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Stability Analysis Based on Energy Balance of Motion of the Gyroscopic Exercise Tool

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Proceedings of the 9th IFToMM International Conference on Rotor Dynamics

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 21))

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Abstract

This paper deals with the motion of a gyroscopic exercise tool called as the ‘Power Ball’. This gyroscopic exercise tool, which is used to train the hand muscles utilizes a gyroscopic effect caused by a whirling motion of a high speed rotating body. When the input motion is applied to the outer casing, the internal rotor spins at thousands of rpm whirling with a slow precession motion. This paper shows the dynamic model of this tool considering the contact/separation conditions and the sliding motion between the rotor and the case. Two kinds of motion are observed in a numerical simulation. In this paper, stability analysis of motion of the tool is carried out based on the energy balance between the input and output energy in the tool.

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References

  1. Power Ball. http://www.powerballs.jp/

  2. Gulick DW, O’Reilly OM (2000) On the dynamics of the dynabee. J Appl Mech Trans ASME 67(2):321–325

    Google Scholar 

  3. Ishii T, Goto Y, Ogawa T, Hosaka H (2008) Development of gyroscopic power generator. Precis Eng 74(7):764–768 (in Japanese)

    Article  Google Scholar 

  4. Yoshikawa S, Iwasaki J, Kishimoto K, Hosaka H, Sasaki K (2010) Transient analysis of gyroscopic power generator. Precis Eng 76(2):238–242 (in Japanese)

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  5. Inoue T, Takagi K, Takezaki Y, Ishikawa M (2013) Dynamical modeling and stability analysis of a gyroscopic exercise tool considering contact/separation and slide between the rotor and the case. J Syst Design Dyn 7(1):52–65

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Author information

Authors and Affiliations

  1. Department of Mechanical Science and Engineering, School of Engineering, Nagoya University, Furo-cho, Chikusa-ku, Nagoya, Aichi, 464-8603, Japan

    Masahiko Aki, Yuki Takezaki, Kentaro Takagi & Tsuyoshi Inoue

Authors
  1. Masahiko Aki
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  2. Yuki Takezaki
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  3. Kentaro Takagi
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  4. Tsuyoshi Inoue
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Corresponding author

Correspondence to Masahiko Aki .

Editor information

Editors and Affiliations

  1. Mechanical Engineering, Politecnico di Milano, Milano, Italy

    Paolo Pennacchi

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© 2015 Springer International Publishing Switzerland

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Aki, M., Takezaki, Y., Takagi, K., Inoue, T. (2015). Stability Analysis Based on Energy Balance of Motion of the Gyroscopic Exercise Tool. In: Pennacchi, P. (eds) Proceedings of the 9th IFToMM International Conference on Rotor Dynamics. Mechanisms and Machine Science, vol 21. Springer, Cham. https://doi.org/10.1007/978-3-319-06590-8_173

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  • DOI: https://doi.org/10.1007/978-3-319-06590-8_173

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-06589-2

  • Online ISBN: 978-3-319-06590-8

  • eBook Packages: EngineeringEngineering (R0)

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