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The Scientific World Journal
Volume 2014, Article ID 234150, 8 pages
Research Article

Cutting Force Predication Based on Integration of Symmetric Fuzzy Number and Finite Element Method

1School of Mechatronic Engineering, Changchun University of Technology, Changchun 130012, China
2College of Mechanical Engineering, Beihua University, Jilin 132021, China

Received 13 January 2014; Accepted 17 February 2014; Published 20 March 2014

Academic Editor: Belal F. Yousif

Copyright © 2014 Zhanli Wang 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.


In the process of turning, pointing at the uncertain phenomenon of cutting which is caused by the disturbance of random factors, for determining the uncertain scope of cutting force, the integrated symmetric fuzzy number and the finite element method (FEM) are used in the prediction of cutting force. The method used symmetric fuzzy number to establish fuzzy function between cutting force and three factors and obtained the uncertain interval of cutting force by linear programming. At the same time, the change curve of cutting force with time was directly simulated by using thermal-mechanical coupling FEM; also the nonuniform stress field and temperature distribution of workpiece, tool, and chip under the action of thermal-mechanical coupling were simulated. The experimental result shows that the method is effective for the uncertain prediction of cutting force.