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ARTICLE
Stability analysis of a spinning shaft in the concentric cylinder filled with an incompressible fluid
1
School of Engineering, Anhui Agricultural University, Hefei, China
2
Anhui Province Engineering Laboratory of Intelligent Agricultural Machinery and Equipment, Hefei, China
3
Institute of Applied Mechanics, College of Science, Northeastern University, Shenyang, China
Submission date: 2023-03-07
Final revision date: 2023-06-09
Acceptance date: 2023-06-12
Online publication date: 2023-08-30
Publication date: 2023-10-30
Journal of Theoretical and Applied Mechanics 2023;61(4):659-672
KEYWORDS
TOPICS
ABSTRACT
This paper deals with the stability of a spinning shaft in a concentric cylinder filled with
an incompressible fluid. The steady-state momentum and continuity equations for the external
fluid are established. Using Taylor expansion, the fluid forces exerted on the shaft
are calculated. The shaft is in the Rayleigh model taking into account the rotary inertia
and gyroscopic effects. Accordingly, the governing equation of the considered system is formulated
analytically. The explicit characteristic frequency equation for the pinned-pinned
spinning shaft system is then derived. Finally, the stability of the system is studied by means
of characteristic value analysis.
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| eISSN: | 2543-6309 |
| ISSN: | 1429-2955 |
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