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

A. Sinha; J. H. Griffin

doi:10.1016/0022-460X(85)90427-4

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

A. Sinha, J. H. Griffin

Research output: Contribution to journal › Article › peer-review

28 Scopus citations

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 language	English (US)
Pages (from-to)	341-356
Number of pages	16
Journal	Journal of Sound and Vibration
Volume	103
Issue number	3
DOIs	https://doi.org/10.1016/0022-460X(85)90427-4
State	Published - Dec 8 1985

All Science Journal Classification (ASJC) codes

Condensed Matter Physics
Mechanics of Materials
Acoustics and Ultrasonics
Mechanical Engineering

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10.1016/0022-460X(85)90427-4

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title = "Stability of limit cycles in frictionally damped and aerodynamically unstable rotor stages",

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.",

author = "A. Sinha and Griffin, {J. H.}",

note = "Funding Information: This work was supported by NASA Grant NAG 3-231. the authors wish to thank Dr R. E. Kielb of NASA Lewis for his assistance.",

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T1 - Stability of limit cycles in frictionally damped and aerodynamically unstable rotor stages

AU - Sinha, A.

AU - Griffin, J. H.

N1 - Funding Information: This work was supported by NASA Grant NAG 3-231. the authors wish to thank Dr R. E. Kielb of NASA Lewis for his assistance.

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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VL - 103

SP - 341

EP - 356

JO - Journal of Sound and Vibration

JF - Journal of Sound and Vibration

IS - 3

ER -

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

Abstract

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