Finite element eigenvalue analysis of tapered and twisted Timoshenko beams

R. S. Gupta, Singiresu S Rao

Research output: Contribution to journalArticle

79 Citations (Scopus)

Abstract

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
Pages (from-to)187-200
Number of pages14
JournalJournal of Sound and Vibration
Volume56
Issue number2
DOIs
StatePublished - Jan 22 1978
Externally publishedYes

Fingerprint

Timoshenko beams
Cantilever beams
Shear deformation
Natural frequencies
eigenvalues
Stiffness
stiffness matrix
cantilever beams
modal response
matrices
tapering
inertia
resonant frequencies
shear

ASJC Scopus subject areas

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

Cite this

Finite element eigenvalue analysis of tapered and twisted Timoshenko beams. / Gupta, R. S.; Rao, Singiresu S.

In: Journal of Sound and Vibration, Vol. 56, No. 2, 22.01.1978, p. 187-200.

Research output: Contribution to journalArticle

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