Numerical Control for Eccentric Polygon Machining
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Solution Overview
Problem
Conventional techniques cannot efficiently machine polygons at positions eccentric from the rotation center of a workpiece in a short time.
Innovation Solution
A numerical controller is designed with a first control unit to rotate the workpiece, a second control unit to rotate a rotary tool at a constant speed ratio with respect to the workpiece, and a third control unit to maintain a constant positional relationship between the rotary tool and the polygon's center axis, allowing for precise machining of polygons at eccentric positions.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Productivity
If a conventional milling cutter is used to machine a polygon, then the machining operation can be performed, but the machining time is excessively long
Solution Approach 1:
The patent applies dynamics by making the rotation speeds of the workpiece and rotary tool variable and controllable. The control device dynamically adjusts the rotation speeds according to the formula Vc/(n×D), where Vc is cutting speed, n is number of blades, and D is outer diameter. This dynamic speed control enables efficient polygon machining while managing system complexity through automated calculation and adjustment.
Solution Approach 2:
The patent changes the parameter of rotation speed from fixed to variable based on specific parameters (cutting speed, number of blades, outer diameter). By changing the rotation speed parameter dynamically according to the machining conditions and polygon geometry, the system achieves high productivity while the control device manages the complexity through parameter-based control logic.
2Productivity
If a rotary tool is used to machine a polygon at high speed, then productivity is improved, but the positional accuracy at eccentric positions deteriorates
Solution Approach 1:
The control device implements feedback by continuously monitoring the rotation speeds of both the workpiece and rotary tool, and automatically adjusting them to maintain the correct ratio Vc/(n×D). This feedback mechanism ensures that even at high machining speeds, the positional accuracy at eccentric positions is maintained by dynamically correcting any deviations in rotation speed ratio.
Solution Approach 2:
The system uses dynamic speed adjustment where the rotation speeds are not fixed but continuously adapted based on the required cutting conditions. The control device dynamically calculates and adjusts the speeds to maintain optimal cutting conditions at eccentric positions, thereby preserving manufacturing precision while achieving high productivity.
3Productivity
If the rotation speed of the rotary tool is increased to reduce machining time, then productivity improves, but the control complexity increases
Solution Approach 1:
The control device performs self-service by automatically calculating the required rotation speeds based on the input parameters (cutting speed, number of blades, outer diameter) and the established formula Vc/(n×D). The system serves itself by autonomously determining and adjusting the rotation speeds without requiring complex external control, thereby achieving high productivity while keeping control complexity manageable through self-contained control logic.
Data Source
AI summary
A numerical control device includes: a first control unit which rotates a workpiece about a rotation axis of the workpiece; a second control unit which rotates a rotary tool at a rotation speed with a constant ratio with respect to the rotation speed of the workpiece about the rotation axis, of the rotary tool, parallel to the rotation axis of the workpiece; and a third control unit which controls the relative positions of the rotation axis of the rotary tool and the center axis of a polygon so that the positional relationship between the rotation axis of the rotary tool and the center axis of the polygon is fixed, and the center axis of the polygon passes through a predetermined position of the workpiece and is parallel to the rotation axis of the workpiece.


