Tool wear is one of the unwanted phenomena in machining operations where tool has direct contact with the workpiece. Tool wear is an important issue in milling operation that is caused due to different parameters such as machine vibration. Tool wear shows complex structure, and machine vibration is a chaotic signal that also is complex. In this research, we analyze the correlation between tool wear and machine vibration using fractal theory. We run the experiments in which machining parameters, namely depth of cut, feed rate and spindle speed change, and accordingly analyze the variations of fractal dimension of tool wear versus the fractal dimension of machine vibration signal. Based on the obtained results, variations of complexity of tool wear are reversely correlated with the variations of complexity of vibration signal. Fractal analysis could potentially be applied to other machining operations in order to investigate the relation between tool wear and machine vibration.

中文翻译：

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铣削加工中刀具磨损与机床振动关系的分形分析

刀具磨损是刀具与工件直接接触的加工操作中不希望出现的现象之一。刀具磨损是铣削加工中的一个重要问题，由机床振动等不同参数引起。刀具磨损呈现出复杂的结构，机械振动是一种混沌信号，也很复杂。在这项研究中，我们使用分形理论分析了刀具磨损和机器振动之间的相关性。我们在切削深度、进给量和主轴转速变化的加工参数中进行了实验，并据此分析了刀具磨损分形维数与机床振动信号分形维数的变化。根据所得结果，刀具磨损复杂度的变化与振动信号复杂度的变化呈负相关。