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A NURBS interpolation method with minimal feedrate fluctuation for CNC machine tools.
- Source :
-
International Journal of Advanced Manufacturing Technology . May2015, Vol. 78 Issue 5-8, p1241-1250. 10p. 1 Color Photograph, 2 Diagrams, 3 Charts, 4 Graphs. - Publication Year :
- 2015
-
Abstract
- To reduce the feedrate fluctuation in non-uniform rational B-spline (NURBS) interpolation caused by approximation errors of interpolation methods, a new NURBS interpolation method with minimal feedrate fluctuation for CNC machine tools is proposed to obtain the sampling curve parameter by solving a quartic equation with respect to the curve parameter increment according to the scheduled feedrate using Ferrari's formulas and Shengjin's formulas. Firstly, the second-order Taylor expansion is applied on the numerator and denominator in the NURBS representation separately with unknown curve parameter increment. Then, a quartic equation with respect to the curve parameter increment is formed and solved by Ferrari's formulas and Shengjin's formulas efficiently, which can achieve minimal feedrate fluctuation in real-time interpolation. In principle, the proposed method can totally eliminate the feedrate fluctuation for second-degree NURBS curves and can reduce it to a satisfied value for other high-degree NURBS curves. Finally, numerical simulations and experiments are conducted to verify the feasibility and applicability of the proposed method. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02683768
- Volume :
- 78
- Issue :
- 5-8
- Database :
- Academic Search Index
- Journal :
- International Journal of Advanced Manufacturing Technology
- Publication Type :
- Academic Journal
- Accession number :
- 102275260
- Full Text :
- https://doi.org/10.1007/s00170-014-6753-z