Logarithmic Spiral and its Application to the Design of the Relieving Shaped Milling Cutter

Abstract:

From the definition of logarithmic spiral and its particular characteristics, logarithmic spiral is discussed and adopted as the tooth back curve of the relieving shaped milling cutter under the new manufacturing conditions. Thus, the relief angle of each point on the cutting edge keeps instant after regrinding the cutter and thereby makes for preserving the machinability stability. Besides, cutter structure parameters determine coefficient values in the equation of logarithmic spiral tooth back curve. Based on the objected-oriented thought, a CAD system for the relieving shaped milling cutter with logarithmic spiral tooth back is developed in virtue of the language of VBA embedded in AutoCAD, which achieves the automatic generation of logarithmic spiral, realizes the cutter parametric design, shortens the whole cycle and improves the design quality.

• Periodical: Applied Mechanics and Materials (Volume 42)
• Pages: 396-399
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.42.396
• Online since: November 2010
• Authors: Xing Xin Xu, Xiao Hui Zhang, You Yi Zheng
• Keywords: Computer Aided Design (CAD), Logarithmic Spiral, Relieving Shaped Milling Cutter, VBA

References

[1] Y.Y. Zheng. Journal of Machine Design. Vol. 20 (2003) No. 1, pp.69-70. （In Chinese).

[2] W.J. Zhang. Metal Cutting Principle and Cutter (University of Zhejiang Press, China 1996). （In Chinese).

[3] Y. Wang. Develop AutoCAD2000 Application Program by VBA (Posts & Telecom Press, China 1999). （In Chinese).

[4] Q.Y. Li, N.C. Wang. Numerical Analysis (Huazhong University of Science and Technology Press, China 1986). （In Chinese).