RESEARCH ARTICLE

Mathematical model and manufacture programming of loxodromic-type normal circular-arc spiral bevel gear

  • Zhenyun DUAN 1 ,
  • Houjun CHEN , 2 ,
  • Zhilan JU 2 ,
  • Jian LIU 3
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  • 1. School of Mechanical Engineering, Shenyang University of Technology, Shenyang 110023, China
  • 2. School of Mechanical Engineering, Nantong University, Nantong 226019, China
  • 3. School of Mechanical Engineering, Dalian University of Technology, Dalian 116024, China

Received date: 10 Jan 2012

Accepted date: 20 Mar 2012

Published date: 05 Sep 2012

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg

Abstract

In this paper, loxodromic-type normal circular-arc spiral bevel gear is proposed as a novel application of the circular-arc tooth profile at the gear transmission with intersecting axes. Based on the principle of molding-surface conjugation, the study develops a mathematical model for the tooth alignment curve and the computational flow at the design stage to enable the generation of the tooth surface. Machining of the tooth surface is then carried out to determine the interference-free tool path of the numerical control (NC). Moreover, a pair of loxodromic-type normal circular-arc spiral bevel gears is manufactured on computer numerical control (CNC) machine tools. The proposed theory and method are experimentally investigated, and the obtained results primarily reflect the superior performance of the proposed novel gear.

Cite this article

Zhenyun DUAN , Houjun CHEN , Zhilan JU , Jian LIU . Mathematical model and manufacture programming of loxodromic-type normal circular-arc spiral bevel gear[J]. Frontiers of Mechanical Engineering, 2012 , 7(3) : 312 -321 . DOI: 10.1007/s11465-012-0308-5

Acknowledgements

The work was supported by the National Natural Science Foundation of China (Grant No. 51105210) and by the Nantong University (Nos. 10ZY006 and 201010).
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