Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2016, Article ID 6749182, 9 pages
Research Article

Modeling of Drilling Forces Based on Twist Drill Point Angles Using Multigene Genetic Programming

1School of Mechanical Engineering & Automation, Northeastern University, Shenyang 110819, China
2School of Mechanical Science & Technology, Kimchaek University of Technology, Pyongyang 999093, Democratic People's Republic of Korea

Received 16 October 2015; Accepted 4 January 2016

Academic Editor: Francesco Aymerich

Copyright © 2016 Myong-Il Kim and Ping Zou. 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.


The mathematical model was developed for predicting the influence of the drill point angles on the cutting forces in drilling with the twist drills, which was used to optimize those angles for reducing drilling forces. The approach was based on multigene genetic programming, for the training data, the grinding tests of twist drill were firstly conducted for the different drill point angles in Biglide parallel machine, and then drilling tests were performed on carbon fiber reinforced plastics using the grinded drills. The effectiveness of the proposed approach was verified through comparing with published data. It was found that the proposed model agreed well with the experimental data and was useful for improving the performance of twist drill.