thermally insulated. Case (ii) is for a hollow cylinder whose inner surface is clamped, completely coated with electrode which are shorted and thermally insulated while the outer surface is same as in case (i). The frequency equation has been analyzed numerically for Barium titanate ceramic. The results are tabulated and the dispersion curves are presented. © 1991 Springer-Verlag.

Acta Mechanica

Wave propagation in a hollow pyroelectric circular cylinder of crystal class 6

This paper is concerned with the vibration of a piezoelectic cylinder of arbitrary cross section with a cylindrical cavity of arbitrary shape belonging to class 6. The boundary conditions for the inner and the outer arbitrary surfaces are satisfied by using the Fourier expansion collocation method. The frequency equations for the symmetric and the antisymmetric cases are obtained for the cylinder of general cross section of the inner and the outer boundaries. The analysis of the frequency equations are carried out for the material bone. The longitudinal and flexural vibrations are considered and the numerical results are tabulated. The frequency spectra are also presented. © 1991.

International Journal of Engineering Science

Wave propagation in a piezoelectric bone with a cylindrical cavity of arbitrary shape

This problem deals with the wave propagation in a solid cylinder of arbitrary cross section of class 6. The Fourier expansion collocation method by Nagaya is used to satisfy the boundary conditions. The frequency equation which is applicable for the irregular shape is derived. Numerical solutions have been carried out for the circular, elliptic and cardioidal cross sections for bones which belong to class 6. The results are tabulated and the frequency spectrum is also presented. © 1989.

Wave propagation in a piezoelectric solid cylinder of arbitrary cross section of class 6 (bone)

Encyclopedia of Continuum Mechanics

Reissner--Mindlin Model

Journal	Journal of the Acoustical Society of America
ISSN	00014966
Open Access	No