Study on Establishment of Helix Flute Mathematic Model of Solid Carbide End Mills


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This paper describes a new approach to establish the helix flute model of solid carbide end mills. Based on the theory of differential geometry and coordinate transformation, a mathematical model of the end mill helix flute will be established.The main idea of the study is to envelop the helix flute by a one-parameter surface group which consists of the cross-sectional profiles of the wheel.Then, the mathematical model will be quickly verified by MATLAB.Thus the end mill design time will be saved and the new mathematical model will be checked effectively.



Edited by:

Dongye Sun, Wen-Pei Sung and Ran Chen




G. C. Li et al., "Study on Establishment of Helix Flute Mathematic Model of Solid Carbide End Mills", Applied Mechanics and Materials, Vols. 121-126, pp. 4753-4757, 2012

Online since:

October 2011




[1] Jung-Fa Hsieh: Machine Tools & Manufacture Vol. 46(2006), pp.1087-1096.

[2] Kexin Liu: Spatial Helix flute theory for design of cutting tools (China Machine Press, Beijing 1984), in Chinese.

[3] Jenn-Yih Chen: Journal of Materials Processing Techonology. Vol. 201(2008), pp.618-622.

[4] Jae Hyun Kim, Jung Wan Park and Tae Jo Ko: Computre-Aided Design Vol. 40(2008), pp.324-333.


[5] Guixian Li: Spatial Geometry Modeling and Its Application in Engineering(Higher Education Press, Beijing 2007), in Chinese.

[6] Yong-Hyun Kim: Materials Processing Technology Vol. 130-131(2002), pp.653-661.

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