Speed-Dependent Eigenmodes for Efficient Simulation of Transverse Rotor Vibration

Accurate, computationally efficient simulations enable engineers to design high-performing, cost-efficient, lightweight machines that can leverage models of predictive controls and digital twin predictive maintenance schedules. This study demonstrates a new speed-dependent eigenmode method for accur...

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Main Authors: Jocelyn Kluger, Lynn Crevier, Martin Udengaard
Format: Article
Language:English
Published: MDPI AG 2022-10-01
Series:Vibration
Subjects:
Online Access:https://www.mdpi.com/2571-631X/5/4/43
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author Jocelyn Kluger
Lynn Crevier
Martin Udengaard
author_facet Jocelyn Kluger
Lynn Crevier
Martin Udengaard
author_sort Jocelyn Kluger
collection DOAJ
description Accurate, computationally efficient simulations enable engineers to design high-performing, cost-efficient, lightweight machines that can leverage models of predictive controls and digital twin predictive maintenance schedules. This study demonstrates a new speed-dependent eigenmode method for accurately and efficiently simulating shaft transverse vibrations. The method involves first independently computing shaft eigenmodes over a range of operating speeds, then correlating the eigenmodes across the different speeds during compilation, and finally adjusting modal properties gradually in accordance with a lookup method during simulation. The new method offers several distinct advantages over the traditional static eigenmodes and Craig-Bampton methods. The new method maintains accuracy over a large range of shaft rotation speeds whereas the static eigenmodes method does not. The new method typically requires fewer modal degrees of freedom than the Craig-Bampton method. Whereas the Craig-Bampton method is limited to modeling changes at the boundaries, the new method is suitable for modeling changing body properties as well as boundary-based changes. For this paper, a fluid-bearing-supported 10 MW direct-drive wind turbine drive shaft is tested virtually in a simulation model developed in Simscape™ Driveline™. Using the simulation statistics, this study compares the accuracy and computational efficiency of the speed-dependent eigenmode method to the traditional finite lumped element, static eigenmode, and Craig–Bampton methods. This paper shows that the new method simulates the chosen system 5 times faster than the traditional lumped mass method and 2.4 times faster than the Craig-Bampton method.
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spelling doaj.art-d532225a21d844c286d580b227f9a8cf2023-11-24T18:35:54ZengMDPI AGVibration2571-631X2022-10-015473275410.3390/vibration5040043Speed-Dependent Eigenmodes for Efficient Simulation of Transverse Rotor VibrationJocelyn Kluger0Lynn Crevier1Martin Udengaard2MathWorks, Natick, MA 01760, USAaPriori Technologies, Concord, MA 01742, USAMathWorks, Natick, MA 01760, USAAccurate, computationally efficient simulations enable engineers to design high-performing, cost-efficient, lightweight machines that can leverage models of predictive controls and digital twin predictive maintenance schedules. This study demonstrates a new speed-dependent eigenmode method for accurately and efficiently simulating shaft transverse vibrations. The method involves first independently computing shaft eigenmodes over a range of operating speeds, then correlating the eigenmodes across the different speeds during compilation, and finally adjusting modal properties gradually in accordance with a lookup method during simulation. The new method offers several distinct advantages over the traditional static eigenmodes and Craig-Bampton methods. The new method maintains accuracy over a large range of shaft rotation speeds whereas the static eigenmodes method does not. The new method typically requires fewer modal degrees of freedom than the Craig-Bampton method. Whereas the Craig-Bampton method is limited to modeling changes at the boundaries, the new method is suitable for modeling changing body properties as well as boundary-based changes. For this paper, a fluid-bearing-supported 10 MW direct-drive wind turbine drive shaft is tested virtually in a simulation model developed in Simscape™ Driveline™. Using the simulation statistics, this study compares the accuracy and computational efficiency of the speed-dependent eigenmode method to the traditional finite lumped element, static eigenmode, and Craig–Bampton methods. This paper shows that the new method simulates the chosen system 5 times faster than the traditional lumped mass method and 2.4 times faster than the Craig-Bampton method.https://www.mdpi.com/2571-631X/5/4/43modal analysismodel order reductionreal-time simulationrotor dynamicsvibration
spellingShingle Jocelyn Kluger
Lynn Crevier
Martin Udengaard
Speed-Dependent Eigenmodes for Efficient Simulation of Transverse Rotor Vibration
Vibration
modal analysis
model order reduction
real-time simulation
rotor dynamics
vibration
title Speed-Dependent Eigenmodes for Efficient Simulation of Transverse Rotor Vibration
title_full Speed-Dependent Eigenmodes for Efficient Simulation of Transverse Rotor Vibration
title_fullStr Speed-Dependent Eigenmodes for Efficient Simulation of Transverse Rotor Vibration
title_full_unstemmed Speed-Dependent Eigenmodes for Efficient Simulation of Transverse Rotor Vibration
title_short Speed-Dependent Eigenmodes for Efficient Simulation of Transverse Rotor Vibration
title_sort speed dependent eigenmodes for efficient simulation of transverse rotor vibration
topic modal analysis
model order reduction
real-time simulation
rotor dynamics
vibration
url https://www.mdpi.com/2571-631X/5/4/43
work_keys_str_mv AT jocelynkluger speeddependenteigenmodesforefficientsimulationoftransverserotorvibration
AT lynncrevier speeddependenteigenmodesforefficientsimulationoftransverserotorvibration
AT martinudengaard speeddependenteigenmodesforefficientsimulationoftransverserotorvibration