Full-discretization and semi-discretization for milling stability prediction: Some comments

被引：121
|
作者：
Insperger, Tamas [1 ]
机构：
[1] Budapest Univ Technol & Econ, Dept Appl Mech, H-1521 Budapest, Hungary
来源：
INTERNATIONAL JOURNAL OF MACHINE TOOLS & MANUFACTURE | 2010年 / 50卷 / 07期
关键词：
Milling stability; Semi-discretization; Full-discretization; Rate of convergence; DELAY-DIFFERENTIAL EQUATIONS; CHATTER STABILITY; SYSTEMS; FREQUENCY;
D O I：
10.1016/j.ijmachtools.2010.03.010
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The full-discretization method recently proposed by Ding et al. (2010) [1] for the stability analysis of milling processes is shown to be related to the semi-discretization method in the sense that both methods approximate the original DDE by a series of ODEs. Rate of convergence estimates are provided for the full-discretization method, for the zeroth-order, and for the first-order semi-discretization methods. Computation times are analyzed and compared for low and high spindle speed domains. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：658 / 662
页数：5
相关论文
共 50 条
  • [41] Effective and fast prediction of milling stability using a precise integration-based third-order full-discretization method
    Yang, Wen-An
    Huang, Chao
    Cai, XuLin
    You, Youpeng
    INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY, 2020, 106 (9-10): : 4477 - 4498
  • [42] An integrable semi-discretization of the Boussinesq equation
    Zhang, Yingnan
    Tian, Lixin
    PHYSICS LETTERS A, 2016, 380 (43) : 3575 - 3582
  • [43] An updated full-discretization milling stability prediction method based on the higher-order Hermite-Newton interpolation polynomial
    Ji, Yongjian
    Wang, Xibin
    Liu, Zhibing
    Wang, Hongjun
    Yan, Zhenghu
    INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY, 2018, 95 (5-8): : 2227 - 2242
  • [44] Semi-discretization method for delayed systems
    Insperger, T
    Stépán, G
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2002, 55 (05) : 503 - 518
  • [45] Effective and fast prediction of milling stability using a precise integration-based third-order full-discretization method
    Wen-An Yang
    Chao Huang
    XuLin Cai
    Youpeng You
    The International Journal of Advanced Manufacturing Technology, 2020, 106 : 4477 - 4498
  • [46] Stability lobes in milling including process damping and utilizing Multi-Frequency and Semi-Discretization Methods
    Ahmadi, K.
    Ismail, F.
    INTERNATIONAL JOURNAL OF MACHINE TOOLS & MANUFACTURE, 2012, 54-55 : 46 - 54
  • [47] Stability analysis for variable spindle speed milling with helix angle using an improved semi-discretization method
    Xie QiZhi
    Zhang QiChang
    Wang Wei
    Jin Gang
    Han JianXin
    SCIENCE CHINA-TECHNOLOGICAL SCIENCES, 2013, 56 (03) : 648 - 655
  • [48] Stability analysis for variable spindle speed milling with helix angle using an improved semi-discretization method
    QiZhi Xie
    QiChang Zhang
    Wei Wang
    Gang Jin
    JianXin Han
    Science China Technological Sciences, 2013, 56 : 648 - 655
  • [49] Stability analysis for variable spindle speed milling with helix angle using an improved semi-discretization method
    XIE QiZhi
    ZHANG QiChang
    WANG Wei
    JIN Gang
    HAN JianXin
    Science China(Technological Sciences), 2013, (03) : 648 - 655
  • [50] Stability analysis for variable spindle speed milling with helix angle using an improved semi-discretization method
    XIE QiZhi
    ZHANG QiChang
    WANG Wei
    JIN Gang
    HAN JianXin
    Science China(Technological Sciences), 2013, 56 (03) : 648 - 655
12345