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

Abstract：To satisfy the need of high speed NC (numerical control) machining, an acceleration and deceleration (aec/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. 作者： Author： Hong-bin LENG  Yi-jie WU  Xiao-hong PAN 作者單位： Institute of Modern Manufacture Engineering, Zhejiang University, Hangzhou 310027, China 期 刊： 浙大學報（英文版）（A輯：應用物理和工程）   ISTICEISCI Journal： JOURNAL OF ZHEJIANG UNIVERSITY SCIENCE A 年，卷(期)： 2008, 9(3) 分類號： U441+.4 Keywords： High speed NC machining    Acceleration and deceleration (acc/dec) control model    Cubic speed curve    Discrete    機標分類號： TP3 TP2 機標關鍵詞： NC machining    high speed    control model    mathematical model    micro fabrication    control algorithm    data sampling    vibration in 基金項目： 國家高技術研究發展計劃(863計劃)，國家自然科學基金，浙江省自然科學基金

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