On Line Monitoring of Micro End Tool Wear Based on One-dmensional Fractal

Zhiqiang Wang, G. Zhang, Yifan Liu, Shuze Geng, Donghuang Shi, Zhenghao Yang
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Abstract

Based on the theoretical derivation of one-dimensional fractal, a new method to realize on-line tool wear monitoring of micro end tool is proposed. First, several different wear conditions of micro end tool are chosen as comparison samples, which includes the wear rate of micro end tool is 0, 10, 20, 30, $i$ and tipping respectively. The vibration signals of all samples are collected in time domain, and the range $k$ of each wear status is obtained based on one-dimensional fractal. Secondly, the vibration status of tested tool is monitored and analyzed, and its one-dimensional fractal is extracted. Finally, comparing the one-dimensional fractal of the tested tool with the fractal dimension range $j$ of the comparison samples, the status of tested tool is detected. In order to verify the above monitoring method, a small triaxial vertical testing machine is used. The results show that the one-dimensional fractal of each monitored micro end tool falls within the range of fractal dimension corresponding to actual wear.
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基于一维分形的微端刀磨损在线监测
在一维分形理论推导的基础上,提出了一种实现微型端刀磨损在线监测的新方法。首先,选取几种不同的微端刀磨损工况作为对比样本,其中微端刀的磨损率分别为0、10、20、30、$i$和倾翻;在时域内采集各试样的振动信号,基于一维分形得到各磨损状态的范围$k$。其次,对被测刀具的振动状态进行监测和分析,提取其一维分形;最后,将被测刀具的一维分形与对比样品的分形维数范围$j$进行比较,检测被测刀具的状态。为了验证上述监测方法,使用小型三轴垂直试验机。结果表明:所监测的微端刀的一维分形维数都在与实际磨损相对应的分形维数范围内;
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