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Journal ArticleDOI

Flexural vibration in a finite piezoelectric hollow cylinder of class 6mm

01 Jan 1996-Journal of the Acoustical Society of America (Acoustical Society of America)-Vol. 99, Iss: 1, pp 373-382
TL;DR: In this article, the flexural vibration in a finite piezoelectric circular hollow cylinder belonging to crystal class 6mm is considered and the solutions for the mechanical displacements and the electric potential are derived in a series form.
Abstract: In this study, the flexural vibration in a finite piezoelectric circular hollow cylinder belonging to crystal class 6mm is considered. Both the inner and outer curved surfaces and the end plane surfaces are free from traction and electric potential. Solutions for the mechanical displacements and the electric potential are derived in a series form. Boundary conditions on shear stress are satisfied exactly term by term in the series and the remaining boundary conditions are satisfied by an orthogonalization procedure. Numerical analysis is carried out for the piezoelectric ceramic PZT4. The natural frequencies are calculated for the circular modes one and two and presented graphically.
Citations
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Journal ArticleDOI
TL;DR: In this paper, an exact three-dimensional solution of the equations of linear piezoelectricity is given for the static response of a finite laminated cylindrical cylinder with its ends simply supported.

80 citations

Journal ArticleDOI
TL;DR: In this article, a general non-axisymmetric exact analysis of the statics of a laminated piezoelectric hollow sphere is presented by using a state space method.

48 citations

Journal ArticleDOI
W.Q. Chen1
TL;DR: In this paper, three displacement functions are introduced to simplify the basic equations of a radially polarized, spherically isotropic, piezoelectric medium with radial inhomogeneity.

33 citations

Journal ArticleDOI
TL;DR: In this article, a displacement separation technique is employed to simplify the basic equations of a piezoceramic body with radial inhomogeneity, and the controlling equations are finally reduced to an uncoupled second-order ordinary differential equation and a coupled system of three second order ordinary differential equations.

32 citations

Journal ArticleDOI
TL;DR: In this article, an exact three-dimensional analysis of the free vibration of a piezoceramic hollow sphere filled with a compressible fluid medium is presented, where three displacement functions are introduced to rewrite three components of the mechanical displacement in spherical coordinates.

30 citations