The bulk-flow theory for the rotordynamic (RD) fluid force has been investigated for many years. These conventional bulk-flow analyses were performed under the assumption and restriction that the whirl amplitude was very small compared to the seal clearance while actual turbomachinery often causes the large amplitude vibration, and these conventional analyses may not estimate its RD fluid force accurately. In this paper, the perturbation analysis of the bulk-flow theory is extended to investigate the RD fluid force in the case of concentric circular whirl with relatively large amplitude. A set of perturbation solutions through third-order perturbations are derived explicitly. It relaxes the restriction of conventional bulk flow analysis, and it enables to investigate the RD fluid force for the whirl amplitude up to about a half of the clearance. Using derived equations, the nonlinear analytical solutions of the flow rates and pressure are deduced, and the characteristics of the RD fluid force are investigated in both radial and tangential directions. The influence of the whirl amplitude on the RD fluid force is explained and validated by comparing with computational fluid dynamics (CFD) analysis. These results are useful for the analysis and prediction of frequency response of the vibration of the rotating shaft system considering the RD fluid forces.
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July 2018
Research-Article
Nonlinear Analysis of Rotordynamic Fluid Forces in the Annular Plain Seal by Using Extended Perturbation Analysis of the Bulk-Flow Theory (Influence of Whirling Amplitude in the Case With Concentric Circular Whirl)
Atsushi Ikemoto,
Atsushi Ikemoto
Department of Mechanical Systems Engineering,
Nagoya University,
Furo-cho,
Nagoya 464-8603, Chikusa-ku, Japan
Nagoya University,
Furo-cho,
Nagoya 464-8603, Chikusa-ku, Japan
Search for other works by this author on:
Tsuyoshi Inoue,
Tsuyoshi Inoue
Mem. ASME
Department of Mechanical Systems Engineering,
Nagoya University,
Furo-cho,
Nagoya 464-8603, Chikusa-ku, Japan
e-mail: inoue.tsuyoshi@nagoya-u.jp
Department of Mechanical Systems Engineering,
Nagoya University,
Furo-cho,
Nagoya 464-8603, Chikusa-ku, Japan
e-mail: inoue.tsuyoshi@nagoya-u.jp
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Kazukiyo Sakamoto,
Kazukiyo Sakamoto
Department of Mechanical Systems Engineering,
Nagoya University,
Furo-cho,
Nagoya 464-8603, Chikusa-ku, Japan
Nagoya University,
Furo-cho,
Nagoya 464-8603, Chikusa-ku, Japan
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Masaharu Uchiumi
Masaharu Uchiumi
Mem. ASME
Muroran Institute of Technology,
27-1 Mizumoto-cho,
Muroran 050-8585, Hokkaido, Japan
e-mail: uchiumi@mmm.muroran-it.ac.jp
Muroran Institute of Technology,
27-1 Mizumoto-cho,
Muroran 050-8585, Hokkaido, Japan
e-mail: uchiumi@mmm.muroran-it.ac.jp
Search for other works by this author on:
Atsushi Ikemoto
Department of Mechanical Systems Engineering,
Nagoya University,
Furo-cho,
Nagoya 464-8603, Chikusa-ku, Japan
Nagoya University,
Furo-cho,
Nagoya 464-8603, Chikusa-ku, Japan
Tsuyoshi Inoue
Mem. ASME
Department of Mechanical Systems Engineering,
Nagoya University,
Furo-cho,
Nagoya 464-8603, Chikusa-ku, Japan
e-mail: inoue.tsuyoshi@nagoya-u.jp
Department of Mechanical Systems Engineering,
Nagoya University,
Furo-cho,
Nagoya 464-8603, Chikusa-ku, Japan
e-mail: inoue.tsuyoshi@nagoya-u.jp
Kazukiyo Sakamoto
Department of Mechanical Systems Engineering,
Nagoya University,
Furo-cho,
Nagoya 464-8603, Chikusa-ku, Japan
Nagoya University,
Furo-cho,
Nagoya 464-8603, Chikusa-ku, Japan
Masaharu Uchiumi
Mem. ASME
Muroran Institute of Technology,
27-1 Mizumoto-cho,
Muroran 050-8585, Hokkaido, Japan
e-mail: uchiumi@mmm.muroran-it.ac.jp
Muroran Institute of Technology,
27-1 Mizumoto-cho,
Muroran 050-8585, Hokkaido, Japan
e-mail: uchiumi@mmm.muroran-it.ac.jp
1Corresponding author.
Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received January 16, 2017; final manuscript received November 7, 2017; published online April 3, 2018. Assoc. Editor: Alan Palazzolo.
J. Tribol. Jul 2018, 140(4): 041708 (15 pages)
Published Online: April 3, 2018
Article history
Received:
January 16, 2017
Revised:
November 7, 2017
Citation
Ikemoto, A., Inoue, T., Sakamoto, K., and Uchiumi, M. (April 3, 2018). "Nonlinear Analysis of Rotordynamic Fluid Forces in the Annular Plain Seal by Using Extended Perturbation Analysis of the Bulk-Flow Theory (Influence of Whirling Amplitude in the Case With Concentric Circular Whirl)." ASME. J. Tribol. July 2018; 140(4): 041708. https://doi.org/10.1115/1.4039370
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