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Meshing Characteristics of Toroidal Drive of Spherical Planetary Gear

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  • Yanhua Zhang
  • Jujiang Cao
  • Zaoli Yang

Abstract

Globoidal cam transmission of planetary gear train is a complex form of space transmission. The curved surface and meshing state of the inner and outer globoidal cam are determined by the curved surface of the rolling tooth on the planetary gear. Therefore, a unified mathematical expression method of the curved surface of the rolling tooth of the planetary gear is established. The envelope of the contact line on the tooth surface of the inner and outer cambered cam is a kind of boundary line, which determines the undercut limit of this kind of transmission, and the second kind of boundary line determines the meshing limit of this kind of transmission. Based on the principle of spatial meshing, the contact line between the curved surface of the rolling tooth on the planetary gear and the inner and outer globoidal cam is deduced, and the tooth profile curved surface equation of the spherical tooth and the inner and outer globoidal cam is analyzed. The boundary curve equation of planetary gear with spherical teeth is studied. By comparing transmission parameters of a/R, i1H, i2H, β, and △β, the influence of transmission parameters on the meshing characteristics of globoidal cam transmission of planetary gear train is analyzed. The research in this paper is helpful to realizing the manufacture of a prototype.

Suggested Citation

  • Yanhua Zhang & Jujiang Cao & Zaoli Yang, 2022. "Meshing Characteristics of Toroidal Drive of Spherical Planetary Gear," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-7, May.
    • Handle: RePEc:hin:jnlmpe:9485634
    DOI: 10.1155/2022/9485634
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