Machine Tool Burr Cutting Positioning for Through-Hole Ridge Lines
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Solution Overview
Problem
Existing methods for calculating the position of a tool to remove burrs from a workpiece are inaccurate, leading to insufficient or excessive cutting, which destabilizes the machining process.
Innovation Solution
A computation device calculates the first position of a tool to cut a ridge line based on machining target data, including the second tangent of a first ellipse formed by the cylindrical circumferential surface and a plane perpendicular to the ridge line, and the third tangent of a second ellipse formed by the circular cylinder and the plane, using a machine tool with a ball end mill to accurately remove burrs.
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 is simple, but the accuracy of tool position calculation deteriorates, leading to unstable cutting
Solution Approach 1:
The calculation method is segmented into distinct steps: acquiring machining target data, calculating the first ellipse from the cylindrical circumferential surface, calculating the second ellipse from the through hole, determining tangent lines to both ellipses, and computing the tool position based on these tangents. This segmentation transforms a complex monolithic calculation into manageable modular steps, improving accuracy while maintaining computational feasibility.
Solution Approach 2:
The invention transitions from conventional one-dimensional or two-dimensional calculation approaches to a three-dimensional elliptical coordinate system. By representing the workpiece geometry as ellipses in 3D space and calculating tangent lines in this elevated dimensional framework, the method achieves superior position accuracy that cannot be obtained through traditional simplified approaches.
2Manufacturing precision
If the tool position is calculated inaccurately, then the calculation process is faster, but the machining quality deteriorates with insufficient or excessive cutting
Solution Approach 1:
The method performs preliminary calculations of the first and second ellipses and their tangent lines before determining the final tool position. By pre-computing these geometric elements from the machining target data, the system establishes an accurate geometric framework in advance, ensuring high machining precision while organizing the computational workload efficiently to minimize overall calculation time.
Solution Approach 2:
The invention replaces traditional mechanical trial-and-error positioning methods with a mathematical computation system based on elliptical geometry and tangent line calculations. This substitution of mechanical approaches with computational mathematics enables precise tool position determination without physical experimentation, achieving both high accuracy and computational efficiency.
3Reliability
If conventional calculation methods are used, then the device complexity is low, but the stability of the cutting process deteriorates
Solution Approach 1:
The computation device incorporates feedback mechanisms by continuously calculating the tool position based on the relationship between the first and second ellipses and their tangent lines. This mathematical feedback system ensures that the tool position is constantly adjusted to maintain optimal cutting conditions, thereby stabilizing the cutting process through precise, real-time position determination derived from the geometric model.
Data Source
AI summary
A computation device computes a position of a tool for cutting a ridge line formed by a circumferential wall surface and a cylinder circumferential surface, the circumferential wall surface forming a through-hole having the shape of a cylinder and penetrating through an object being machined. The computation device calculates the position on the basis of a second tangent of a first ellipse formed by the cylinder circumferential surface and a planar surface perpendicular to a first tangent of the ridge line, a third tangent of a second ellipse formed by the cylinder and the planar surface, a prescribed machining width, and the radius of the tool.