In-plane vibrations of shear deformable curved beams

Moshe Eisenberger, Elia Efraim

Research output: Contribution to journalArticlepeer-review

61 Scopus citations


This paper presents the exact dynamic stiffness matrix for a circular beam with a uniform cross-section. The stiffness matrix is frequency dependent, and the natural frequencies are those that cause the matrix to become singular. Using this matrix the exact natural frequencies of circular beams with various boundary conditions are calculated and compared with available results in the literature.

Original languageEnglish
Pages (from-to)1221-1234
Number of pages14
JournalInternational Journal for Numerical Methods in Engineering
Issue number11
StatePublished - 20 Dec 2001
Externally publishedYes


  • Curved beam
  • Dynamic stiffness
  • Natural frequency
  • Shear deformation
  • Vibration


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