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A rack-cutter surface used to generate a spherical gear with discrete ring-involute teeth

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Abstract

A spherical gear is a mechanism for transferring motion. This type of gear has more than one direction of freedom, so it is very suitable for a flexible robot wrist. In general, spherical gear mechanisms have two degrees of freedom. Thus, from a geometric viewpoint, a mathematical derivation for producing a spherical gear with discrete ring-involute teeth is a conjugate problem. A rack-cutter that distributes ring teeth on a plane generates the spherical gear. Based on the envelope theory of a two-parameter family of rack-cutter surfaces, mathematical and geometric models of a spherical gear with discrete ring-involute teeth are proposed. Using CAD software, a geometric model of a spherical gear can be assembled. The developed spherical gear transmission has a gear ratio that is not 1, and an example is provided to demonstrate the double DOF transmission ratio of 4:3.

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Authors and Affiliations

  1. Department of Industrial Education and Technology, National Changhua University of Education, Bao-Shan Campus: Number 2, Shi-Da Road, Changhua, 500, Taiwan

    Shyue-Cheng Yang

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  1. Shyue-Cheng Yang
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Correspondence to Shyue-Cheng Yang.

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Yang, SC. A rack-cutter surface used to generate a spherical gear with discrete ring-involute teeth. Int J Adv Manuf Technol 27, 14–20 (2005). https://doi.org/10.1007/s00170-004-2150-3

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  • DOI: https://doi.org/10.1007/s00170-004-2150-3

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