基于分形理论的球头铣削表面形貌研究

2018-12-20

作者：陶海旺，赵军，刘昊，宋伟田单位：山东大学

摘要：表面形貌作为表面完整性的重要组成部分，直接影响零件的耐磨性、配合稳定性以及疲劳特性。基于WM分形模型对二维工程表面进行仿真，分析了分形维数D和特征尺度系数G对表面轮廓的影响，证明了分形维数表征表面形貌的可行性。通过在不同走刀路径下多轴球头铣削AISI H13钢试验，并运用MATLAB编程得到不同加工表面形貌的分形维数。分析结果表明：分形维数对复杂形状中的微观组织结构有很强的分辨能力；当径向切深与每齿进给量的比值为1<m<2时，铣削表面形貌的微观组织结构最简单。本研究结果可为三维表面形貌的表征方法提供参考价值。

关键词：WM分形模型；二维表面轮廓仿真；分形维数；多轴球头铣削

中图分类号：TH161+.14；TG54文献标志码：A

Study on Topography of Surface Milled with Ballend Cutter

Based on Fractal Theory

Tao Haiwang，Zhao Jun，Liu Hao，Song Weitian

Abstract:As an important part of the surface integrity，the surface topography directly affects the wear resistance，coordination stability and fatigue properties of parts.Based on the WM fractal model，the twodimensional engineering surface is simulated，and the effect of the fractal dimension D and the characteristic scale coefficient G on the surface contour is analyzed.It is proved that the fractal dimension is feasible for characterizing the surface topography.By cutting experiment with multiaxis ballend cutter under different tool paths on AISI H13 steel，the fractal dimensions of different surface topographies are obtained through MATLAB programming.The analysis results show that the fractal dimension has a strong ability to distinguish the microstructures of complex contours.When the ratio m of radial cutting depth to feed per tooth is 1<m<2，the simplest microstructure could be acquired.The result of this study could provide a reference for the characterization of 3D surface topography.

Keywords:WM fractal model；2D surface contour simulation；fractal dimension；ballend milling