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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The Japan Society of Mechanical Engineers
2020
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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 |
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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 |
_version_ |
1718407621677940736 |