Bifurcations and chaos in the response of a rigid rotor supported by eccentric squeeze-film dampers

Jawaid Iqbal Inayat Hussain, Hiroshi Kanki, Njuki W. Mureithi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In the unbalance response analysis of rotors supported by squeeze-film dampers with centering springs, the fluid-film forces are usually computed based on the assumption that the rotor exhibits a circular centered whirl orbit motion. The validity of this assumption is, however, limited to the ideal case of squeeze-film dampers with centering springs that are perfectly adjusted to offset the gravitational force. In most practical applications, eccentric operation of these dampers is almost unavoidable since precise setting of the centering springs in a real environment is usually not possible. In this paper the bifurcations in the response of a rigid rotor in eccentric squeeze-film dampers are investigated. The values of the bearing parameter (B), gravity parameter (W) and spring parameter (S) are respectively fixed at 0.015, 0.05 and 0.3, while the unbalance parameter (U) is varied from 0.05 to 0.8. The results indicated that the rotor might lose its stability due to period-doubling and saddle node bifurcations. Chaotic response of the rotor was also observed for 0.365< U <0.367 and 0.381<U <0.392. The transitions to chaos in these two regimes were respectively via the period-doubling and type 3 intermittency routes. The levels of rotor unbalance where non-synchronous and chaotic motions were observed in this study are only an order of magnitude higher than the specified levels for rigid rotors. Such levels of unbalance may easily occur in practice due to in-service or in the event of a partial or an entire blade loss.

Original languageEnglish
Title of host publicationProceedings of the ASME Design Engineering Technical Conference
Pages2293-2302
Number of pages10
Volume6 C
Publication statusPublished - 2001
Event18th Biennial Conference on Mechanical Vibration and Noise - Pittsburgh, PA, United States
Duration: 09 Sep 200112 Sep 2001

Other

Other18th Biennial Conference on Mechanical Vibration and Noise
CountryUnited States
CityPittsburgh, PA
Period09/09/0112/09/01

Fingerprint

Rigid rotors
Bifurcation and Chaos
Damper
Chaos theory
Rotor
Rotors
Period Doubling
Bearings (structural)
Saddle-node Bifurcation
Chaotic Motion
Gravitation
Orbits
Intermittency
Blade
Fluids
Gravity
Chaos
Bifurcation
Orbit
Entire

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Mechanical Engineering
  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design

Cite this

Inayat Hussain, J. I., Kanki, H., & Mureithi, N. W. (2001). Bifurcations and chaos in the response of a rigid rotor supported by eccentric squeeze-film dampers. In Proceedings of the ASME Design Engineering Technical Conference (Vol. 6 C, pp. 2293-2302)
Inayat Hussain, Jawaid Iqbal ; Kanki, Hiroshi ; Mureithi, Njuki W. / Bifurcations and chaos in the response of a rigid rotor supported by eccentric squeeze-film dampers. Proceedings of the ASME Design Engineering Technical Conference. Vol. 6 C 2001. pp. 2293-2302
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abstract = "In the unbalance response analysis of rotors supported by squeeze-film dampers with centering springs, the fluid-film forces are usually computed based on the assumption that the rotor exhibits a circular centered whirl orbit motion. The validity of this assumption is, however, limited to the ideal case of squeeze-film dampers with centering springs that are perfectly adjusted to offset the gravitational force. In most practical applications, eccentric operation of these dampers is almost unavoidable since precise setting of the centering springs in a real environment is usually not possible. In this paper the bifurcations in the response of a rigid rotor in eccentric squeeze-film dampers are investigated. The values of the bearing parameter (B), gravity parameter (W) and spring parameter (S) are respectively fixed at 0.015, 0.05 and 0.3, while the unbalance parameter (U) is varied from 0.05 to 0.8. The results indicated that the rotor might lose its stability due to period-doubling and saddle node bifurcations. Chaotic response of the rotor was also observed for 0.365< U <0.367 and 0.381<U <0.392. The transitions to chaos in these two regimes were respectively via the period-doubling and type 3 intermittency routes. The levels of rotor unbalance where non-synchronous and chaotic motions were observed in this study are only an order of magnitude higher than the specified levels for rigid rotors. Such levels of unbalance may easily occur in practice due to in-service or in the event of a partial or an entire blade loss.",
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Inayat Hussain, JI, Kanki, H & Mureithi, NW 2001, Bifurcations and chaos in the response of a rigid rotor supported by eccentric squeeze-film dampers. in Proceedings of the ASME Design Engineering Technical Conference. vol. 6 C, pp. 2293-2302, 18th Biennial Conference on Mechanical Vibration and Noise, Pittsburgh, PA, United States, 09/09/01.

Bifurcations and chaos in the response of a rigid rotor supported by eccentric squeeze-film dampers. / Inayat Hussain, Jawaid Iqbal; Kanki, Hiroshi; Mureithi, Njuki W.

Proceedings of the ASME Design Engineering Technical Conference. Vol. 6 C 2001. p. 2293-2302.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Inayat Hussain JI, Kanki H, Mureithi NW. Bifurcations and chaos in the response of a rigid rotor supported by eccentric squeeze-film dampers. In Proceedings of the ASME Design Engineering Technical Conference. Vol. 6 C. 2001. p. 2293-2302