Describing NC Smooth Path Based on the Adjustable Form of the Cubic Spline Interpolation Function

Abstract:

In order to describe the NC processing path better, and easy to realize path in a smooth transition of inflection point, this paper puts forward a kind of adjustable form of the cubic spline interpolation function; using the function can describe line, arc and freecurve, and realize smooth transition of inflection point through the control points which near the inflexion point. The spline function is of cubic polynomial, which calculation is simple, and it is easy to realize the operation of fast interpolation; it not only can describe various of NC paths, but also can be easy to realize the high speed of smooth processing between the NC orbit segments, which meets the needs of modern numerical control system for high speed, stability and flexible.

• Periodical: Applied Mechanics and Materials (Volumes 215-216)
• Pages: 1158-1164
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.215-216.1158
• Online since: November 2012
• Authors: Ai Ping Song, Jian Huang, Jian Ming Tao, Dan Ping Yi
• Keywords: High Speed Processing, NC Processing, Smooth Path, Spline Function

References

[1] Guo Ruifeng , Shi Zhenzhen, Li Peinai． Study on the Method of Smoothing Transfer for Segment Trajectory During CNC Continuous Machining [J]. Modular machine tool & automatic manufacturing technique, (2010), p.13 (In Chinese)

[2] Hu Jun, Xiao Lingjian, Wang Yuhan. An optimal feedrate model and solution algorithm for highspeed machine of small line blocks with 1ook-ahead [J]. International Journal of Advanced Manufacturing Technology, Vol.28(9):930-935, (2006)

DOI: 10.1007/s00170-004-1884-2

[3] Yang Kaiming; Shi Chuan; Ye Peiqing, etc. Smooth transfer control algorithm for continuous segment trajectory in computer numerical control systems [J]. Journal of Tsinghua University (Science and Technology), Vol.47(8):1295-1299, (2007) (In Chinese)

[4] Lv Qiang, Zhang Hui. Study on the method of increasing turning velocity during CNC continuous machining [J]. Manufacturing Technology & Machine Tool, 79-83, (2008) (In Chinese)

[5] He Bo, Luo Lei. Smoothing Algorithm for High Speed Machining at Corner [J].Journal of Shanghai Jiaotong University,Vol.42(1):83-86, (2008) (In Chinese)

[6] Shi Qun, You, Qingning, Huang Yuliang. Research on Reconstruction and Recursion Interpolation of Curve with High-speed and High-precision [J]. Journal of Mechanical Engineering, Vol.46 (3):193-198, (2010) (In Chinese)

DOI: 10.3901/jme.2010.03.193

[7] Erkorkmaz K, Ahinatas Y. High speed CNC system design．Part 1．Jerk limited trajectory generation and quintic spline interpolation [J]. International Journal of Machine and Manufacture, Vol.41(8):1487-1509, (2001)

DOI: 10.1016/s0890-6955(01)00002-5

[8] Zhang Deli, Zhou Laishui. Adaptive Algorithm for Feedrate Smoothing of High Speed Machining [J]. Acta Aeronautica Et Astronautica Sinica, Vol.(1):125-130,(2006) (In Chinese)

[9] Deng Siqing; Fang Kui; Tan Desong. C1 interpolating cubic spline curves and surface [J]. Computer Engineering and Applications,Vol.46(34):158-160, (2010) (In Chinese)