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 |
| Summary: | 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. |
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| ISSN: | 2187-9745 |