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Research on cubic polynomial acceleration and deceleration control model for high speed NC machining

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Abstract

To satisfy the need of high speed NC (numerical control) machining, an acceleration and deceleration (acc/dec) control model is proposed, and the speed curve is also constructed by the cubic polynomial. The proposed control model provides continuity of acceleration, which avoids the intense vibration in high speed NC machining. Based on the discrete characteristic of the data sampling interpolation, the acc/dec control discrete mathematical model is also set up and the discrete expression of the theoretical deceleration length is obtained furthermore. Aiming at the question of hardly predetermining the deceleration point in acc/dec control before interpolation, the adaptive acc/dec control algorithm is deduced from the expressions of the theoretical deceleration length. The experimental result proves that the acc/dec control model has the characteristic of easy implementation, stable movement and low impact. The model has been applied in multi-axes high speed micro fabrication machining successfully.

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Authors and Affiliations

  1. Institute of Modern Manufacture Engineering, Zhejiang University, Hangzhou, 310027, China

    Hong-bin Leng, Yi-jie Wu & Xiao-hong Pan

Authors
  1. Hong-bin Leng
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  2. Yi-jie Wu
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  3. Xiao-hong Pan
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Corresponding author

Correspondence to Yi-jie Wu.

Additional information

Project supported by the Hi-Tech Research and Development Program (863) of China (No. 2006AA04Z233), the National Natural Science Foundation of China (No. 50575205) and the Natural Science Foundation of Zhejiang Province (Nos. Y104243 and Y105686), China

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Leng, Hb., Wu, Yj. & Pan, Xh. Research on cubic polynomial acceleration and deceleration control model for high speed NC machining. J. Zhejiang Univ. Sci. A 9, 358–365 (2008). https://doi.org/10.1631/jzus.A071351

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  • DOI: https://doi.org/10.1631/jzus.A071351

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