# Research on Heating Density Function and Temperature Field Mathematical Model for Milling Insert with 3D Complex Groove

## Abstract:

Based on the milling temperature experiments and researches, we established the milling temperature mathematical model using dimension analytic method,and the heat density function and superficial heat density function of the flat milling insert and the waved-edge milling insert, whose rake face is wave curve plane and created by the authors using the diathermanous theory. We describe the mathematic model of the instantaneous temperature field by the theory of the finite moving planar sources of heat. At last, a program was done to calculate the heat density function and the milling temperature field. According to the calculated results and plotted graph, it is proven that the highest temperature is not on the knifepoint and host edge, in fact, it is offset from the host edge a certain space. So we can make the conclusion that the waved-edge milling insert’s cutting capability is higher than the flat milling insert’s which is consistent with the experimental result. All the studies above are the foundation for accurately describing the 3-D temperature field and optimizing groove.

## Info:

Periodical:

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Edited by:

Dongming Guo, Tsunemoto Kuriyagawa, Jun Wang and Jun’ichi Tamaki

Pages:

669-674

Citation:

Z. J. Li et al., "Research on Heating Density Function and Temperature Field Mathematical Model for Milling Insert with 3D Complex Groove", Key Engineering Materials, Vol. 329, pp. 669-674, 2007

Online since:

January 2007

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\$41.00

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[1] G.Y. Tan , G.G. Liu and Z.J. Li. The analyzing of temperature field of 3D complex groove milling insert and its fuzzy quality synthetic evaluation. CHINESE JOURNAL OF MECHANICAL ENGINEERING(edition of Chinese). 2003310�p.106~109.

[2] Z.J. Li, Y.N. Cheng, M.L. Zheng and R.H. Zhang, Study on forcedensity function of complex three-dimension grooves milling insert. ICPMT 2004, p.458~462.

[3] Z.B. Hou, S.J. He and R.X. Li. Solid heat conduction. Shanghai science and technology press, 1984, p.67~75.

[4] W.D. Shen P.Z. Zhen and D.N. Jiang. Engineering thermodynamics. Higher education publishing house, 1983, p.46~47 Fig. 2 Temperature distribution on the rake face at a certain time.