Dynamic stability of a cantilever shaft-disk system

Lien Wen Chen, Der Ming Ku

Research output: Contribution to journalArticlepeer-review

43 Citations (Scopus)


The dynamic stability behavior of a cantilever shaft-disk system subjected to axial periodic forces varying with time is studied by the finite element method. The equations of motion for such a system are formulated using deformation shape functions developed from Timoshenko beam theory. The effects of translational and rotatory inertia, gyroscopic moment, bending and shear deformation are included in the mathematical model. Numerical results show that the effect of the gyroscopic term is to shift the boundaries of the regions of dynamic instability outwardly and, therefore, the sizes of these regions are enlarged as the rotational speed increases.

Original languageEnglish
Pages (from-to)326-329
Number of pages4
JournalJournal of Vibration and Acoustics, Transactions of the ASME
Issue number3
Publication statusPublished - 1992 Jul

All Science Journal Classification (ASJC) codes

  • Acoustics and Ultrasonics
  • Mechanics of Materials
  • Mechanical Engineering


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