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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MDPI AG
2021-12-01
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Series: | Machines |
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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. |
first_indexed | 2024-03-10T03:42:16Z |
format | Article |
id | doaj.art-b0f5ea98c9d64ef2b213c3b711905e0b |
institution | Directory Open Access Journal |
issn | 2075-1702 |
language | English |
last_indexed | 2024-03-10T03:42:16Z |
publishDate | 2021-12-01 |
publisher | MDPI AG |
record_format | Article |
series | Machines |
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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