Modeling of Geometric and Thermal Complex Positioning Error of CNC Machine Tools Based on Cubic Spline Interpolation

Abstract

Abstract: Abstract： Based on the analysis of the mathematical laws of machine error data up to the thermal equilibrium, the geometric error and thermal error were separated and the mathematical model for geometric and thermal error was established using the cubic spline interpolation algorithm and the residual error of the linear fitting. The experimental results show that the proposed model based on pressing boundary condition can effectively fit the positioning error curve and significantly improve the positioning accuracy of CNC machining by up to 80% at least. The method can be used for positioning error compensation in different processing times or at different temperatures. The modeling process is simple and fast and the result is applicative.

Key words: computer numerical control(CNC) machine tools, thermal error, geometric error, cubic spline interpolation, error modeling

CLC Number:

TH 161

TUO Zhanyu,HUANG Yiqiao,SHEN Muwen,YANG Jianguo. Modeling of Geometric and Thermal Complex Positioning Error of CNC Machine Tools Based on Cubic Spline Interpolation [J]. Journal of Shanghai Jiaotong University, 2016, 50(05): 668-672.

References

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