Free vibrations of piezoelectric cylindrical shells filled with compressible fluid

Hao Jiang Ding; Wei Qui Chen; Yi Mu Guo; Qing Da Yang

doi:10.1016/S0020-7683(96)00132-1

Free vibrations of piezoelectric cylindrical shells filled with compressible fluid

Hao Jiang Ding, Wei Qui Chen, Yi Mu Guo, Qing Da Yang

Research output: Contribution to journal › Article › peer-review

57 Scopus citations

Abstract

Three displacement functions are introduced to represent each mechanical displacement according to the three-dimensional theory. After expanding these functions and the electric potential with orthogonal series, the free vibration equation of piezoelectric cylindrical shells satisfying SS3 edge conditions can be obtained. The equation was solved by utilizing Bessel functions with complex arguments. The effects of compressible fluid on shells are considered and some new phenomena which are exclusive for piezoelectric cylindrical shells are reported. Results of empty infinite piezoelectric cylindrical shells are compared to those presented in relative references. Some lowest frequencies that were missed by Paul and Venkatesan [Paul, H. S. and Venkatesan, M. (1987). Vibrations of hollow circular cylinder of piezoelectric ceramics. Journal of the Acoustic Society of America 82, 852-856] were discovered.

Original language	English (US)
Pages (from-to)	2025-2034
Number of pages	10
Journal	International Journal of Solids and Structures
Volume	34
Issue number	16
DOIs	https://doi.org/10.1016/S0020-7683(96)00132-1
State	Published - Jun 1997
Externally published	Yes

ASJC Scopus subject areas

Modeling and Simulation
Materials Science(all)
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Applied Mathematics

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title = "Free vibrations of piezoelectric cylindrical shells filled with compressible fluid",

abstract = "Three displacement functions are introduced to represent each mechanical displacement according to the three-dimensional theory. After expanding these functions and the electric potential with orthogonal series, the free vibration equation of piezoelectric cylindrical shells satisfying SS3 edge conditions can be obtained. The equation was solved by utilizing Bessel functions with complex arguments. The effects of compressible fluid on shells are considered and some new phenomena which are exclusive for piezoelectric cylindrical shells are reported. Results of empty infinite piezoelectric cylindrical shells are compared to those presented in relative references. Some lowest frequencies that were missed by Paul and Venkatesan [Paul, H. S. and Venkatesan, M. (1987). Vibrations of hollow circular cylinder of piezoelectric ceramics. Journal of the Acoustic Society of America 82, 852-856] were discovered.",

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AU - Ding, Hao Jiang

AU - Chen, Wei Qui

AU - Guo, Yi Mu

AU - Yang, Qing Da

PY - 1997/6

Y1 - 1997/6

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AB - Three displacement functions are introduced to represent each mechanical displacement according to the three-dimensional theory. After expanding these functions and the electric potential with orthogonal series, the free vibration equation of piezoelectric cylindrical shells satisfying SS3 edge conditions can be obtained. The equation was solved by utilizing Bessel functions with complex arguments. The effects of compressible fluid on shells are considered and some new phenomena which are exclusive for piezoelectric cylindrical shells are reported. Results of empty infinite piezoelectric cylindrical shells are compared to those presented in relative references. Some lowest frequencies that were missed by Paul and Venkatesan [Paul, H. S. and Venkatesan, M. (1987). Vibrations of hollow circular cylinder of piezoelectric ceramics. Journal of the Acoustic Society of America 82, 852-856] were discovered.

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