Stability of non-conservative linear discrete gyroscopic systems

S. M. Yang, C. D. Mote

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)


A criterion guaranteeing asymptotic stability of non-conservative, linear gyroscopic systems is derived. The criterion applies to linear systems with internal damping, external damping, and circulatory forces as well as systems with negative definite stiffness matrix. A sufficient condition of flutter instability is also presented. The condition is shown applicable to both conservative and non-conservative gyroscopic systems. An application of the stability criteria explains why internal damping destabilizes a rotating system when operated above critical speed. It is also shown that the critical speed of a gyroscopic system is not an absolute stability measure; the critical speed depends on the frame of reference.

Original languageEnglish
Pages (from-to)453-464
Number of pages12
JournalJournal of Sound and Vibration
Issue number3
Publication statusPublished - 1991 Jun 22

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Acoustics and Ultrasonics
  • Mechanical Engineering


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