Synchronous whirl mode maps for rotor vibration with stator interaction across clearance annuli in multiple planes

M.O.T. Cole, T. Wongratanaphisan

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

For rotating machines having rotor-stator structures with non-linear stiffness characteristics or finite clearances between rotor and stator parts, there can be a multiplicity of possible vibration behaviours for any given operating speed. When the dynamic characteristics of the machine structure possess rotational symmetry, possible vibration modes arising due to unbalance can be calculated exactly from the frequency response of the structure. This study extends current theory by considering systems for which rotor-stator contact interaction may occur in multiple transverse planes. Damping and friction effects arising from contact mechanics are also accounted for. The model equations can be used to compute a complete set of vibration solutions involving circular whirl and thereby establish parametric regions where a low amplitude whirl can transgress to a high amplitude one with rotor-stator contact in one or more planes. Experimentally identified whirl modes for a flexible rotor system interacting with two clearance bearings show a good correlation with the theoretical predictions and thus indicate the suitability of the approach as a tool for prediction and design. The results are pertinent to the design of magnetic bearing and auxiliary bearing systems but are also relevant to a wide range of machines where rotor vibration may exceed clearance limits or boundaries of linearity.
Original languageEnglish
Pages (from-to)261-275
Number of pages15
JournalProceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
Volume227
Issue number2
Early online date24 May 2012
DOIs
Publication statusPublished - Feb 2013

Fingerprint

Stators
Rotors
Bearings (structural)
Magnetic bearings
Frequency response
Mechanics
Damping
Stiffness
Friction

Cite this

@article{7c50a622948c4522b1537b7804856ea1,
title = "Synchronous whirl mode maps for rotor vibration with stator interaction across clearance annuli in multiple planes",
abstract = "For rotating machines having rotor-stator structures with non-linear stiffness characteristics or finite clearances between rotor and stator parts, there can be a multiplicity of possible vibration behaviours for any given operating speed. When the dynamic characteristics of the machine structure possess rotational symmetry, possible vibration modes arising due to unbalance can be calculated exactly from the frequency response of the structure. This study extends current theory by considering systems for which rotor-stator contact interaction may occur in multiple transverse planes. Damping and friction effects arising from contact mechanics are also accounted for. The model equations can be used to compute a complete set of vibration solutions involving circular whirl and thereby establish parametric regions where a low amplitude whirl can transgress to a high amplitude one with rotor-stator contact in one or more planes. Experimentally identified whirl modes for a flexible rotor system interacting with two clearance bearings show a good correlation with the theoretical predictions and thus indicate the suitability of the approach as a tool for prediction and design. The results are pertinent to the design of magnetic bearing and auxiliary bearing systems but are also relevant to a wide range of machines where rotor vibration may exceed clearance limits or boundaries of linearity.",
author = "M.O.T. Cole and T. Wongratanaphisan",
year = "2013",
month = "2",
doi = "10.1177/0954406212448342",
language = "English",
volume = "227",
pages = "261--275",
journal = "Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science",
issn = "0954-4062",
publisher = "Sage Publications",
number = "2",

}

TY - JOUR

T1 - Synchronous whirl mode maps for rotor vibration with stator interaction across clearance annuli in multiple planes

AU - Cole, M.O.T.

AU - Wongratanaphisan, T.

PY - 2013/2

Y1 - 2013/2

N2 - For rotating machines having rotor-stator structures with non-linear stiffness characteristics or finite clearances between rotor and stator parts, there can be a multiplicity of possible vibration behaviours for any given operating speed. When the dynamic characteristics of the machine structure possess rotational symmetry, possible vibration modes arising due to unbalance can be calculated exactly from the frequency response of the structure. This study extends current theory by considering systems for which rotor-stator contact interaction may occur in multiple transverse planes. Damping and friction effects arising from contact mechanics are also accounted for. The model equations can be used to compute a complete set of vibration solutions involving circular whirl and thereby establish parametric regions where a low amplitude whirl can transgress to a high amplitude one with rotor-stator contact in one or more planes. Experimentally identified whirl modes for a flexible rotor system interacting with two clearance bearings show a good correlation with the theoretical predictions and thus indicate the suitability of the approach as a tool for prediction and design. The results are pertinent to the design of magnetic bearing and auxiliary bearing systems but are also relevant to a wide range of machines where rotor vibration may exceed clearance limits or boundaries of linearity.

AB - For rotating machines having rotor-stator structures with non-linear stiffness characteristics or finite clearances between rotor and stator parts, there can be a multiplicity of possible vibration behaviours for any given operating speed. When the dynamic characteristics of the machine structure possess rotational symmetry, possible vibration modes arising due to unbalance can be calculated exactly from the frequency response of the structure. This study extends current theory by considering systems for which rotor-stator contact interaction may occur in multiple transverse planes. Damping and friction effects arising from contact mechanics are also accounted for. The model equations can be used to compute a complete set of vibration solutions involving circular whirl and thereby establish parametric regions where a low amplitude whirl can transgress to a high amplitude one with rotor-stator contact in one or more planes. Experimentally identified whirl modes for a flexible rotor system interacting with two clearance bearings show a good correlation with the theoretical predictions and thus indicate the suitability of the approach as a tool for prediction and design. The results are pertinent to the design of magnetic bearing and auxiliary bearing systems but are also relevant to a wide range of machines where rotor vibration may exceed clearance limits or boundaries of linearity.

UR - http://www.scopus.com/inward/record.url?scp=84880557036&partnerID=8YFLogxK

U2 - 10.1177/0954406212448342

DO - 10.1177/0954406212448342

M3 - Article

VL - 227

SP - 261

EP - 275

JO - Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science

JF - Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science

SN - 0954-4062

IS - 2

ER -