On Using the Transfer Matrix Formulation for Transient Analysis of Nonlinear Rotor Bearing Systems

For many years transfer matrices have been used to evaluate the steady-state vibration response of linear rotor bearing systems. More recently, they have been used to evaluate the steady-state periodic vibration response of nonlinear rotor bearing systems. For quasi-periodic and chaotic response, a...

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Main Authors: A. Liew, N. S. Feng, E. J. Hahn
Format: Article
Language:English
Published: Wiley 2004-01-01
Series:International Journal of Rotating Machinery
Online Access:http://dx.doi.org/10.1155/S1023621X04000429
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author A. Liew
N. S. Feng
E. J. Hahn
author_facet A. Liew
N. S. Feng
E. J. Hahn
author_sort A. Liew
collection DOAJ
description For many years transfer matrices have been used to evaluate the steady-state vibration response of linear rotor bearing systems. More recently, they have been used to evaluate the steady-state periodic vibration response of nonlinear rotor bearing systems. For quasi-periodic and chaotic response, a transient solution is mandated and transient solution software can also be gainfully used to evaluate the stability of the above-mentioned periodic solutions. To date, transient solutions generally necessitate a different lumped parameter discretization of the rotor and involve solving simultaneously the differential equations for every degree of freedom. This article shows how transient analysis can be performed while maintaining the transfer matrix lumped parameter discretization. The technique is illustrated for a non symmetric unbalanced flexible rotor supported on hydrodynamic journal bearings or deep-groove ball bearings.
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series International Journal of Rotating Machinery
spelling doaj-art-c2d061f80ee84e0cbcdfad6447ad4f3a2025-08-20T03:04:51ZengWileyInternational Journal of Rotating Machinery1023-621X2004-01-0110642543110.1155/S1023621X04000429On Using the Transfer Matrix Formulation for Transient Analysis of Nonlinear Rotor Bearing SystemsA. Liew0N. S. Feng1E. J. Hahn2School of Mechanical and Manufacturing Engineering, University of New South Wales, Sydney, AustraliaSchool of Mechanical and Manufacturing Engineering, University of New South Wales, Sydney, AustraliaSchool of Mechanical and Manufacturing Engineering, University of New South Wales, Sydney, AustraliaFor many years transfer matrices have been used to evaluate the steady-state vibration response of linear rotor bearing systems. More recently, they have been used to evaluate the steady-state periodic vibration response of nonlinear rotor bearing systems. For quasi-periodic and chaotic response, a transient solution is mandated and transient solution software can also be gainfully used to evaluate the stability of the above-mentioned periodic solutions. To date, transient solutions generally necessitate a different lumped parameter discretization of the rotor and involve solving simultaneously the differential equations for every degree of freedom. This article shows how transient analysis can be performed while maintaining the transfer matrix lumped parameter discretization. The technique is illustrated for a non symmetric unbalanced flexible rotor supported on hydrodynamic journal bearings or deep-groove ball bearings.http://dx.doi.org/10.1155/S1023621X04000429
spellingShingle A. Liew
N. S. Feng
E. J. Hahn
On Using the Transfer Matrix Formulation for Transient Analysis of Nonlinear Rotor Bearing Systems
International Journal of Rotating Machinery
title On Using the Transfer Matrix Formulation for Transient Analysis of Nonlinear Rotor Bearing Systems
title_full On Using the Transfer Matrix Formulation for Transient Analysis of Nonlinear Rotor Bearing Systems
title_fullStr On Using the Transfer Matrix Formulation for Transient Analysis of Nonlinear Rotor Bearing Systems
title_full_unstemmed On Using the Transfer Matrix Formulation for Transient Analysis of Nonlinear Rotor Bearing Systems
title_short On Using the Transfer Matrix Formulation for Transient Analysis of Nonlinear Rotor Bearing Systems
title_sort on using the transfer matrix formulation for transient analysis of nonlinear rotor bearing systems
url http://dx.doi.org/10.1155/S1023621X04000429
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AT nsfeng onusingthetransfermatrixformulationfortransientanalysisofnonlinearrotorbearingsystems
AT ejhahn onusingthetransfermatrixformulationfortransientanalysisofnonlinearrotorbearingsystems