Finite element analysis of natural whirl speeds of rotating shafts

Chen Lien-Wen, Ku Der-Ming

Research output: Contribution to journalArticlepeer-review

23 Citations (Scopus)


A three-nodal, C0 Timoshenko beam finite element model is applied to analyze the natural whirl speeds of a rotating shaft with different end conditions. The effects of translational and rotary inertia, gyroscopic moments, bending and shear deformation are included in the mathematical model. In order to facilitate the calculations of the natural whirl speeds, a rotating frame of reference is used in the formulation. Comparison is made of the present finite element analysis with other previously published works available in the literature, with results presented for the case of forward and backward precession to verify the gyroscopic effects. The numerical results show that the present finite element model has high accuracy and good convergence.

Original languageEnglish
Pages (from-to)741-747
Number of pages7
JournalComputers and Structures
Issue number3
Publication statusPublished - 1991

All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • Modelling and Simulation
  • Materials Science(all)
  • Mechanical Engineering
  • Computer Science Applications


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