In-plane flexural vibrations of circular rings

Singiresu S Rao, V. Sundararajan

Research output: Contribution to journalArticlepeer-review

99 Scopus citations


An equation of motion governing the free, in-plane vibrations of a circular ring is developed to include the effects of shear deformation and rotatory inertia. This equation is solved to find the natural frequencies of vibration of free rings and stiffened rings and the results compared with those given by a classical formula. The frequencies for a free ring are found to compare well with the experimental values of Kuhl [5]. Natural frequencies of circular arcs are calculated from the classical equation with hinged and fixed end conditions and the results compared with the approximate values given by Den Hartog [8,9].

Original languageEnglish (US)
Pages (from-to)620-625
Number of pages6
JournalJournal of Applied Mechanics, Transactions ASME
Issue number3
StatePublished - 1964
Externally publishedYes

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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