Free vibration of axially loaded thin-walled composite Timoshenko beams

Thuc Vo, Jaehong Lee

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)
9 Downloads (Pure)

Abstract

Based on shear-deformable beam theory, free vibration of thin-walled composite Timoshenko beams with arbitrary layups under a constant axial force is presented. This model accounts for all the structural coupling coming from material anisotropy. Governing equations for flexural-torsional-shearing coupled vibrations are derived from Hamilton’s principle. The resulting coupling is referred to as sixfold coupled vibrations. A displacement-based one-dimensional finite element model is developed to solve the problem. Numerical results are obtained for thin-walled composite beams to investigate the effects of shear deformation, axial force, fiber angle, modulus ratio on the natural frequencies, corresponding vibration mode shapes and load–frequency interaction curves.
Original languageEnglish
Pages (from-to)1165-1180
JournalArchive of Applied Mechanics
Volume81
Issue number9
DOIs
Publication statusPublished - 2011

Keywords

  • Thin-walled composite Timoshenko beams
  • shear deformation
  • sixfold coupled vibrations
  • axial force

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