Surface finish is one of the most important issues that is discussed in machining of materials. In fact, reaching the required surface finish is the key scale in analysis of the quality of machined workpiece. Chip formation is an important factor that highly affects the surface finish of machined workpiece. In this research, we analyze the relationship between surface finish and chip formation by fractal analysis of their surfaces. Since both patterns have complex structures, we calculate their fractal dimension in case of different experiments in which machining parameters change. The result of analysis indicates that the variations of fractal dimension of machined surface show a reverse pattern compared to the fractal dimension of chip surface in case of variations of depth of cut and feed rate. However, in case of variations of spindle speed, the variations of fractal dimension of machined surface show a similar pattern with the fractal dimension of chip surface. Therefore, it can be said that the complexity of machined surface is linked to the complexity of chip surface. The method of analysis used in this research can be further applied to other manufacturing operations.

中文翻译：

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基于分形的工件表面光洁度与铣削操作中切屑形成之间的关系分析

表面光洁度是材料加工中讨论的最重要的问题之一。事实上，达到要求的表面光洁度是分析加工工件质量的关键尺度。切屑的形成是影响加工工件表面光洁度的重要因素。在这项研究中，我们通过对其表面的分形分析来分析表面光洁度和切屑形成之间的关系。由于两种模式都有复杂的结构，我们计算它们的分形维数，以防加工参数发生变化的不同实验。分析结果表明，在切削深度和进给速度发生变化的情况下，加工面分形维数的变化与切屑面分形维数的变化规律相反。但是，在主轴转速变化的情况下，加工面分形维数的变化与芯片表面分形维数的变化规律相似。因此，可以说加工面的复杂程度与切屑面的复杂程度有关。本研究中使用的分析方法可以进一步应用于其他制造操作。