Surface Topography Analysis of Point Contact Cutting Considering Vibration

Precision manufacturing engineering requires not only excellent materials but also precise machining methods. The point contact cutting is widely applied to precision turning, milling, grinding, and so on. However, the machining principle and the surface topography formation process of the point contact cutting are not well described mathematically. To solve the problem, we proposed a new surface topography analysis method considering vibration in this paper. First, based on the geometry topology theory, we reduced the dimension of the point contact cutting process. Moreover, the surface topography displacement formula was derived. Finally, the relationships between the influence factors (the shape of the cutting tools, the cutting parameters, and vibration) and the surface topography displacement were analyzed and explored. The surface topography analysis method proposed in this paper provides the theoretical foundation for designing, controlling, and optimizing the point contact cutting process.