Machine Tool Toolpath Calculation for Ridge Line Burr Cutting
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Solution Overview
Problem
Existing methods for calculating the position of a tool to remove burrs or chamfer a workpiece are inaccurate, leading to insufficient or excessive cutting, which affects the stability of the machining process.
Innovation Solution
A computation device calculates the first position of a tool to cut a ridge line on a workpiece by using machining target data, including the second tangent line to a first ellipse and third tangent line to a second ellipse, based on the tool's third radius and angle, to accurately determine the tool's position for stable cutting.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If existing methods (first method or second method) are used to calculate machining depth, then the calculation process can be completed, but the accuracy of the calculated tool position is insufficient, leading to imprecise cutting
Solution Approach 1:
The patent transforms the tool position calculation from using simple geometric parameters (chamfering width) or iterative numerical methods (Newton's method) to using precise mathematical parameters based on ellipse geometry. By calculating the intersection point of two tangent lines (one to the workpiece outer surface ellipse and one to the through-hole inner surface ellipse), the system achieves accurate determination of the tool center position that ensures the cutting edge contacts the ridge line at the exact desired machining depth.
2Reliability
If the tool position is calculated using conventional methods, then the calculation can be performed, but the cutting process becomes unstable with insufficient or excessive cutting occurring
Solution Approach 1:
The patent implements a precise geometric model that provides feedback on the exact tool position relative to the workpiece geometry. By using the tangent line intersection method, the system continuously determines the correct tool center position that maintains stable contact with the ridge line, preventing both insufficient cutting (when the tool is too far) and excessive cutting (when the tool is too close), thereby ensuring reliable and stable cutting process.
3Device complexity
If simple calculation methods are used for tool positioning, then the computational process is simple, but the chamfering width becomes smaller and the calculation is not accurate
Solution Approach 1:
The patent transitions from one-dimensional or simple two-dimensional calculation approaches to a comprehensive two-dimensional ellipse geometry approach. By considering the cross-sectional view and modeling both the workpiece outer surface and through-hole inner surface as ellipses, the system calculates tangent lines in this二维 plane to precisely determine the tool center position, achieving high accuracy without requiring complex three-dimensional iterative methods.
Data Source
AI summary
A calculation device calculates a position of an implement for cutting a ridge line formed by a cylinder circumferential surface and a surrounding wall surface forming a through-hole penetrating a workpiece in the shape of a column. The calculation device calculates the position of the implement on the basis of: a second tangent of a first ellipse formed by the cylinder circumferential surface and a plane perpendicular to a first tangent of the ridge line; a third tangent of a second ellipse formed by the column and said plane; a prescribed processing width; the radius of the implement; and the angle of the point angle of the implement.