A METHOD OF REAL-TIME NURBS INTERPOLATION WITH CONFINED CHORD ERROR FOR CNC SYSTEMS

Authors

  • Quang Huu Nguyen Hanoi University of Science and Technology
  • Long Tien Banh Hanoi University of Science and Technology

DOI:

https://doi.org/10.15625/2525-2518/55/5/9206

Keywords:

CNC interpolation, CAD/CAM, NURBS, DeBoor’s algorithm

Abstract

This paper presents a method of real-time CNC interpolation for free-form NURBS curves. The interpolation algorithm is based on second order Taylor’s expansion with the principle part being a formula for updating the parametric value u after each sampling period. With the updated value of u, a new interpolated point is calculated based on the DeBoor’s algorithm. In this paper, an efficient method of limiting chord error introduced by the interpolation algorithm is also presented with the basic idea of reducing machining feedrate at positions with a radius of curvature smaller than a critical value.

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Published

2017-10-20

Issue

Section

Mechanical Engineering - Mechatronics