Three-Dimensional Vibrations of Layered Piezoelectric Cylinders
Publication: Journal of Engineering Mechanics
Volume 124, Issue 11
Abstract
A semi-analytic discrete-layer model is presented for the three-dimensional free vibration analysis of laminated cylindrical shells with distributed piezoelectric layers. The discrete-layer theory combines finite-element approximations through the shell thickness with Fourier and/or power series in the axial and circumferential directions. This approach can be applied to cylindrical shells consisting of single or multiple layers. Frequencies for the general vibration of solid elastic cylinders show excellent agreement with those in the literature. Results are also presented for the general vibration of laminated piezoelectric cylindrical shells.
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References
1.
Allik, H., and Hughes, T. J. R.(1970). “Finite element for piezoelectric vibration.”Int. J. Numer. Methods in Engrg., 2, 151–157.
2.
Chung, H.(1991). “Free vibration analysis of circular cylindrical shells.”J. Sound and Vibration, 74, 331–350.
3.
EerNisse, E. P.(1967). “Variational method for electroelastic vibration analysis.”IEEE Trans., Sonics and Ultrasonics, 14, 153–160.
4.
Fung, Y. C. (1965). Foundations of solid mechanics. Prentice-Hall, Englewood Cliffs, N.J.
5.
Guo, N., and Cawley, P.(1992). “The finite element analysis of the vibration characteristics of piezoelectric discs.”J. Sound and Vibration, 159, 115–138.
6.
Heyliger, P. R., and Jilani, A.(1992). “The free vibrations of inhomogeneous elastic cylinders and spheres.”Int. J. Solids and Struct., 29, 2689–2708.
7.
Heyliger, P. R., and Saravanos, D. A. (1993). “On discrete-layer mechanics for health monitoring applications in sensory/active composite laminates.”Adaptive structures and material systems, Vol. 35, American Society of Mechanical Engineers, New York, 303–312.
8.
Holland, R., and EerNisse, E. P.(1968). “Variational Evaluation of admittance of multielectroded three-dimensional piezoelectric structures.”IEEE Trans., Sonics and Ultrasonics, 15, 119–132.
9.
Hussein, M. M. (1994). “Dynamic characteristics of laminated elastic and piezoelectric structures,” PhD dissertation, Dept. of Civ. Engrg., Colorado State University, Fort Collins, Colo.
10.
Hussein, M. M., and Heyliger, P. R.(1996). “Discrete-layer analysis of axisymmetric vibrations of laminated piezoelectric cylinders.”J. Sound and Vibration, 192, 995–1014.
11.
Naillon, M., Coursant, R. H., and Besnier, F.(1983). “Analysis of piezoelectric structures by a finite element method.”Acta Electronica, 25, 341–362.
12.
Nye, N. Y. (1972). Physical properties of crystals: their representation by tensors and matrices. Oxford University Press, Oxford, U.K.
13.
Ostergaard, D. F., and Pawlak, T. P. (1986). “Three-dimensional finite element for analyzing piezoelectric structures.”Proc., 1986 IEEE Ultrasonics Symp., IEEE, New York, 639–644.
14.
Pauley, K. E., and Dong, S. B.(1976). “Analysis of plane waves in laminated piezoelectric plates.”Wave electronics, 1, 265–285.
15.
Reddy, J. N.(1987). “A generalization of displacement-based laminate theories.”Communications in Appl. Numer. Methods, 3, 173–181.
16.
Reddy, J. N., Barbero, E. J., and Teply, J. L.(1989). “A plate bending element based on a generalized laminate plate theory.”Int. J. Numer. Methods in Engrg., 28, 2275–2292.
17.
Siao, J. C.-T., Dong, S. B., and Song, J.(1994). “Frequency spectra of laminated piezoelectric cylinders.”J. Vibration and Acoustics, 116, 364–370.
18.
Tiersten, H. F. (1969). Linear piezoelectric plate vibrations. Plenum Press, New York.
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Published In
Journal of Engineering Mechanics
Volume 124 • Issue 11 • November 1998
Pages: 1294 - 1298
Copyright
Copyright © 1998 American Society of Civil Engineers.
History
Published online: Nov 1, 1998
Published in print: Nov 1998
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