Spherical gearing with intermediate ball elements: Parameter ranges with a high contact ratio

M. V. Gorbenko, T. I. Gorbenko

Research output: Contribution to journalArticlepeer-review


The paper presents analytical research of the geometry and kinematical parameters of spherical gearing with ball intermediate elements. The main attention is paid to the influence of the offset coefficient on the tooth geometry generation, the contact ratio and the motion transmission angle. Intermediate ball element racetracks on the gear are trochoidal curves on a spherical surface. Two areas for the offset coefficient values providing a high value of the contact ratio - basic trochoid (without offset) and prolate trochoid with abutting racetracks of adjacent ball elements - were revealed. Analysis of the investigated parameters showed that for power transmission, it is preferable to use spherical gearing without an offset, and for kinematic transmission, it is possible to use profiles with a large offset. The present study allows making a rational choice of geometrical parameters depending on the transmission predestination.

Original languageEnglish
Article number012065
JournalIOP Conference Series: Materials Science and Engineering
Issue number1
Publication statusPublished - 1 Mar 2017
Event10th International Conference on Mechanical Engineering, Automation and Control Systems 2016, MEACS 2016 - Tomsk, Russian Federation
Duration: 27 Oct 201629 Oct 2016

ASJC Scopus subject areas

  • Materials Science(all)
  • Engineering(all)

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