Adaptive Curve Interpolation Method Based on Contour Error Constraint

Abstract

The invention discloses an adaptive curve interpolation method based on contour error constraint, belongs to the technical field of precision high-efficiency numerical control machining, and especially relates to a parameter spline curve interpolation feeding speed adaptive planning method based on contour error constraint. The method comprises: establishing an incidence relation model among contour errors, feeding speed, servo system parameters, and curve curvature for a typical second-order feeding servo system, and computing, by using current interpolation point curvature information and a contour error constraint value, a current interpolation point processing feeding speed permissible value under the contour error constraint; determining a magnitude relation between the permissible feeding speed of the contour error constraint and a program-preset speed, and using a minor value as the current interpolation point adaptive feeding speed value; and computing the curve parameters of a next interpolation point by using the adaptive feeding speed and achieving parameter curve interpolation considering the contour error constraint. The method is low in calculated amount, good in practicality, and capable of effectively increasing curve interpolation processing locus contour precision.

Description

technical field [0001] The invention belongs to the technical field of precision and high-efficiency numerical control machining, and in particular relates to a parametric spline curve interpolation feed speed self-adaptive planning method based on contour error constraints. Background technique [0002] With the rapid development of aerospace, energy and power and other major engineering fields, the manufacturing industry has increasing requirements for the processing accuracy and processing efficiency of high-end equipment with complex curved surfaces and critical parts. In view of the fact that the parametric spline curve can accurately represent any free-form curved tool path, overcome the approximation error generated in the process of replacing the curved tool path with tiny straight lines and arc segments, and improve the machining accuracy of the curved surface, so the parametric curve interpolation technology has been recognized in the high-end numerical control fiel...

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Problems solved by technology

The document "Smooth feedrate planning for continuous short line toolpath with contour error constraint", JingchuanDong et al., International Journal of Machine Tools and Manufacture, 2014, 76: 1-12, this document proposes a feed rate planning method with contour error constraints, however This document simplifies the feed axis servo system into a first-order system for discussion, and the degree of simplification is too high, which may cause the response of the simplified system and the original system to be inconsistent when the frequency is large

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