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 journalArticle

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

ASJC Scopus subject areas

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

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