A method for calculating profile error of a numerically controlled machining apparatus

By combining Newton's iteration method and the bisection method to calculate contour error, the real-time and accuracy problems of contour error calculation in CNC machining are solved, achieving efficient and reliable contour error calculation, which is suitable for high curvature trajectories.

CN121165618BActive Publication Date: 2026-06-23JIANGNAN UNIV +1
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Patent Information

Application Number
CN202511652807.8
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2025-11-12
Publication Date
2026-06-23
Estimated Expiration
2045-11-12

AI Technical Summary

Technical Problem

Existing technologies for calculating contour errors in CNC machining suffer from high costs, poor real-time performance, and low accuracy. In particular, the calculation accuracy deteriorates at high curvature trajectories, failing to meet the demands of high-end precision machining.

Method used

A method combining Newton's iteration method and the bisection method is adopted. The minimum value of the contour error evaluation function is determined by using the gradient descent method. By dynamically switching between Newton's iteration method and the bisection method, the target time point is updated iteratively within the potential time interval, and the contour error is calculated quickly and accurately.

Benefits of technology

It achieves high-precision, real-time calculation of contour errors, improves the reliability and robustness of calculation results, is suitable for high curvature trajectories, and provides a foundation for efficient precision control.

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Abstract

The application discloses a profile error calculation method for a numerical control machining device, and relates to the technical field of numerical control machining.The method takes a time point corresponding to an expected position point as an initial value of a Newton iteration method, determines a potential time interval in which a time point corresponding to a minimum value of a profile error evaluation function is located by using a gradient descent method, and then dynamically switches the Newton iteration method and a dichotomy method to accurately solve a target time point in the potential time interval, so that the method quickly and reliably converges to a local optimal point closest to the expected position point.The method has the speed of the Newton iteration method and the stability of the dichotomy method, improves the reliability and robustness of a profile error calculation result, and provides an efficient and stable calculation basis for subsequent profile precision control and real-time compensation.
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