• CN:11-2187/TH
  • ISSN:0577-6686

机械工程学报 ›› 2022, Vol. 58 ›› Issue (11): 282-294.doi: 10.3901/JME.2022.11.282

• 制造工艺与装备 • 上一篇    下一篇

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基于半解析法的球头铣刀静态铣削力的建模

董永亨1, 李淑娟1, 张倩2, 洪贤涛3, 李鹏阳1, 李旗1, 李言1   

  1. 1. 西安理工大学机械与精密仪器工程学院 西安 710048;
    2. 桂林电子科技大学机电工程学院 桂林 541004;
    3. 成都航利(集团)实业有限公司 成都 610000
  • 收稿日期:2021-04-30 修回日期:2021-11-03 出版日期:2022-06-20 发布日期:2022-08-08
  • 通讯作者: 李淑娟(通信作者),女,1968年出生,博士,教授,博士研究生导师。主要研究方向为直接数字制造技术。E-mail:shujuanli@xaut.edu.cn
  • 作者简介:董永亨,男,1981年出生,博士,讲师。主要研究方向为数控加工质量控制。E-mail:DongYongheng@xaut.edu.cn
  • 基金资助:
    国家自然科学基金(52075439)和校博士启动金(102-451121001)资助项目

Modeling on Static Milling Force of Ball-end-milling Cutters Based on Semi-analytical Method

DONG Yongheng1, LI Shujuan1, ZHANG Qian2, HONG Xiantao3, LI Pengyang1, LI Qi1, LI Yan1   

  1. 1. School of Mechanical and Precision Instrument Engineering, Xi'an University of Technology, Xi'an 710048;
    2. School of Mechanical and Electrical Engineering, Guilin University of Electronic Science and Technology, Guilin 541004;
    3. Chengdu Hangli (Group) Industry Co., Ltd., Chengdu 610000
  • Received:2021-04-30 Revised:2021-11-03 Online:2022-06-20 Published:2022-08-08

摘要: 提出球头铣刀静态铣削力的半解析建模方法。基于齐次坐标变换原理建立考虑刀具姿态调整的刀齿切削运动轨迹方程。用球面代替刀齿扫掠面,将加工过程中刀具和工件瞬时接触区域(简称刀-工切触区域)的识别转换为其三条边界线和三个交点的求解问题,基于齐次坐标逆变换原理提出刀-工切触区域的半解析求解方法。通过Newton-Raphson数值法计算出参考线与刀齿实际扫掠面的交点,获得瞬时未变形切屑厚度。基于改进机械建模法求得微元铣削力,借助齐次坐标变换原理将微元铣削力转化至主轴随动坐标系,并通过积分法求解出瞬时静态铣削力。切削力验证试验表明,所提出的球头铣刀铣削力求解方法可以有效地预测铣削力,与改进Z-MAP法相比具有更高的计算效率。

关键词: 球头铣刀铣削, 铣削力, 刀-工切触区域, 未变形切屑厚度, 半解析法

Abstract: A semi-analytical modeling method for static milling force of ball-end-milling cutter is proposed. Based on the principle of homogeneous coordinate transformation, a ball-end-milling cutter tooth trajectory equation considering cutter jesture adjustment is established. A spherical surface is used to replace swept surface by the cutter tooth, the identification of instantaneous engagement area between cutter and workpiece (cutter-workpiece engagement area for short) in milling process is transformed into three boundary lines and three intersections. Based on the inverse transformation principle of homogeneous coordinate, a semi-analytical method for solving cutter-workpiece engagement area is proposed. Newton-raphson numerical method is used to calculate the intersection point between the reference line and the actual swept surface, and the instantaneous undeformed chip thickness is obtained. Based on the improved mechanical modeling method, the micro-element milling force is derived, and the micro-element milling force is converted to the spindle servo coordinate system by the principle of homogeneous coordinate transformation, and the instantaneous static milling force is obtained by the integral method. In the cutting force validation test, it is shown that the proposed method can effectively predict the milling force and has higher computational efficiency than the improved Z-MAP method.

Key words: ball-end-milling, milling force, cutter-workpiece engagement erea, undeformed chip thicknes, semi-analytical method

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