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 |
|---|---|
| Pages (from-to) | 2025-2034 |
| Number of pages | 10 |
| Journal | International Journal of Solids and Structures |
| Volume | 34 |
| Issue number | 16 |
| State | Published - Jun 1 1997 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Mechanical Engineering
- Mechanics of Materials
Cite this
Free vibrations of piezoelectric cylindrical shells filled with compressible fluid. / Ding, Hao Jiang; Chen, Wei Qui; Guo, Yi Mu; Yang, Qingda.
In: International Journal of Solids and Structures, Vol. 34, No. 16, 01.06.1997, p. 2025-2034.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Free vibrations of piezoelectric cylindrical shells filled with compressible fluid
AU - Ding, Hao Jiang
AU - Chen, Wei Qui
AU - Guo, Yi Mu
AU - Yang, Qingda
PY - 1997/6/1
Y1 - 1997/6/1
N2 - 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.
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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UR - http://www.scopus.com/inward/citedby.url?scp=0031168742&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:0031168742
VL - 34
SP - 2025
EP - 2034
JO - International Journal of Solids and Structures
JF - International Journal of Solids and Structures
SN - 0020-7683
IS - 16
ER -