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Journal ArticleDOI

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

H. S. Paul, +1 more
- 01 Jul 1997 - 
- Vol. 102, Iss: 1, pp 301-307
TLDR
In this paper, the wave propagation in a long pyroelectric cylinder of crystal class 6 with inner and outer irregular shape is considered and the frequency equation has been derived for the traction free, earth connected, and thermally insulated surfaces.
Abstract
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.

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Citations
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Journal ArticleDOI

Analytical solution of a pyroelectric hollow cylinder for piezothermoelastic axisymmetric dynamic problems

TL;DR: In this article, a pyroelectric hollow cylinder is transformed to a second kind of Volterra integral equation about a function with respect to time, which can be solved successfully by means of the interpolation method.
Journal ArticleDOI

Analytical solution of a special non-homogeneous pyroelectric hollow cylinder for piezothermoelastic axisymmetric plane strain dynamic problems

TL;DR: The piezothermoelastic axisymmetric plane strain dynamic problem of a special non-homogeneous pyroelectric hollow cylinder is transformed to a Volterra integral equation of the second kind about a function with respect to time, which can be solved successfully by means of the interpolation method.
Journal ArticleDOI

Transient responses of a special non-homogeneous magneto-electro-elastic hollow cylinder for a fully coupled axisymmetric plane strain problem

TL;DR: In this article, the axisymmetric plane strain dynamic problem of a special non-homogeneous magneto-electro-elastic hollow cylinder is finally transformed to two Volterra integral equations of the second kind with respect to two functions of time.
Journal ArticleDOI

Dynamic response of a pyroelectric hollow sphere under radial deformation

TL;DR: In this paper, the dynamic response of a pyroelectric hollow sphere under radial deformation is considered and the separation of variables method is used to transform it to a second kind Volterra integral equation about a function with respect to time.
Journal ArticleDOI

Vibration Analysis of a Transversely Isotropic Hollow Cylinder by Using the Matrix Frobenius Method

TL;DR: In this paper, the displacement potential functions have been introduced in the equations of motion and heat conduction to decouple purely shear and longitudinal motions, and the system of governing partial differential equations is reduced to four second-order coupled ordinary differential equations in radial coordinate.
References
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Journal ArticleDOI

Vibrations of piezoelectric crystals

TL;DR: In this article, the fundamental differential equations of the linear theory of apolar and nonrelativistic, thermopiezoelectricity and also its variational description are presented.
Journal ArticleDOI

Vibrations of Circular Cylindrical Shells of Piezoelectric Silver Iodide Crystals

TL;DR: In this paper, the flexural and axisymmetric vibrations of piezoelectric cylindrical shells of the crystal class 6mm were investigated and the frequency equations were obtained.
Journal ArticleDOI

Vibrations of a hollow circular cylinder of piezoelectric ceramics

TL;DR: In this paper, the wave propagation in a piezoelectric hollow cylinder of class (6mm) crystals or ceramics (∞ m) with traction-free surfaces is studied.
Journal ArticleDOI

Piezoelectric polymer flexural disk hydrophone

TL;DR: In this paper, the free-field voltage sensitivity of a polyvinylidene fluoride (PVF2) hydrophone was investigated under a flexing circular plate (disk) for strength under hydrostatic pressure.
Journal ArticleDOI

Electro-mechanical wave propagation in long bones.

TL;DR: In this study, a dry long bone has been modeled as a piezoelectric, transversely isotropic hollow cylinder, and an analytic solution for this electro-mechanical wave propagation in a long bone for the flexural vibration.
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