Free vibrations of piezoelectric cylindrical shells filled with compressible fluid

Hao Jiang Ding, Wei Qui Chen, Yi Mu Guo, Qingda Yang

Research output: Contribution to journalArticle

57 Citations (Scopus)

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 languageEnglish
Pages (from-to)2025-2034
Number of pages10
JournalInternational Journal of Solids and Structures
Volume34
Issue number16
StatePublished - Jun 1 1997
Externally publishedYes

Fingerprint

compressible fluids
cylindrical shells
Cylindrical Shell
free vibration
Compressible Fluid
Free Vibration
Bessel functions
Fluids
Piezoelectric ceramics
Circular cylinders
Piezoelectric Ceramics
Orthogonal Series
Acoustics
Electric Potential
piezoelectric ceramics
Bessel Functions
circular cylinders
Circular Cylinder
Low Frequency
hollow

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 journalArticle

@article{df11fc12007c4089854e9118a2c894f2,
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.",
author = "Ding, {Hao Jiang} and Chen, {Wei Qui} and Guo, {Yi Mu} and Qingda Yang",
year = "1997",
month = "6",
day = "1",
language = "English",
volume = "34",
pages = "2025--2034",
journal = "International Journal of Solids and Structures",
issn = "0020-7683",
publisher = "Elsevier Limited",
number = "16",

}

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.

UR - http://www.scopus.com/inward/record.url?scp=0031168742&partnerID=8YFLogxK

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 -