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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| Format: | Article |
| Language: | English |
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The Japan Society of Mechanical Engineers
2020-06-01
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| Series: | Mechanical Engineering Journal |
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| Online Access: | https://www.jstage.jst.go.jp/article/mej/7/4/7_19-00554/_pdf/-char/en |
| _version_ | 1818893581504479232 |
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| author | Masahiko UTSUMI |
| author_facet | Masahiko UTSUMI |
| author_sort | Masahiko UTSUMI |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-19T18:14:52Z |
| format | Article |
| id | doaj.art-f2730aa2eb1c4a2995932008e6f473af |
| institution | Directory Open Access Journal |
| issn | 2187-9745 |
| language | English |
| last_indexed | 2024-12-19T18:14:52Z |
| publishDate | 2020-06-01 |
| publisher | The Japan Society of Mechanical Engineers |
| record_format | Article |
| series | Mechanical Engineering Journal |
| spelling | doaj.art-f2730aa2eb1c4a2995932008e6f473af2022-12-21T20:11:09ZengThe Japan Society of Mechanical EngineersMechanical Engineering Journal2187-97452020-06-017419-0055419-0055410.1299/mej.19-00554mejVibration analysis of a cylindrical rotor partially filled with liquid considering nonlinearity of liquid motionMasahiko UTSUMI0Vibration Engineering Group, Technology Platform Center, IHI CorporationThe 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.https://www.jstage.jst.go.jp/article/mej/7/4/7_19-00554/_pdf/-char/enfluid induced vibrationrotor partially filled with liquidsloshingnonlinear vibrationvibration coupled with fluid motionsemianalytical method |
| spellingShingle | Masahiko UTSUMI Vibration analysis of a cylindrical rotor partially filled with liquid considering nonlinearity of liquid motion Mechanical Engineering Journal fluid induced vibration rotor partially filled with liquid sloshing nonlinear vibration vibration coupled with fluid motion semianalytical method |
| title | 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_short | 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 |
| topic | fluid induced vibration rotor partially filled with liquid sloshing nonlinear vibration vibration coupled with fluid motion semianalytical method |
| url | https://www.jstage.jst.go.jp/article/mej/7/4/7_19-00554/_pdf/-char/en |
| work_keys_str_mv | AT masahikoutsumi vibrationanalysisofacylindricalrotorpartiallyfilledwithliquidconsideringnonlinearityofliquidmotion |