Free vibrations of square elastic tubes with a free end

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The localized vibrations of a thin-walled square tube with a free end are studied. By means of asymptotic methods, an expression for the natural frequency is found. The asymptotic results agree well with the numerical results obtained using the Finite Element Method. The dependence of the natural frequency on the tube length is analyzed.

Original languageEnglish
Pages (from-to)457-464
Number of pages8
JournalMechanics Research Communications
Issue number4
StatePublished - 2000

Scopus subject areas

  • Civil and Structural Engineering
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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