高速数控加工中NURBS曲线拟合及插补技术的研究

摘要/Abstract

摘要：

通过分析现代数控系统中自由曲面插补算法的特点，提出了基于最小二乘法的NURBS曲线拟合算法和基于弧长参数补偿的NURBS插补技术。采用最小二乘法拟合NURBS曲线，能获得光滑的刀具加工路径,并且在一定范围内能复原曲线的设计轮廓。参数补偿的NURBS插补方法，以泰勒展开法得到的插补参数作为临时插补点,利用该插补法能显著减小速度波动，可将速度控制在理想的范围内,可进一步提高加工精度并减小数控机床的振动。仿真实验表明：该算法简明高效、易于实现，能够满足现代数控系统的要求。

关键词: CNC, NURBS曲线, 最小二乘法, 参数补偿

Abstract:

The algorithm of NURBS curve fitting was put forward based on least square method,and the NURBS interpolation technology based on arc length parameter compensation.By the analyses of characteristics of the free surface interpolation algorithm of modern CNC system,NURBS curve fitted with least square method could achieve a smooth tool path and reconstruct designed outline curves to some extents.The NURBS method of parameter compensation,which used interpolation parameters to be temporary interpolation points obtained by the Taylor expansion method,was applied to ensure that the speed rate fluctuations could be decreased effectively,and that the speed was controlled within the ideal range,and that the process precision was further improved,and that the vibration of machine was reduced.The simulation results show that the algorithm is simple and efficient,and easy to be implemented,which can satisfy the demands of modern CNC system.

Key words: CNC;NURBS , curve;least square , method;parameter , compensation

中图分类号:

TH166
TP65

杨萍;杨明泰;张阳阳. 高速数控加工中NURBS曲线拟合及插补技术的研究[J]. 中国机械工程, 2015, 26(12): 1630-1634.

Yang Ping;Yang Mingtai;Zhang Yangyang. Research on Technologies of NURBS Curve Fitting and Interpolation in High Speed NC Machining[J]. China Mechanical Engineering, 2015, 26(12): 1630-1634.

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