Investigation of free vibrations of composite beams by using the finite-difference method

K. S. Numayr, M. A. Haddad, A. F. Ayoub

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


The free-vibration behavior of symmetrically laminated fiber-reinforced composite beams with different boundary conditions is examined. The effects of shear deformation and rotary inertia, separately and/or in combination, on the free-vibration properties of the beams are investigated. The finite-difference method is used to solve the partial differential equations describing the free-vibration motion in each case. The effect of shear deformation on the natural frequencies is considerable, especially for higher frequencies, whereas the influence of rotary inertia is less significant. The study includes comparisons with results available in the literature. In addition, the impact of such factors as the span/depth ratio, fiber orientation, stacking sequence, and material type on free vibrations of the composite beams is investigated.

Original languageEnglish
Pages (from-to)231-242
Number of pages12
JournalMechanics of Composite Materials
Issue number3
Publication statusPublished - May 2006
Externally publishedYes


  • Beams
  • Composite materials
  • Free vibration
  • Laminates
  • Modal shape
  • Natural frequency
  • Rotary inertia
  • Shear deformation

ASJC Scopus subject areas

  • Ceramics and Composites
  • Biomaterials
  • General Mathematics
  • Condensed Matter Physics
  • Mechanics of Materials
  • Polymers and Plastics


Dive into the research topics of 'Investigation of free vibrations of composite beams by using the finite-difference method'. Together they form a unique fingerprint.

Cite this