三轴铣削中局部最优刀具路径的几何模拟
Geometric simulation of locally optimal tool paths in three-axis milling
AI总结：
提出一种结合等照度曲线和主曲率特征的数学方法，通过计算表面各点的最优刀具移动方向，以最小化刀具路径总长度并确保刀具磨损均匀，同时给出三角化表面的局部偏置计算方法以检测碰撞和自交。
摘要：
刀具路径生成方法最重要的目标是通过最小化刀具路径总长度来提高加工效率，同时将误差控制在规定公差内。这可以通过确定切削刀具的移动方向来实现，使得加工条纹最宽。从技术角度来看，建议刀具轴线与表面法线之间的角度沿刀具路径变化不要太大，以确保刀具磨损均匀。本文提出了一种用于三轴铣削中刀具路径生成的数学方法，该方法通过结合等照度曲线和主曲率的特征来考虑这些要求。它计算了表面上每个点处建议的刀具移动方向。建议的方向取决于刀具的尺寸和表面的曲率值。对于三角化表面，提出了一种新的局部偏置计算方法，该方法也适用于检测刀具与目标表面的碰撞以及偏置网格中的自交。
英文摘要：
The most important aim in tool path generation methods is to increase the machining efficiency by minimizing the total length of tool paths while the error is kept under a prescribed tolerance. This can be achieved by determining the moving direction of the cutting tool such that the machined stripe is the widest. From a technical point of view it is recommended that the angle between the tool axis and the surface normal does not change too much along the tool path in order to ensure even abrasion of the tool. In this paper a mathematical method for tool path generation in 3-axis milling is presented, which considers these requirements by combining the features of isophotic curves and principal curvatures. It calculates the proposed moving direction of the tool at each point of the surface. The proposed direction depends on the measurement of the tool and on the curvature values of the surface. For triangulated surfaces a new local offset computation method is presented, which is suitable also for detecting tool collision with the target surface and self intersection in the offset mesh.
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