On the Discrete–Continuous Modeling of Rotor Systems for the Analysis of Coupled Lateral Torsional Vibrations

In the paper, dynamic investigations of the rotor shaft systems are performed by means of the discrete-continuous mechanical models. In these models the rotor shaft segments are represented by the rotating cylindrical flexurally and torsionally deformable continuous viscoelastic elements. These elem...

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Main Author: Tomasz Szolc
Format: Article
Language:English
Published: Wiley 2000-01-01
Series:International Journal of Rotating Machinery
Subjects:
Online Access:http://dx.doi.org/10.1155/S1023621X00000130
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author Tomasz Szolc
author_facet Tomasz Szolc
author_sort Tomasz Szolc
collection DOAJ
description In the paper, dynamic investigations of the rotor shaft systems are performed by means of the discrete-continuous mechanical models. In these models the rotor shaft segments are represented by the rotating cylindrical flexurally and torsionally deformable continuous viscoelastic elements. These elements are mutually connected according to the structure of the real system in the form of a stepped shaft which is suspended on concentrated inertial viscoelastic supports of linear or non-linear characteristics. At appropriate shaft crosssections, by means of massless membranes, there are attached rigid rings representing rotors, disks, gears, flywheels and others. The proposed model enables us to investigate coupled linear or non-linear lateral torsional Vibrations of the rotating systems in steady-state and transient operating conditions. As demonstrative examples, for the steam turbo-compressor under coupled lateral torsional vibrations, the transient response due to a blade falling out from the turbine rotor as well as the steady-state response in the form of parametric resonance caused by residual unbalances are presented.
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spelling doaj-art-7d9d9eade9e54519a8f775d624b3869e2025-02-03T06:10:52ZengWileyInternational Journal of Rotating Machinery1023-621X2000-01-016213514910.1155/S1023621X00000130On the Discrete–Continuous Modeling of Rotor Systems for the Analysis of Coupled Lateral Torsional VibrationsTomasz Szolc0Institute of Fundamental Technological Research, ul. Świętokrzyska 21, Warsaw PL-O0-049, PolandIn the paper, dynamic investigations of the rotor shaft systems are performed by means of the discrete-continuous mechanical models. In these models the rotor shaft segments are represented by the rotating cylindrical flexurally and torsionally deformable continuous viscoelastic elements. These elements are mutually connected according to the structure of the real system in the form of a stepped shaft which is suspended on concentrated inertial viscoelastic supports of linear or non-linear characteristics. At appropriate shaft crosssections, by means of massless membranes, there are attached rigid rings representing rotors, disks, gears, flywheels and others. The proposed model enables us to investigate coupled linear or non-linear lateral torsional Vibrations of the rotating systems in steady-state and transient operating conditions. As demonstrative examples, for the steam turbo-compressor under coupled lateral torsional vibrations, the transient response due to a blade falling out from the turbine rotor as well as the steady-state response in the form of parametric resonance caused by residual unbalances are presented.http://dx.doi.org/10.1155/S1023621X00000130Rotating machinery dynamicsDiscrete-continuous modelNon-linear and parametric lateral torsional vibrationsNumerical simulation.
spellingShingle Tomasz Szolc
On the Discrete–Continuous Modeling of Rotor Systems for the Analysis of Coupled Lateral Torsional Vibrations
International Journal of Rotating Machinery
Rotating machinery dynamics
Discrete-continuous model
Non-linear and parametric lateral torsional vibrations
Numerical simulation.
title On the Discrete–Continuous Modeling of Rotor Systems for the Analysis of Coupled Lateral Torsional Vibrations
title_full On the Discrete–Continuous Modeling of Rotor Systems for the Analysis of Coupled Lateral Torsional Vibrations
title_fullStr On the Discrete–Continuous Modeling of Rotor Systems for the Analysis of Coupled Lateral Torsional Vibrations
title_full_unstemmed On the Discrete–Continuous Modeling of Rotor Systems for the Analysis of Coupled Lateral Torsional Vibrations
title_short On the Discrete–Continuous Modeling of Rotor Systems for the Analysis of Coupled Lateral Torsional Vibrations
title_sort on the discrete continuous modeling of rotor systems for the analysis of coupled lateral torsional vibrations
topic Rotating machinery dynamics
Discrete-continuous model
Non-linear and parametric lateral torsional vibrations
Numerical simulation.
url http://dx.doi.org/10.1155/S1023621X00000130
work_keys_str_mv AT tomaszszolc onthediscretecontinuousmodelingofrotorsystemsfortheanalysisofcoupledlateraltorsionalvibrations