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Forced responses of solid axially polarized piezoelectric ceramic finite cylinders with internal lossesPublished in

2005

DOI: 10.1121/1.1900543

Volume: 117

Issue: 6

Pages: 3645 - 3656

A method is presented to determine the forced responses of piezoelectric cylinders using weighted sums of only certain exact solutions to the equations of motion and the Gauss electrostatic conditions. One infinite set of solutions is chosen such that each field variable is expressed in terms of Bessel functions that form a complete set in the radial direction. Another infinite set of solutions is chosen such that each field variable is expressed in terms of trigonometric functions that form a complete set in the axial direction. Another solution is used to account for the electric field that can exist even when there is no vibration. The weights are determined by using the orthogonal properties of the functions and are used to satisfy specified, arbitrary, axisymmetric boundary conditions on all the surfaces. Special cases including simultaneous mechanical and electrical excitation of cylinders are presented. All numerical results are in excellent agreement with those obtained using the finite element software ATILA. For example, the five lowest frequencies at which the conductance and susceptance of a stress-free cylinder, of length 10 mm and radius 5 mm, reach a local maximum or minimum differ by less than 0.01% from those computed using ATILA. © 2005 Acoustical Society of America.

Topics: Infinite set (54)%54% related to the paper, Trigonometric functions (52)%52% related to the paper, Boundary value problem (52)%52% related to the paper, Finite element method (52)%52% related to the paper and Equations of motion (51)%51% related to the paper

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About the journal

Journal | Journal of the Acoustical Society of America |
---|---|

ISSN | 00014966 |

Open Access | No |

Concepts (24)

- Bessel functions
- Boundary conditions
- Computer software
- Electrostatics
- Equations of motion
- Finite element method
- Natural frequencies
- Piezoelectric devices
- GAUSS ELECTROSTATIC CONDITIONS
- Radial direction
- STRESS-FREE CYLINDERS
- Trigonometric functions
- Acoustics
- Article
- Ceramics
- Computer program
- Conductance
- Electric field
- Finite element analysis
- Mathematical analysis
- Piezoelectricity
- Polarization
- Priority journal
- Vibration