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Mathematical Problems in Engineering
Volume 2015, Article ID 940643, 8 pages
Research Article

An Improved Method for Generating Cutter Points Based on Required Form Accuracy of the Machining Surface

School of Mechanical Science and Engineering, Jilin University, Changchun 130025, China

Received 21 October 2014; Revised 24 March 2015; Accepted 30 March 2015

Academic Editor: María I. Herreros

Copyright © 2015 Shijun Ji et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Recently, freeform surfaces are widely used in optical field. Fabrication of freeform surface optics needs high machining accuracy and high efficiency simultaneously. Using the present ultraprecision manufacturing technologies, the form accuracy of freeform surfaces can reach submicrometric or even nanometer range but at the cost of low efficiency; moreover, the form accuracy cannot be predicted; the number and the position of cutter points cannot be accurately controlled before practical machining. A novel strategy of cutter points distribution is proposed in the paper, which is based on the required accuracy of the freeform surface and the machining efficiency can be improved by eliminating redundant cutter points on the processing trajectory. The new idea is detailed, simulations are conducted, and experiments are done to verify the feasibility of the proposed method in fabricating two sinusoidal ring surfaces.