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Development of an Algorithm for Computing the Force and Stress Parameters of a Cycloid Reducer

Author

Listed:
  • Egor A. Efremenkov

    (Department of Mechanical Engineering, Tomsk Polytechnic University, 30, Lenin Ave., 634050 Tomsk, Russia)

  • Sergey A. Shanin

    (Department of Mechanical Engineering, Tomsk Polytechnic University, 30, Lenin Ave., 634050 Tomsk, Russia)

  • Nikita V. Martyushev

    (Department of Advanced Technologies, Tomsk Polytechnic University, 30, Lenin Ave., 634050 Tomsk, Russia)

Abstract

The paper is devoted to the development of an algorithm for the automated calculation of force characteristics of cycloid toothing when the initial parameters vary widely. The algorithm forms a structured data array that accelerates finding and outputting the necessary parameters and reduces the probability of error in determining these parameters. The algorithm serves the basis for a program that allows for the examination of the change in force and geometrical parameters in various combinations. The study includes the analysis of the dependence of forces and contact stresses in transmission toothing with intermediate rolling elements and a free cage on the initial parameters of this transmission. The obtained results will make it possible to select optimal combinations of initial parameters in order to minimize the force impact on the mechanism parts when designing modern compact mechanisms based on the cycloid with intermediate rolling elements and a free cage.

Suggested Citation

  • Egor A. Efremenkov & Sergey A. Shanin & Nikita V. Martyushev, 2023. "Development of an Algorithm for Computing the Force and Stress Parameters of a Cycloid Reducer," Mathematics, MDPI, vol. 11(4), pages 1-15, February.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:4:p:993-:d:1069413
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    References listed on IDEAS

    as
    1. Shunxing Wu & Hong-Zhi Yan & Rengui Bi & Zhiyong Wang & Pengfei Zhu, 2020. "Nonlinear Optimization Method for Transmission Error of Hypoid Gear Machined by the Duplex Helical Method," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-15, November.
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    Cited by:

    1. Egor A. Efremenkov & Nikita V. Martyushev & Svetlana K. Efremenkova & Egor S. Chavrov, 2024. "An Analysis of Power Friction Losses in Gear Engagement with Intermediate Rolling Elements and a Free Cage," Mathematics, MDPI, vol. 12(6), pages 1-15, March.

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