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A novel semi-analytical method for the dynamics of nonlinear rotor-bearing systems.

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Title: A novel semi-analytical method for the dynamics of nonlinear rotor-bearing systems.
Authors: Chasalevris, Athanasios1, Papadopoulos, Chris2 chris.papadopoulos@mech.upatras.gr
Source: Mechanism & Machine Theory. Feb2014, Vol. 72, p39-59. 21p.
Subjects: Nonlinear analysis, Rotor dynamics, Simulation methods & models, Boundary value problems, Fluid dynamics
Abstract: Abstract: A semi-analytical simulation of a rotor bearing system that consisted of a multi-segment continuous rotor and plain fluid film bearings with finite length is developed in this paper in order to investigate the system's response under the current proposal of simulation. The rotor is simulated using the continuous medium theory and the bearings with finite length follow a very recent analytical simulation that incorporates the analytical solution of the Reynolds equation for the plain, finite journal bearing. The boundary conditions combine the rotor's shearing force and the fluid film forces at the points where the bearings are located, which are expressed analytically with direct integration of the pressure distribution function. A case study of simulating a multi-segment shaft is used in order to compare the current simulation with corresponding simulations using continuous rotor mounted on linear bearings, or finite bearings numerically simulated using the finite difference method. The time response, the amplitude of the response and the phase during passage through resonance are evaluated for these three cases of bearing simulation using numerical procedures and the differences are notified and remarked. [Copyright &y& Elsevier]
Copyright of Mechanism & Machine Theory is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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Header DbId: egs
DbLabel: Engineering Source
An: 91970400
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
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  Data: A novel semi-analytical method for the dynamics of nonlinear rotor-bearing systems.
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  Data: <searchLink fieldCode="AR" term="%22Chasalevris%2C+Athanasios%22">Chasalevris, Athanasios</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Papadopoulos%2C+Chris%22">Papadopoulos, Chris</searchLink><relatesTo>2</relatesTo><i> chris.papadopoulos@mech.upatras.gr</i>
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  Data: <searchLink fieldCode="JN" term="%22Mechanism+%26+Machine+Theory%22">Mechanism & Machine Theory</searchLink>. Feb2014, Vol. 72, p39-59. 21p.
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  Data: <searchLink fieldCode="DE" term="%22Nonlinear+analysis%22">Nonlinear analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Rotor+dynamics%22">Rotor dynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Simulation+methods+%26+models%22">Simulation methods & models</searchLink><br /><searchLink fieldCode="DE" term="%22Boundary+value+problems%22">Boundary value problems</searchLink><br /><searchLink fieldCode="DE" term="%22Fluid+dynamics%22">Fluid dynamics</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Abstract: A semi-analytical simulation of a rotor bearing system that consisted of a multi-segment continuous rotor and plain fluid film bearings with finite length is developed in this paper in order to investigate the system's response under the current proposal of simulation. The rotor is simulated using the continuous medium theory and the bearings with finite length follow a very recent analytical simulation that incorporates the analytical solution of the Reynolds equation for the plain, finite journal bearing. The boundary conditions combine the rotor's shearing force and the fluid film forces at the points where the bearings are located, which are expressed analytically with direct integration of the pressure distribution function. A case study of simulating a multi-segment shaft is used in order to compare the current simulation with corresponding simulations using continuous rotor mounted on linear bearings, or finite bearings numerically simulated using the finite difference method. The time response, the amplitude of the response and the phase during passage through resonance are evaluated for these three cases of bearing simulation using numerical procedures and the differences are notified and remarked. [Copyright &y& Elsevier]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Mechanism & Machine Theory is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1016/j.mechmachtheory.2013.09.014
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 21
        StartPage: 39
    Subjects:
      – SubjectFull: Nonlinear analysis
        Type: general
      – SubjectFull: Rotor dynamics
        Type: general
      – SubjectFull: Simulation methods & models
        Type: general
      – SubjectFull: Boundary value problems
        Type: general
      – SubjectFull: Fluid dynamics
        Type: general
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      – TitleFull: A novel semi-analytical method for the dynamics of nonlinear rotor-bearing systems.
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              Text: Feb2014
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              Y: 2014
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              Value: 72
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            – TitleFull: Mechanism & Machine Theory
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