Golden-Angle Cutting Edge Layout for Low-Mark Machining Tools
Find Innovative SolutionsGenerate Solutions
Solution Overview
Problem
Conventional machining tools face challenges in minimizing machining marks and reducing machining time due to limited space for cutting edges, leading to inefficient cutting line formation and increased vibration, which results in longer processing times and noise.
Innovation Solution
The machining tool is designed with cutting edges arranged at angular spacings that are integer multiples of the golden angle range, allowing for an ideal distribution of cutting bodies on the tool surface, reducing vibrations, and minimizing machining marks by ensuring continuous engagement without gaps, thus enhancing cutting performance and reducing machining time.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of manufacture
If cutting edges are arranged with conventional angular spacing (5° to 10°), then cutting edges can be eroded or ground in isolation from one another, but the number of teeth is limited and machining marks appear on the workpiece
Solution Approach 1:
The patent changes the angular spacing parameter from conventional values (5° to 10°) to specific values based on the golden angle (approximately 137.5°) and its integer multiples. This parameter change allows for a significantly increased number of cutting edges to be arranged on the tool surface while maintaining the capability for isolated erosion or grinding of individual cutting edges, thereby increasing the number of teeth and reducing machining marks without compromising manufacturability.
2Productivity
If more cutting edges are arranged on the tool surface, then the number of teeth increases and machining time decreases, but the space on the tool surface becomes insufficient
Solution Approach 1:
The patent utilizes the angular dimension around the axis of rotation more efficiently by employing spacing values based on the golden angle and its integer multiples. This dimensional optimization allows cutting edges to be distributed more uniformly across the available tool surface area, maximizing the number of teeth that can be accommodated without increasing the physical size of the tool, thereby resolving the space constraint while maintaining high productivity.
3Manufacturing precision
If cutting edges are arranged with uniform spacing, then the cutting line is continuous, but vibrations occur and machining marks are produced
Solution Approach 1:
The patent introduces asymmetry in the angular spacing arrangement by using specific values derived from the golden angle (approximately 137.5°) and its integer multiples, rather than uniform equally-spaced arrangements. This asymmetric distribution pattern disrupts the regularity that causes resonant vibrations, thereby reducing harmful vibrations and machining marks while maintaining continuous cutting line engagement through the overlapping arrangement of cutting edges.
Data Source
AI summary
A plurality of cutting bodies each having a cutting edge are arranged on the main body of a machining tool. During operation, the plurality of cutting bodies rotate in a direction of rotation which runs around an axis of rotation. Each cutting edge has exactly one reference point. The reference points are mutually spaced in the direction perpendicular to the direction of rotation. Reference points of cutting bodies that are directly adjacent in the direction perpendicular to the direction of rotation are arranged with mutual angular spacings with respect to the axis of rotation. The spacings are integer multiples of angle values which lie in an angle range of +/−5° with respect to the golden angle. The sum of the golden angle and an opposite angle produces the round angle. The ratio of golden angle to opposite angle is equal to the ratio of opposite angle to round angle.