Finite element eigenvalue analysis of tapered and twisted Timoshenko beams

R. S. Gupta, S. S. Rao

Research output: Contribution to journalArticlepeer-review

86 Scopus citations


The stiffness and mass matrices of a twisted beam element with linearly varying breadth and depth are derived. The angle of twist is assumed to vary linearly along the length of the beam. The effects of shear deformation and rotary inertia are considered in deriving the elemental matrices. The first four natural frequencies and mode shapes are calculated for cantilever beams of various depth and breadth taper ratios at different angles of twist. The results are compared with those available in the literature.

Original languageEnglish (US)
Pages (from-to)187-200
Number of pages14
JournalJournal of Sound and Vibration
Issue number2
StatePublished - Jan 22 1978
Externally publishedYes

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Acoustics and Ultrasonics
  • Mechanical Engineering


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