Approximation of Non-Linear Rotor Dynamic Resonance Behavior of Vertically Aligned Hydro-Units Guided by Tilting-Pad Bearings

Dynamic analyses of vertical hydro power plant rotors require the consideration of the non-linear bearing characteristics. This study investigates the vibrational behavior of a typical vertical machine using a time integration method that considers non-linear bearing forces. Thereby, the influence o...

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Main Authors: Daniel Vetter, Thomas Hagemann, Andreas Schubert, Hubert Schwarze
Format: Article
Language:English
Published: MDPI AG 2021-12-01
Series:Machines
Subjects:
Online Access:https://www.mdpi.com/2075-1702/9/12/334
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author Daniel Vetter
Thomas Hagemann
Andreas Schubert
Hubert Schwarze
author_facet Daniel Vetter
Thomas Hagemann
Andreas Schubert
Hubert Schwarze
author_sort Daniel Vetter
collection DOAJ
description Dynamic analyses of vertical hydro power plant rotors require the consideration of the non-linear bearing characteristics. This study investigates the vibrational behavior of a typical vertical machine using a time integration method that considers non-linear bearing forces. Thereby, the influence of support stiffness and unbalance magnitude is examined. The results show a rising influence of unbalance on resonance speed with increasing support stiffness. Furthermore, simulations reveal that the shaft orbit in the bearing is nearly circular for typical design constellations. This property is applied to derive a novel approximation procedure enabling the examination of non-linear resonance behavior, using linear rotor dynamic theory. The procedure considers the dynamic film pressure for determining the pad position. In addition, it is time-efficient compared to a time integration method, especially at high amplitudes when damping becomes small.
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spelling doaj.art-b0f5ea98c9d64ef2b213c3b711905e0b2023-11-23T09:16:43ZengMDPI AGMachines2075-17022021-12-0191233410.3390/machines9120334Approximation of Non-Linear Rotor Dynamic Resonance Behavior of Vertically Aligned Hydro-Units Guided by Tilting-Pad BearingsDaniel Vetter0Thomas Hagemann1Andreas Schubert2Hubert Schwarze3Institute of Tribology and Energy Conversion Machinery, Clausthal University of Technology, 38678 Clausthal-Zellerfeld, GermanyInstitute of Tribology and Energy Conversion Machinery, Clausthal University of Technology, 38678 Clausthal-Zellerfeld, GermanyG+R-S Bearings + Rotor Dynamics, 74523 Schwäbisch Hall, GermanyInstitute of Tribology and Energy Conversion Machinery, Clausthal University of Technology, 38678 Clausthal-Zellerfeld, GermanyDynamic analyses of vertical hydro power plant rotors require the consideration of the non-linear bearing characteristics. This study investigates the vibrational behavior of a typical vertical machine using a time integration method that considers non-linear bearing forces. Thereby, the influence of support stiffness and unbalance magnitude is examined. The results show a rising influence of unbalance on resonance speed with increasing support stiffness. Furthermore, simulations reveal that the shaft orbit in the bearing is nearly circular for typical design constellations. This property is applied to derive a novel approximation procedure enabling the examination of non-linear resonance behavior, using linear rotor dynamic theory. The procedure considers the dynamic film pressure for determining the pad position. In addition, it is time-efficient compared to a time integration method, especially at high amplitudes when damping becomes small.https://www.mdpi.com/2075-1702/9/12/334tilting-pad bearingrotor dynamicsvertical rotorhydroelectric power plant rotornon-linear bearing forcesnon-linear rotor resonance behavior
spellingShingle Daniel Vetter
Thomas Hagemann
Andreas Schubert
Hubert Schwarze
Approximation of Non-Linear Rotor Dynamic Resonance Behavior of Vertically Aligned Hydro-Units Guided by Tilting-Pad Bearings
Machines
tilting-pad bearing
rotor dynamics
vertical rotor
hydroelectric power plant rotor
non-linear bearing forces
non-linear rotor resonance behavior
title Approximation of Non-Linear Rotor Dynamic Resonance Behavior of Vertically Aligned Hydro-Units Guided by Tilting-Pad Bearings
title_full Approximation of Non-Linear Rotor Dynamic Resonance Behavior of Vertically Aligned Hydro-Units Guided by Tilting-Pad Bearings
title_fullStr Approximation of Non-Linear Rotor Dynamic Resonance Behavior of Vertically Aligned Hydro-Units Guided by Tilting-Pad Bearings
title_full_unstemmed Approximation of Non-Linear Rotor Dynamic Resonance Behavior of Vertically Aligned Hydro-Units Guided by Tilting-Pad Bearings
title_short Approximation of Non-Linear Rotor Dynamic Resonance Behavior of Vertically Aligned Hydro-Units Guided by Tilting-Pad Bearings
title_sort approximation of non linear rotor dynamic resonance behavior of vertically aligned hydro units guided by tilting pad bearings
topic tilting-pad bearing
rotor dynamics
vertical rotor
hydroelectric power plant rotor
non-linear bearing forces
non-linear rotor resonance behavior
url https://www.mdpi.com/2075-1702/9/12/334
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AT andreasschubert approximationofnonlinearrotordynamicresonancebehaviorofverticallyalignedhydrounitsguidedbytiltingpadbearings
AT hubertschwarze approximationofnonlinearrotordynamicresonancebehaviorofverticallyalignedhydrounitsguidedbytiltingpadbearings