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

被引:129
作者
Insperger, Tamas [1 ]
机构
[1] Budapest Univ Technol & Econ, Dept Appl Mech, H-1521 Budapest, Hungary
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 15 条
  • [1] Chatter stability of milling in frequency and discrete time domain
    Altintas, Y.
    Stepan, G.
    Merdol, D.
    Dombovari, Z.
    [J]. CIRP JOURNAL OF MANUFACTURING SCIENCE AND TECHNOLOGY, 2008, 1 (01) : 35 - 44
  • [2] Analytical prediction of chatter stability in milling - Part 1: General formulation
    Budak, E
    Altintas, Y
    [J]. JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 1998, 120 (01): : 22 - 30
  • [3] Stability of linear time-periodic delay-differential equations via Chebyshev polynomials
    Butcher, EA
    Ma, HT
    Bueler, E
    Averina, V
    Szabo, Z
    [J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2004, 59 (07) : 895 - 922
  • [4] A full-discretization method for prediction of milling stability
    Ding, Ye
    Zhu, LiMin
    Zhang, XiaoJian
    Ding, Han
    [J]. INTERNATIONAL JOURNAL OF MACHINE TOOLS & MANUFACTURE, 2010, 50 (05) : 502 - 509
  • [5] The effect of serration on mechanics and stability of milling cutters
    Dombovari, Zoltan
    Altintas, Yusuf
    Stepan, Gabor
    [J]. INTERNATIONAL JOURNAL OF MACHINE TOOLS & MANUFACTURE, 2010, 50 (06) : 511 - 520
  • [6] On the semi-discretization method for feedback control design of linear systems with time delay
    Elbeyli, O
    Sun, JQ
    [J]. JOURNAL OF SOUND AND VIBRATION, 2004, 273 (1-2) : 429 - 440
  • [7] Improving the computational efficiency and accuracy of the semi-discretization method for periodic delay-differential equations
    Henninger, Christoph
    Eberhard, Peter
    [J]. EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 2008, 27 (06) : 975 - 985
  • [8] Semi-discretization method for delayed systems
    Insperger, T
    Stépán, G
    [J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2002, 55 (05) : 503 - 518
  • [9] Updated semi-discretization method for periodic delay-differential equations with discrete delay
    Insperger, T
    Stépán, G
    [J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2004, 61 (01) : 117 - 141
  • [10] On the higher-order semi-discretizations for periodic delayed systems
    Insperger, Tamas
    Stepan, Gabor
    Turi, Janos
    [J]. JOURNAL OF SOUND AND VIBRATION, 2008, 313 (1-2) : 334 - 341