Squeeze film effects between two concentric cylinders are common and important in many mechanical systems. The models for cylindrical squeeze film force and vibrating system with squeeze film effects have not been well understood. In this paper, we model a cylindrical squeeze film force starting from the simplification of the full Navier–Stokes equations and then get an expression for the squeeze film force. We study the influence of a harmonic exciting force on a spring damped vibrator with squeeze film effect by establishing a non-linear mathematical model, and we investigate the behavior of the system numerically. As a forced vibrating system, the fundamental frequency of the response is consistent with the exciting frequency; the response of the resultant non-linear system shows obvious superharmonic phenomenon; the number of the superharmonic peaks increase with Reynolds number, and the superharmonic components mainly come from the non-linearity of the flow convection.
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April 2023
Research Article|
April 04 2023
The vibration of a spring damped vibrator under a long cylindrical squeeze film force
Yang Shihao (杨世豪)
;
Yang Shihao (杨世豪)
(Conceptualization, Formal analysis, Investigation, Methodology, Writing – original draft, Writing – review & editing)
Nuclear Power Institute of China
, Chengdu 610213, China
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Tan Tiancai (谭添才)
;
Tan Tiancai (谭添才)
(Software, Visualization)
Nuclear Power Institute of China
, Chengdu 610213, China
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Lai Jiang (赖姜)
Lai Jiang (赖姜)
a)
(Funding acquisition, Project administration, Writing – review & editing)
Nuclear Power Institute of China
, Chengdu 610213, China
a)Author to whom correspondence should be addressed: laijiang1983@163.com
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a)Author to whom correspondence should be addressed: laijiang1983@163.com
Note: This paper is part of the special topic, Multiphase flow in energy studies and applications: A special issue for MTCUE-2022.
Physics of Fluids 35, 043602 (2023)
Article history
Received:
January 07 2023
Accepted:
March 15 2023
Citation
Shihao Yang, Tiancai Tan, Jiang Lai; The vibration of a spring damped vibrator under a long cylindrical squeeze film force. Physics of Fluids 1 April 2023; 35 (4): 043602. https://doi.org/10.1063/5.0141629
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