Non-linear dynamic interactions of a Jeffcott rotor with preloaded snubber ring

Research output: Contribution to journalArticle

54 Citations (Scopus)

Abstract

A two-degrees-of-freedom model of a Jeffcott rotor with a preloaded snubber ring subjected to out-of-balance excitation has been developed. The purely impact interactions have been investigated. The rotor makes intermittent contacts with the preloaded snubber ring and as a consequence it can be in one of five different contact regimes, which boundaries have been found analytically. The current location of the snubber ring has been determined using the principle of the minimum elastic energy in the snubber ring. Consequently a non-linear piecewise smooth dynamical system has been obtained and studied numerically. The results in form of bifurcation diagrams, phase portraits and Poincare maps show significant differences for the cases with and without preloading. (C) 2003 Elsevier Ltd. All rights reserved.

Original languageEnglish
Pages (from-to)361-379
Number of pages18
JournalJournal of Sound and Vibration
Volume276
Issue number1-2
DOIs
Publication statusPublished - Sep 2004

Keywords

  • harmonic-balance method
  • rotor/stator contact
  • stator systems
  • bifurcation
  • vibrations
  • stability
  • behavior
  • chaos
  • rubs

Cite this

Non-linear dynamic interactions of a Jeffcott rotor with preloaded snubber ring. / Pavlovskaia, Ekaterina Evgenievna; Karpenko, E. V.; Wiercigroch, Marian.

In: Journal of Sound and Vibration, Vol. 276, No. 1-2, 09.2004, p. 361-379.

Research output: Contribution to journalArticle

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abstract = "A two-degrees-of-freedom model of a Jeffcott rotor with a preloaded snubber ring subjected to out-of-balance excitation has been developed. The purely impact interactions have been investigated. The rotor makes intermittent contacts with the preloaded snubber ring and as a consequence it can be in one of five different contact regimes, which boundaries have been found analytically. The current location of the snubber ring has been determined using the principle of the minimum elastic energy in the snubber ring. Consequently a non-linear piecewise smooth dynamical system has been obtained and studied numerically. The results in form of bifurcation diagrams, phase portraits and Poincare maps show significant differences for the cases with and without preloading. (C) 2003 Elsevier Ltd. All rights reserved.",
keywords = "harmonic-balance method, rotor/stator contact, stator systems, bifurcation, vibrations, stability, behavior, chaos, rubs",
author = "Pavlovskaia, {Ekaterina Evgenievna} and Karpenko, {E. V.} and Marian Wiercigroch",
note = "The financial support provided by EPSRC, Rolls-Royce plc. and ORS award scheme is gratefully acknowledged.",
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T1 - Non-linear dynamic interactions of a Jeffcott rotor with preloaded snubber ring

AU - Pavlovskaia, Ekaterina Evgenievna

AU - Karpenko, E. V.

AU - Wiercigroch, Marian

N1 - The financial support provided by EPSRC, Rolls-Royce plc. and ORS award scheme is gratefully acknowledged.

PY - 2004/9

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N2 - A two-degrees-of-freedom model of a Jeffcott rotor with a preloaded snubber ring subjected to out-of-balance excitation has been developed. The purely impact interactions have been investigated. The rotor makes intermittent contacts with the preloaded snubber ring and as a consequence it can be in one of five different contact regimes, which boundaries have been found analytically. The current location of the snubber ring has been determined using the principle of the minimum elastic energy in the snubber ring. Consequently a non-linear piecewise smooth dynamical system has been obtained and studied numerically. The results in form of bifurcation diagrams, phase portraits and Poincare maps show significant differences for the cases with and without preloading. (C) 2003 Elsevier Ltd. All rights reserved.

AB - A two-degrees-of-freedom model of a Jeffcott rotor with a preloaded snubber ring subjected to out-of-balance excitation has been developed. The purely impact interactions have been investigated. The rotor makes intermittent contacts with the preloaded snubber ring and as a consequence it can be in one of five different contact regimes, which boundaries have been found analytically. The current location of the snubber ring has been determined using the principle of the minimum elastic energy in the snubber ring. Consequently a non-linear piecewise smooth dynamical system has been obtained and studied numerically. The results in form of bifurcation diagrams, phase portraits and Poincare maps show significant differences for the cases with and without preloading. (C) 2003 Elsevier Ltd. All rights reserved.

KW - harmonic-balance method

KW - rotor/stator contact

KW - stator systems

KW - bifurcation

KW - vibrations

KW - stability

KW - behavior

KW - chaos

KW - rubs

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DO - 10.1016/j.jsv.2003.07.033

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JO - Journal of Sound and Vibration

JF - Journal of Sound and Vibration

SN - 0022-460X

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