Asymptotic Approximations for Frequencies and Vibration Modes of Cylindrical Shell Stiffened by Annular Plates

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Abstract

Low frequencies and vibration modes of a closed circular cylindrical shell joined with annular plates are obtained by means of asymptotic methods. Two types of vibrations, corresponding to narrow and wide plates, are analyzed. It is shown that narrow plates can be considered as circular beams. For wide plates joined with a cylindrical shell the couple vibration problem in the first approximation is reduced to the eigenvalue problem describing the plate vibrations. An approximate solution of the last problem is obtained with the help of the perturbation approach.

Original languageEnglish
Title of host publicationAnalysis of Shells, Plates, and Beams
Subtitle of host publicationA State of the Art Report
Place of PublicationCham
PublisherSpringer Nature
Pages123-140
ISBN (Electronic)978-3-030-47491-1
ISBN (Print)978-3-030-47490-4
DOIs
StatePublished - 2020

Publication series

NameAdvanced Structured Materials
Volume134
ISSN (Print)1869-8433
ISSN (Electronic)1869-8441

Scopus subject areas

  • Materials Science(all)

Keywords

  • Annular plate
  • Asymptotic methods
  • Ring-stiffened shell
  • Vibration frequency

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