Free vibration analysis of non-rotating and rotating Timoshenko beams with damaged boundaries using the Chebyshev collocation method

Maen S. Sari, Eric Butcher

Research output: Contribution to journalArticle

31 Citations (Scopus)

Abstract

This paper proposes a new numerical technique for the free vibration analysis of non-rotating and rotating Timoshenko beams with damaged boundaries. For this purpose, the Chebyshev collocation method is applied to obtain the natural frequencies and mode shapes. The damaged boundaries of the Timoshenko beam are represented by distributed translational and torsional springs. In the present study the boundary conditions are coupled with the governing equation to formulate the eigenvalue problem.

Original languageEnglish (US)
Pages (from-to)1-11
Number of pages11
JournalInternational Journal of Mechanical Sciences
Volume60
Issue number1
DOIs
StatePublished - Jul 2012
Externally publishedYes

Fingerprint

Timoshenko beams
collocation
free vibration
Vibration analysis
Natural frequencies
Boundary conditions
modal response
resonant frequencies
eigenvalues
boundary conditions

Keywords

  • Chebyshev collocation method
  • Damaged boundaries
  • Eigenvalue problem
  • Free vibration analysis
  • Mode shapes
  • Rotating Timoshenko beams

ASJC Scopus subject areas

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

Cite this

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