5-Axis NC Rotation Control for Axis Error Correction
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Solution Overview
Problem
Conventional 5-axis processing machines require extensive calculation and time to correct rotation axis errors, leading to prolonged processing times due to the need for precise NC data and numerous processing points.
Innovation Solution
A 5-axis processing machine with a control unit that calculates and adjusts the rotation angles of two rotation axes based on axis vectors, allowing for quicker consideration of rotation axis errors by determining the actual rotation angles θ and Φ to efficiently move the tool and workpiece, thereby shortening processing time.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Manufacturing precision
If the conventional method is used to correct rotation axis error by calculating the angle between rotation axes and tool mounting position direction, then the rotation axis error can be corrected, but the processing time becomes excessively long
Solution Approach 1:
The invention changes the calculation parameters from using angle between rotation axes and tool mounting position direction to using rotation matrices and posture vectors. This parameter transformation enables more efficient computation of the correction rotation angles θ and φ, resolving the contradiction between maintaining precision and reducing processing time
Solution Approach 2:
The invention replaces the conventional geometric calculation method with a matrix-based computational approach. By using rotation matrices and posture vectors instead of traditional angle calculations, the system achieves faster computation while maintaining the accuracy of rotation axis error correction
2Manufacturing precision
If the number of processing points is increased to ensure precise NC data, then the processing precision is improved, but the processing time increases significantly
Solution Approach 1:
The invention uses posture vectors as a mathematical representation (copy) of the complex spatial relationships between tool and workpiece. This vector-based model allows for efficient calculation and interpolation of tool positions without requiring an excessive number of discrete processing points, thus maintaining precision while improving processing speed
Data Source
AI summary
A 5-axis processing machine includes a mounting table on which a tool and a work piece are placed; and a control unit; wherein the mounting table is moved relatively by three linear axes and two rotation axes based on NC data, the two rotation axes include a first axis and a second axis, when the control unit calculates a rotation angle of the two rotation axes, the control unit acquires an axis vector Na that specifies an actual first axis direction and an axis vector Nc that specifies an actual second axis direction, the control unit calculates a posture vector K that specifies a posture at a time of processing the work piece with respect to the tool from the NC data, the control unit calculates, as a solution of a following equation (4), an actual rotation angle θ around the first axis of the tool.