Dynamic stability of a rotating shaft embedded in an isotropic winkler-type foundation

Lien-Wen Chen, Der Ming Ku

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The dynamic instability of a rotating shaft subjected to axial periodic forces and embedded in an isotropic, Winkler-type elastic foundation is studied by the finite element technique. The equations of motion for such a rotating shaft element are formulated using deformation shape functions developed from the Timoshenko beam theory. The effects of translational and rotatory inertia, gyroscopic moments, bending and shear deformation are included in the mathematical model. The numerical results show that the elastic foundation can shift the regions of dynamic instability away from the dynamic load factor axis and thus reduces the sizes of these regions, whereas the effect of gryoscopic moments is to shift the boundaries of the regions of dynamic instability outwardly and, therefore, increases the sizes of these regions.

Original languageEnglish
Pages (from-to)687-696
Number of pages10
JournalMechanism and Machine Theory
Volume26
Issue number7
DOIs
Publication statusPublished - 1991 Jan 1

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Bending moments
Dynamic loads
Shear deformation
Equations of motion
Mathematical models

All Science Journal Classification (ASJC) codes

  • Bioengineering
  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications

Cite this

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title = "Dynamic stability of a rotating shaft embedded in an isotropic winkler-type foundation",
abstract = "The dynamic instability of a rotating shaft subjected to axial periodic forces and embedded in an isotropic, Winkler-type elastic foundation is studied by the finite element technique. The equations of motion for such a rotating shaft element are formulated using deformation shape functions developed from the Timoshenko beam theory. The effects of translational and rotatory inertia, gyroscopic moments, bending and shear deformation are included in the mathematical model. The numerical results show that the elastic foundation can shift the regions of dynamic instability away from the dynamic load factor axis and thus reduces the sizes of these regions, whereas the effect of gryoscopic moments is to shift the boundaries of the regions of dynamic instability outwardly and, therefore, increases the sizes of these regions.",
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Dynamic stability of a rotating shaft embedded in an isotropic winkler-type foundation. / Chen, Lien-Wen; Ku, Der Ming.

In: Mechanism and Machine Theory, Vol. 26, No. 7, 01.01.1991, p. 687-696.

Research output: Contribution to journalArticle

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