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Flexural vibration in a finite piezoelectric circular cylinder of crystal class 6 mm
H. S. Paul, K. Natarajan
Published in
1994
Volume: 32
   
Issue: 8
Pages: 1303 - 1314
Abstract
Flexural vibration in a finite piezoelectric circular solid cylinder of crystal class 6mm is studied for traction-free and electric potential-free boundaries. The solution is obtained in the form of a series, in which the boundary conditions for the shear stresses on curved and plane end surfaces and electric potential on the plane ends are satisfied term-by-term. Remaining other boundary conditions are satisfied by an orthogonalization procedure. The series converges rapidly within a few terms. Numerical computation is carried out for the piezoelectric ceramic PZT4. For various ratios of half-height to radius of the cylinder, the natural frequencies are calculated for the first and second circular modes. The stress distribution over the cylinder for the first circular mode are presented graphically. © 1994.
About the journal
JournalInternational Journal of Engineering Science
ISSN00207225
Open AccessNo
Concepts (23)
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    Ceramic materials
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    Computational methods
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    Convergence of numerical methods
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    Crystalline materials
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    Cylinders (shapes)
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    Electric properties
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    Mathematical models
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    Numerical methods
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    Polynomials
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    Shear stress
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    Surfaces
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    Vibrations (mechanical)
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    Boundary conditions
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    CRYSTAL CLASS 6 MM
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    ELECTRIC POTENTIALS
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    Flexural vibrations
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    MATHEMATICAL SERIES
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    Natural frequencies
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    ORTHOGONALIZATION PROCEDURE
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    PIEZOELECTRIC CERAMIC PZT4
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    PIEZOELECTRIC CIRCULAR SOLID CYLINDERS
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    STRESS DISTRIBUTION
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    Piezoelectric materials