Ball End Mill Arc Edge Geometry for Surface Finish and Pick Feed
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Solution Overview
Problem
Conventional ball end mills with linear cutting edges struggle to maintain machining efficiency when cutting both planar and curved surfaces, as they often compromise on surface roughness, making it difficult to improve efficiency for both surfaces simultaneously.
Innovation Solution
A ball end mill with a ball end cutting edge featuring large diameter edges formed in an arc shape, covering 80% to 120% of the ball radius, which allows for increased pick feed and improved surface roughness on both planar and curved surfaces, while maintaining a contour shape close to an arc, thereby enhancing machining efficiency.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Productivity
If linear cutting edges are used in a ball end cutting edge, then machining efficiency is improved, but surface roughness of the machined surface deteriorates
Solution Approach 1:
The patent applies curvature to the cutting edges by forming them as arcs with specific radius ratios. The first arc-shaped cutting edge has a curvature radius of 0.1 to 0.3 times the ball radius, while the second arc-shaped cutting edge has a curvature radius of 0.4 to 0.6 times the ball radius. This curved geometry allows the cutting edges to better conform to both planar and curved surfaces, improving surface roughness while maintaining machining efficiency through optimized arc configurations.
2Manufacturing precision
If arc-shaped ball end cutting edge with single curvature radius is used, then surface roughness of planar surface is improved, but machining efficiency decreases due to decreased pick feed
Solution Approach 1:
The patent divides the ball end cutting edge into multiple segmented cutting edges with different curvature radii. Specifically, it includes a first arc-shaped cutting edge with curvature radius of 0.1 to 0.3 times the ball radius and a second arc-shaped cutting edge with curvature radius of 0.4 to 0.6 times the ball radius. This segmentation allows different portions of the cutting edge to optimize for different surface types, enabling both improved surface roughness and maintained machining efficiency through multi-functional cutting zones.
3Productivity
If linear cutting edges are used to cut curved surface, then machining efficiency is improved, but surface roughness of the machined surface deteriorates
Solution Approach 1:
The patent employs arc-shaped cutting edges with specifically optimized curvature radii to match curved surface geometries. The first arc-shaped cutting edge (curvature radius: 0.1 to 0.3 times ball radius) and second arc-shaped cutting edge (curvature radius: 0.4 to 0.6 times ball radius) are designed to conform to various curved surface radii, enabling high surface roughness quality while maintaining the machining efficiency benefits of curved geometry engagement.
4Productivity
If multiple arc-shaped cutting edges with different curvature radii are formed, then both planar and curved surface machining efficiency is improved, but device complexity increases
Solution Approach 1:
The patent implements local quality by assigning different curvature radii to different regions of the ball end cutting edge. The first arc-shaped cutting edge (0.1 to 0.3 times ball radius) and second arc-shaped cutting edge (0.4 to 0.6 times ball radius) are strategically positioned to handle specific machining scenarios. This local optimization allows the tool to adapt to different surface geometries without requiring multiple tools, reducing overall system complexity while improving machining efficiency for both planar and curved surfaces.
Data Source
AI summary
Large diameter edges formed in arc shapes having curvature radii larger than a ball radius are provided. This allows improving surface roughness of a machined surface by cutting of a planar surface with the respective large diameter edges compared with cutting of a planar surface with a ball end cutting edge formed in an arc shape having a single curvature radius. Further, since the respective large diameter edges are formed in the arc shape, compared with cutting of a curved surface with linear cutting edges, surface roughness of a machined surface can be improved by cutting a curved surface with the respective large diameter edges. Accordingly, a pick feed during the cutting of the planar surface and the curved surface with the respective large diameter edges can be increased, and therefore machining efficiency in the cutting of both of the planar surface and the curved surface can be improved.


