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Frontiers of Mechanical Engineering

ISSN 2095-0233

ISSN 2095-0241(Online)

CN 11-5984/TH

邮发代号 80-975

2019 Impact Factor: 2.448

Frontiers of Mechanical Engineering  2012, Vol. 7 Issue (3): 312-321   https://doi.org/10.1007/s11465-012-0308-5
  RESEARCH ARTICLE 本期目录
Mathematical model and manufacture programming of loxodromic-type normal circular-arc spiral bevel gear
Mathematical model and manufacture programming of loxodromic-type normal circular-arc spiral bevel gear
Zhenyun DUAN1, Houjun CHEN2(), Zhilan JU2, Jian LIU3
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
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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.

Key wordsloxodrome    circular-arc tooth profile    Wildhaber-Novikov (W-N) gear    spiral bevel gear
收稿日期: 2012-01-10      出版日期: 2012-09-05
Corresponding Author(s): CHEN Houjun,Email:mrchj365@ntu.edu.cn   
 引用本文:   
. Mathematical model and manufacture programming of loxodromic-type normal circular-arc spiral bevel gear[J]. Frontiers of Mechanical Engineering, 2012, 7(3): 312-321.
Zhenyun DUAN, Houjun CHEN, Zhilan JU, Jian LIU. Mathematical model and manufacture programming of loxodromic-type normal circular-arc spiral bevel gear. Front Mech Eng, 2012, 7(3): 312-321.
 链接本文:  
https://academic.hep.com.cn/fme/CN/10.1007/s11465-012-0308-5
https://academic.hep.com.cn/fme/CN/Y2012/V7/I3/312
Fig.1  
Fig.2  
ItemSymbolPinionGear
Pressure anglean30°30°
Radius of the working profiler01.5 mn1.65 mn
Addendumha1.2 mn0
Fillet radiusrg0.6248 mn0.6227 mn
Tooth depthh1.5 mn1.36 mn
Technological angle?08°4734-
Transverse offset of the circular centerC-0.6289 mn
Longitudinal offset of the circular centere-0.075 mn
Tab.1  
Fig.3  
Fig.4  
Fig.5  
ItemPiniongear
Tooth number1224
Hand of spiralLeftRight
Nominal module5 mm
Shaft angle90o
Pressure angle30o
Nominal spiral angle30o
Contact ratio2.1
Inner cone distance70.460
Mean cone distance125.832
Tab.2  
Fig.6  
Fig.7  
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