Mathematical Problems in Engineering
Volume 2008 (2008), Article ID 510406, 15 pages
doi:10.1155/2008/510406
Research Article
Tool Wear Detection Based on Duffing-Holmes Oscillator
1College of Mechanical Engineering, Donghua University, Shanghai 201620, China
2Shanghai University of Science, 333#, Longteng Road, Songjiang district, Shanghai 201620, China
Received 28 May 2008; Accepted 27 July 2008
Academic Editor: Carlo Cattani
Copyright © 2008 Wanqing Song 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.
Abstract
The cutting sound in the audible range includes plenty of tool wear information. The
sound is sampled by the acoustic emission (AE) sensor as a short-time sequence, then worn wear
can be detected by the Duffing-Holmes oscillator. A novel engineering method is proposed for
determining the chaotic threshold of the Duffing-Holmes oscillator. First, a rough threshold value
is calculated by local Lyapunov exponents with a step size 0.1. Second, the exact threshold value
is calculated by the Duffing-Holmes system in terms of the law of the golden section. The advantage
of the method is low computation cost. The feasibility for tool condition detection is demonstrated
by the 27 kinds of cutting conditions with sharp tool and worn tool in turning experiments. The 54
group data sampled as noisy are embedded into the Duffing-Holmes oscillator,
respectively. Finally, one chaotic threshold is determined conveniently which can distinguish
between worn tool or sharp tool.