Stochastic dynamics of metal cutting: Bifurcation phenomena in turning

被引：26
作者：
Gradisek, J
Grabec, I
Siegert, S
Friedrich, R
机构：
[1] Univ Ljubljana, Fac Mech Engn, SI-10000 Ljubljana, Slovenia
[2] Univ Stuttgart, Inst Theoret Phys 3, D-70550 Stuttgart, Germany
来源：
MECHANICAL SYSTEMS AND SIGNAL PROCESSING | 2002年 / 16卷 / 05期
关键词：
D O I：
10.1006/mssp.2001.1403
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
A method for analysis of stochastic processes is presented which makes feasible the extraction of deterministic and random components of process dynamics directly from data. The method is applied to time series from metal cutting. Three regimes of turning are treated: (a) chatter-free cutting, (b) cutting accompanied by a strong, and (c) by a weak chatter. It is shown that the transition from chatter-free cutting to chatter exhibits some properties of the Hopf bifurcation from a stable fixed point to a stable limit cycle. Other possible applications of the method are mentioned. (C) 2002 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：831 / 840
页数：10
相关论文
共 18 条
  • [1] ANALYSIS OF SENSOR SIGNALS SHOWS TURNING ON A LATHE EXHIBITS LOW-DIMENSIONAL CHAOS
    BUKKAPATNAM, STS
    LAKHTAKIA, A
    KUMARA, SRT
    [J]. PHYSICAL REVIEW E, 1995, 52 (03): : 2375 - 2387
  • [2] Statistical properties of a turbulent cascade
    Friedrich, R
    Peinke, J
    [J]. PHYSICA D, 1997, 102 (1-2): : 147 - 155
  • [3] GOVEKAR E, 1994, PROGR ACOUSTIC EMISS, V7, P613
  • [4] Time series analysis in metal cutting: Chatter versus chatter-free cutting
    Gradisek, J
    Govekar, E
    Grabec, I
    [J]. MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 1998, 12 (06) : 839 - 854
  • [5] Analysis of time series from stochastic processes
    Gradisek, J
    Siegert, S
    Friedrich, R
    Grabec, I
    [J]. PHYSICAL REVIEW E, 2000, 62 (03): : 3146 - 3155
  • [6] Chatter onset in non-regenerative cutting: A numerical study
    Gradisek, J
    Govekar, E
    Grabec, I
    [J]. JOURNAL OF SOUND AND VIBRATION, 2001, 242 (05) : 829 - 838
  • [7] Using coarse-grained entropy rate to detect chatter in cutting
    Gradisek, J
    Govekar, E
    Grabec, I
    [J]. JOURNAL OF SOUND AND VIBRATION, 1998, 214 (05) : 941 - 952
  • [8] GRADISEK J, 1999, THESIS U LJUBLJANA L
  • [9] Haken H., 1993, ADV SYNERGETICS
  • [10] Hooke JC, 1964, P 4 MTDR, P97
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