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NURBS Interpolator with Minimum Feedrate Fluctuation Based on Two-Level Parameter Compensation.

Mingxing Nie1, Tao Zhu1, Yue Li1

  • 1School of Computer Science, University of South China, Hengyang 421001, China.

Sensors (Basel, Switzerland)
|April 28, 2023
PubMed
Summary
This summary is machine-generated.

This study introduces a two-level parameter compensation method to minimize feedrate fluctuations in NURBS (non-uniform rational B-splines) interpolation for CNC machining. The method ensures high accuracy and efficiency for real-time applications.

Keywords:
NURBS interpolatorcurvature sensitive areafeedrate fluctuationparameter compensation

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Area of Science:

  • Manufacturing Engineering
  • Computer-Aided Manufacturing
  • Numerical Control Systems

Background:

  • Feedrate accuracy is critical for machining quality, tool longevity, and cycle times.
  • Existing methods for minimizing feedrate fluctuations in NURBS interpolation are often computationally intensive and unsuitable for real-time, high-precision machining.
  • Feedrate variations are particularly problematic in curvature-sensitive regions of NURBS paths.

Purpose of the Study:

  • To develop an accurate and efficient method for minimizing feedrate fluctuations in NURBS interpolator systems for CNC machining.
  • To address the limitations of existing methods, particularly their complexity and unsuitability for real-time applications.
  • To improve the precision and reliability of CNC machining, especially in complex, curved paths.

Main Methods:

  • A two-level parameter compensation strategy was developed: First-Level Parameter Compensation (FLPC) using Taylor series expansion for non-curvature-sensitive areas, and Second-Level Parameter Compensation (SLPC) using a Secant-based method for curvature-sensitive areas.
  • FLPC ensures chord trajectory matching the original arc trajectory with low computational cost.
  • SLPC addresses truncation errors from FLPC without requiring derivative calculations, effectively regulating feedrate fluctuations within tolerance.

Main Results:

  • The proposed method successfully eliminated feedrate fluctuations in simulations of butterfly-shaped NURBS curves, achieving rates below 0.01%.
  • The average computational time was 360 microseconds, demonstrating suitability for real-time and high-precision machining.
  • The method outperformed four other feedrate fluctuation elimination techniques in terms of effectiveness and feasibility.

Conclusions:

  • The developed two-level parameter compensation method is effective and efficient for minimizing feedrate fluctuations in NURBS interpolation for CNC machining.
  • The approach offers a practical solution for achieving high-precision and real-time machining, overcoming the limitations of previous methods.
  • This research contributes to advancements in CNC machining accuracy and performance, particularly for complex freeform surfaces defined by NURBS.