Based on the theory of gearing and differential geometry, a universal hypoid generator mathematical model for face hobbing spiral bevel and hypoid gears has been developed. This model can be used to simulate existing face hobbing processes, such as Oerlikon’s Spiroflex© and Spirac© methods, Klingelnberg’s Cyclo-Palloid© cutting system, and Gleason’s face hobbing nongenerated and generated cutting systems. The proposed model is divided into three modules: the cutter head, the imaginary generating gear, and the relative motion between the imaginary generating gear and the work gear. With such a modular arrangement, the model is suitable for development of object-oriented programming (OOP) code. In addition, it can be easily simplified to simulate face milling cutting and includes most existing flank modification features. A numerical example for simulation of the Klingelnberg Cyclo-Palloid© hypoid is presented to validate the proposed model, which can be used as a basis for developing a universal cutting simulation OOP engine for both face milling and face hobbing spiral bevel and hypoid gears.
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e-mail: imezhf@ccu.edu.tw
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January 2007
Research Papers
Mathematical Model for a Universal Face Hobbing Hypoid Gear Generator
Yi-Pei Shih,
Yi-Pei Shih
Graduate Student
Department of Mechanical Engineering,
National Chung Cheng University
, No. 168, University Road, Min-Hsiung, Chia-Yi, Taiwan, R.O.C.
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Zhang-Hua Fong,
Zhang-Hua Fong
Professor
Department of Mechanical Engineering,
e-mail: imezhf@ccu.edu.tw
National Chung Cheng University
, No. 168, University Road, Min-Hsiung, Chia-Yi, Taiwan, R.O.C.
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Grandle C. Y. Lin
Grandle C. Y. Lin
Vice General Manager
HOTA Industrial Mfg. Co., Ltd.
, 115, Ren-hua Road, Ta Li, Taichung County, Taiwan, R.O.C.
Search for other works by this author on:
Yi-Pei Shih
Graduate Student
Department of Mechanical Engineering,
National Chung Cheng University
, No. 168, University Road, Min-Hsiung, Chia-Yi, Taiwan, R.O.C.
Zhang-Hua Fong
Professor
Department of Mechanical Engineering,
National Chung Cheng University
, No. 168, University Road, Min-Hsiung, Chia-Yi, Taiwan, R.O.C.e-mail: imezhf@ccu.edu.tw
Grandle C. Y. Lin
Vice General Manager
HOTA Industrial Mfg. Co., Ltd.
, 115, Ren-hua Road, Ta Li, Taichung County, Taiwan, R.O.C.J. Mech. Des. Jan 2007, 129(1): 38-47 (10 pages)
Published Online: May 17, 2006
Article history
Received:
June 29, 2005
Revised:
May 17, 2006
Citation
Shih, Y., Fong, Z., and Lin, G. C. Y. (May 17, 2006). "Mathematical Model for a Universal Face Hobbing Hypoid Gear Generator." ASME. J. Mech. Des. January 2007; 129(1): 38–47. https://doi.org/10.1115/1.2359471
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