• CN:11-2187/TH
  • ISSN:0577-6686

机械工程学报 ›› 2019, Vol. 55 ›› Issue (1): 52-61.doi: 10.3901/JME.2019.01.052

• 机械动力学 • 上一篇    下一篇


代月帮, 魏兆成, 李宏坤, 张孟哲   

  1. 大连理工大学机械工程学院 大连 116024
  • 收稿日期:2018-03-15 修回日期:2018-09-21 出版日期:2019-01-05 发布日期:2019-01-05
  • 通讯作者: 李宏坤(通信作者),男,1974年出生,博士,教授,博士研究生导师。主要研究方向为机械系统动态测控、微弱信号特征提取。E-mail:lihk@dlut.edu.cn
  • 作者简介:代月帮,男,1989年出生,博士研究生。主要研究方向为颤振稳定域预报。E-mail:daiyuebang@sohu.com
  • 基金资助:

Research on Prediction Method of Stability Lobe Diagram for Ball-end Mill Based on Engagement

DAI Yuebang, WEI Zhaocheng, LI Hongkun, ZHANG Mengzhe   

  1. School of Mechanical Engineering, Dalian University of Technology, Dalian 116024
  • Received:2018-03-15 Revised:2018-09-21 Online:2019-01-05 Published:2019-01-05

摘要: 运用半解析法精准搭建出球头铣刀与工件接触区域边界的投影方程,对铣削系统时滞动力学方程进行全离散时域数值求解,在单齿周期内球头铣刀视为圆弧切削的基础上,通过接触区域投影和切削刃投影不同时刻的关系,确定出数值求解方程中所需要的瞬时参与切削刀刃的实际切削部位,利用Floquet定理获得了不同转速下的临界切削深度,构建出了高精度的球头铣刀颤振稳定域叶瓣图,并在三轴数控机床上进行了试验验证,试验结果与预测结果相符合,表明了该方法的正确性。同时,与传统方法相比,这里所提供的方法拥有较高的预测精度,最后分析了不同参数对颤振稳定域的影响规律,为叶瓣图指导实际加工奠定了基础。

关键词: 颤振, 接触区域, 球头铣刀, 稳定域叶瓣图

Abstract: The equations for the boundaries of ball-end mill-workpiece engagement (BWE) are precisely established by a semi-analytical method at first. The differential dynamic equation derived from the ideal 2-Dof milling system is solved by the complete discrete method. Based on the cutter within a tooth passing period considered as arc path cutting, the instantaneous cutting positions required in the numerical solution are identified by the relationship of cutter edge and BWE. The stability lobe diagram is constructed by Floquet theory, which is subsequently verified on a three-axis NC machine tool. The experimental results are in good agreement with the predicted results, indicating the validity of this method. In contrast to traditional method, the proposed method shows higher prediction precision. The influence laws of different parameters on stability are analyzed at last, which can give a help for the actual machining.

Key words: ball-end mill, chatter, engagement, stability lobe diagram