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Systematic design and analytical evaluation of a novel multi-speed bicycle rear transmission hub with a permanent magnet assisted gear shifting mechanism
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  • Open access
  • Published: 05 May 2026

Systematic design and analytical evaluation of a novel multi-speed bicycle rear transmission hub with a permanent magnet assisted gear shifting mechanism

  • Feng-Ming Ou1,
  • Yi-Chang Wu2 &
  • Jin-Yi Feng2 

Scientific Reports (2026) Cite this article

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We are providing an unedited version of this manuscript to give early access to its findings. Before final publication, the manuscript will undergo further editing. Please note there may be errors present which affect the content, and all legal disclaimers apply.

Subjects

  • Engineering
  • Materials science

Abstract

This study presents a systematic design approach for a multi-speed bicycle rear transmission hub, which consists of a gear speed-changing mechanism and a rotary-type gear-shifting mechanism to enhance functional performance and optimize space utilization. The design process encompasses structural synthesis, gear stage arrangement, gear teeth synthesis, and clutch configuration, ensuring optimal power transmission and seamless gear shifting. A 9-speed rear transmission hub is used as an example to illustrate the design process. A compound planetary gear train with a new permanent magnet assisted gear-shifting mechanism was presented to provide nine forward gears, including four underdrive gears, a direct drive gear and four overdrive gears. The proposed design was verified through computer simulations, confirming its functional feasibility and mechanical integrity. Key performance results demonstrate that the system achieves a speed ratio ranging from 0.56 to 1.80 with a step jump no greater than 20%. Furthermore, the design maintains a compact dimension within a diameter of 200 mm and an axial length not exceeding 190 mm, while keeping the total weight under 3 kg. The results indicate that the system effectively meets performance specifications while addressing limitations associated with traditional spring-based gear shifting mechanisms. This study contributes to the advancement of multi-speed transmission hubs, providing a structured framework for next-generation bicycle transmission systems.

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Acknowledgements

The authors are grateful to the National Science and Technology Council, Taiwan, R. O. C. for the financial support of this research under grant number NSTC 113-2221-E-224-032 and NSTC 112-2222-E-006-003-MY2.

Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, National Cheng Kung University, Tainan, Taiwan

    Feng-Ming Ou

  2. Department of Mechanical Engineering, National Yunlin University of Science & Technology, Yunlin, Taiwan

    Yi-Chang Wu & Jin-Yi Feng

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  1. Feng-Ming Ou
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  2. Yi-Chang Wu
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  3. Jin-Yi Feng
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Corresponding author

Correspondence to Yi-Chang Wu.

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Cite this article

Ou, FM., Wu, YC. & Feng, JY. Systematic design and analytical evaluation of a novel multi-speed bicycle rear transmission hub with a permanent magnet assisted gear shifting mechanism. Sci Rep (2026). https://doi.org/10.1038/s41598-026-51894-0

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  • Received: 28 October 2025

  • Accepted: 30 April 2026

  • Published: 05 May 2026

  • DOI: https://doi.org/10.1038/s41598-026-51894-0

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Keywords

  • Embodiment design
  • Rear transmission hub
  • Bicycle
  • Gear-shifting mechanism
  • Planetary gear train
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