Vibration analysis of a cylindrical rotor partially filled with liquid considering nonlinearity of liquid motion

The vibration of a cylindrical rotor partially filled with liquid is analyzed by a semianalytical method allowing for all nonlinear terms and arbitrary liquid depth. The method is verified by comparing with earlier experimental results and the nonlinear mechanism is examined that causes transition f...

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Autor principal: Masahiko UTSUMI
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Lenguaje:EN
Publicado: The Japan Society of Mechanical Engineers 2020
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Acceso en línea:https://doaj.org/article/f2730aa2eb1c4a2995932008e6f473af
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spelling oai:doaj.org-article:f2730aa2eb1c4a2995932008e6f473af2021-11-29T05:59:27ZVibration analysis of a cylindrical rotor partially filled with liquid considering nonlinearity of liquid motion2187-974510.1299/mej.19-00554https://doaj.org/article/f2730aa2eb1c4a2995932008e6f473af2020-06-01T00:00:00Zhttps://www.jstage.jst.go.jp/article/mej/7/4/7_19-00554/_pdf/-char/enhttps://doaj.org/toc/2187-9745The vibration of a cylindrical rotor partially filled with liquid is analyzed by a semianalytical method allowing for all nonlinear terms and arbitrary liquid depth. The method is verified by comparing with earlier experimental results and the nonlinear mechanism is examined that causes transition from unstable response to stable vibration. The examination shows that the transition arises from the nonlinearity of the kinematic boundary condition on the liquid surface. A closed loop mechanism is introduced to explain why the vibration suppression effect of nonlinearity in one boundary condition results in stabilization of the whole system. The case with larger dimensionless liquid depth is also addressed. Studies for this case were relatively scarce because many earlier studies were based on shallow water approximation.Masahiko UTSUMIThe Japan Society of Mechanical Engineersarticlefluid induced vibrationrotor partially filled with liquidsloshingnonlinear vibrationvibration coupled with fluid motionsemianalytical methodMechanical engineering and machineryTJ1-1570ENMechanical Engineering Journal, Vol 7, Iss 4, Pp 19-00554-19-00554 (2020)
institution DOAJ
collection DOAJ
language EN
topic fluid induced vibration
rotor partially filled with liquid
sloshing
nonlinear vibration
vibration coupled with fluid motion
semianalytical method
Mechanical engineering and machinery
TJ1-1570
spellingShingle fluid induced vibration
rotor partially filled with liquid
sloshing
nonlinear vibration
vibration coupled with fluid motion
semianalytical method
Mechanical engineering and machinery
TJ1-1570
Masahiko UTSUMI
Vibration analysis of a cylindrical rotor partially filled with liquid considering nonlinearity of liquid motion
description The vibration of a cylindrical rotor partially filled with liquid is analyzed by a semianalytical method allowing for all nonlinear terms and arbitrary liquid depth. The method is verified by comparing with earlier experimental results and the nonlinear mechanism is examined that causes transition from unstable response to stable vibration. The examination shows that the transition arises from the nonlinearity of the kinematic boundary condition on the liquid surface. A closed loop mechanism is introduced to explain why the vibration suppression effect of nonlinearity in one boundary condition results in stabilization of the whole system. The case with larger dimensionless liquid depth is also addressed. Studies for this case were relatively scarce because many earlier studies were based on shallow water approximation.
format article
author Masahiko UTSUMI
author_facet Masahiko UTSUMI
author_sort Masahiko UTSUMI
title Vibration analysis of a cylindrical rotor partially filled with liquid considering nonlinearity of liquid motion
title_short Vibration analysis of a cylindrical rotor partially filled with liquid considering nonlinearity of liquid motion
title_full Vibration analysis of a cylindrical rotor partially filled with liquid considering nonlinearity of liquid motion
title_fullStr Vibration analysis of a cylindrical rotor partially filled with liquid considering nonlinearity of liquid motion
title_full_unstemmed Vibration analysis of a cylindrical rotor partially filled with liquid considering nonlinearity of liquid motion
title_sort vibration analysis of a cylindrical rotor partially filled with liquid considering nonlinearity of liquid motion
publisher The Japan Society of Mechanical Engineers
publishDate 2020
url https://doaj.org/article/f2730aa2eb1c4a2995932008e6f473af
work_keys_str_mv AT masahikoutsumi vibrationanalysisofacylindricalrotorpartiallyfilledwithliquidconsideringnonlinearityofliquidmotion
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