Journal of
Mechanical Engineering Research

  • Abbreviation: J. Mech. Eng. Res.
  • Language: English
  • ISSN: 2141-2383
  • DOI: 10.5897/JMER
  • Start Year: 2009
  • Published Articles: 119

Full Length Research Paper

Synthesis of hyperboloid gear drives: Controlling of the singularity on the active tooth surfaces

Emilia Abadjieva
  • Emilia Abadjieva
  • Faculty of Engineering Science, Graduate School of Engineering, Akita University, Akita, Japan.
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Valentin Abadjiev
  • Valentin Abadjiev
  • Institute of Mechanics, Bulgarian Academy of Sciences, Bulgaria.
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  •  Received: 14 June 2017
  •  Accepted: 10 July 2017
  •  Published: 31 July 2017


The study illustrates the mathematical model, applied to the synthesis of hyperboloid gear drives with taking into account the singularity appearance on the contacting active tooth surfaces. A kinematic approach for registration of the singularity on the tooth surfaces of the synthesized spatial transmissions is shown. The analytical dependencies applicable for defining and controlling of the singularities on the conjugates active surfaces are illustrated.

Key words: Hyperboloid gear drives, kinematic synthesis, mathematical modeling, region of mesh, singularity.