Stability of limit cycles in frictionally damped and aerodynamically unstable rotor stages

A. Sinha, J. H. Griffin

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

This paper deals with the stability of limit cycles (Steady-State Oscillations) associated with the multi-degree-of-freedom model of a frictionally damped and aerodynamically unstable rotor stage. By using the first order averaging technique, a generalized criterion has been established to sort out those unstable limit cycles which govern the maximum transient amplitude beyond which the rotor stage becomes unstable. The stability of the remaining steady-state solutions is analyzed by linearizing the averaged system of differential equations. Numerical results are discussed for three-, four- and five-bladed disks.

Original languageEnglish (US)
Pages (from-to)341-356
Number of pages16
JournalJournal of Sound and Vibration
Volume103
Issue number3
DOIs
StatePublished - Dec 8 1985

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rotors
Rotors
cycles
Differential equations
differential equations
degrees of freedom
oscillations

All Science Journal Classification (ASJC) codes

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

Cite this

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Stability of limit cycles in frictionally damped and aerodynamically unstable rotor stages. / Sinha, A.; Griffin, J. H.

In: Journal of Sound and Vibration, Vol. 103, No. 3, 08.12.1985, p. 341-356.

Research output: Contribution to journalArticle

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AU - Sinha, A.

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PY - 1985/12/8

Y1 - 1985/12/8

N2 - This paper deals with the stability of limit cycles (Steady-State Oscillations) associated with the multi-degree-of-freedom model of a frictionally damped and aerodynamically unstable rotor stage. By using the first order averaging technique, a generalized criterion has been established to sort out those unstable limit cycles which govern the maximum transient amplitude beyond which the rotor stage becomes unstable. The stability of the remaining steady-state solutions is analyzed by linearizing the averaged system of differential equations. Numerical results are discussed for three-, four- and five-bladed disks.

AB - This paper deals with the stability of limit cycles (Steady-State Oscillations) associated with the multi-degree-of-freedom model of a frictionally damped and aerodynamically unstable rotor stage. By using the first order averaging technique, a generalized criterion has been established to sort out those unstable limit cycles which govern the maximum transient amplitude beyond which the rotor stage becomes unstable. The stability of the remaining steady-state solutions is analyzed by linearizing the averaged system of differential equations. Numerical results are discussed for three-, four- and five-bladed disks.

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