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.

H. S. Paul

Ganapathy V. Raman

CRYSTALS - LATTICE VIBRATIONS

PYROELECTRICITY - WAVE EFFECTS

Flexural Vibrations

PYROELECTRIC MATERIALS

Wave propagation

Biological materials

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IIT Madras

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

Acta Mechanica

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.

Journal of the Acoustical Society of America

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

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

The wave propagation in a piezoelectric hollow cylinder of class (6-mm) crystals or ceramics (m) with traction-free surfaces is studied. The frequency equations are obtained subject to various types of electrical boundary conditions and are examined numerically for the piezoceramic material PZT-4; the results are presented graphically as well as in tables. © 1987, Acoustical Society of America. All rights reserved.

Vibrations of a hollow circular cylinder of piezoelectric ceramics

The exact frequency equation for the free vibrations of a pyroelectric (thermo-piezoelectric) layer of (6 mm) class is obtained. The surfaces of the layer are kept traction free, completely coated with electrodes which are shorted and thermally insulated. The symmetric and the antisymmetric modes of vibration are discussed numerically. The dispersion curves have been presented graphically for a barium titanate (BaTiO3) layer. © 1985, Acoustical Society of America. All rights reserved.

Journal	Data powered by TypesetActa Mechanica
Publisher	Data powered by TypesetSpringer-Verlag
ISSN	00015970
Open Access	No