Axisymmetric free vibrations of piezolectric finite cylindrical bone
01 Jul 1994-Journal of the Acoustical Society of America (Acoustical Society of America)-Vol. 96, Iss: 1, pp 213-220
TL;DR: In this paper, a series solution is derived and the natural frequencies are found for the vibration of a finite piezoelectric circular solid cylinder with traction-free and electric potential-free surfaces.
Abstract: Axisymmetric vibrations in a finite piezoelectric circular solid cylinder of class 6 or 6 mm is considered. A series solution is derived and the natural frequencies are found for the vibration of the solid cylinder with traction‐free and electric potential‐free surfaces. The series solution converges rapidly with few terms. The numerical results are carried out for the piezoelectric bone (class 6) and PZT4 (class 6 mm). The modes of vibrations are calculated for various half‐height to radius ratios and plotted graphically. The stresses and electric potential distribution over the entire cylinder are also presented graphically.
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TL;DR: In this article, the free vibration equation of piezoelectric cylindrical shells satisfying SS3 edge conditions was solved by utilizing Bessel functions with complex arguments, and the effects of compressible fluid on shells are considered and some new phenomena which are exclusive for pieziolectric cylinders are reported.
79 citations
TL;DR: A method to analyze axially polarized piezoelectric ceramic cylinders with arbitrary length to radius ratio and arbitrary boundary conditions on the flat surfaces is presented, based on the use of functions that individually exactly satisfy the axisymmetric equations of motion and the Gauss electrostatic conditions.
Abstract: A method to analyze axially polarized piezoelectric ceramic cylinders with arbitrary length to radius ratio and arbitrary boundary conditions on the flat surfaces is presented. The method is based on the use of functions that individually exactly satisfy the axisymmetric equations of motion and the Gauss electrostatic conditions. The axial and radial components of displacement and the potential are expressed as weighted sums of these functions. The functions form complete sets in the radial direction and arbitrary boundary conditions can, therefore, be satisfied on the flat surfaces. On the curved surface, certain uniform boundary conditions can be exactly satisfied. The weights are easily determined by using the orthogonal property of the functions. The input electrical admittance is a function of only the average boundary conditions and is very easily determined. Several special cases and numerical results are presented for electrically and mechanically excited cylinders to illustrate the method. The se...
34 citations
TL;DR: In this article, the bending problem of a simply supported, angle-ply piezoelectric-laminated cylindrical panel with weak interfaces is considered and a general spring-layer model is adopted to describe the weakness of imperfect interfaces.
Abstract: The bending problem of a simply supported, angle-ply piezoelectric-laminated cylindrical panel in cylindrical bending with weak interfaces is considered. A general spring-layer model is adopted to describe the weakness of imperfect interfaces. An exact analysis is performed via the state-space approach. A new system of physical variables is introduced and a variable substitution technique is employed to derive a state equation with constant coefficients. Numerical results are given to show the effect of weak interfaces.
28 citations
Cites background from "Axisymmetric free vibrations of pie..."
...As regards the piezoelectric cylindrical shells, there have been many technical papers published, dealing with various aspects of mechanics, including bending [1, 2], waves [3, 4], free vibration [ 5 , 6], stability [7, 8], transient response [9, 10], and piezothermoelastic as well as other coupled problems [11–14]....
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TL;DR: In this article, the authors presented an exact three-dimensional free vibration analysis of a transversely isotropic piezoelectric circular cylindrical panel and compared the results with available data in literature.
27 citations
TL;DR: In this article, a theoretical study of a piezoelectric annular cylinder under axisymmteric electromechanical loading is presented. But the authors assume that the material is transversely isotropic and the general solutions of the governing equations are obtained in terms of a Fourier-Bessel series containing Bessel functions of the first and second kind.
25 citations