Sliding bifurcations and chaos induced by dry friction in a braking system

被引：29
作者：
Yang, F. H. [1 ]
Zhang, W. [1 ]
Wang, J. [1 ]
机构：
[1] Beijing Univ Technol, Coll Mech Engn, Beijing 100022, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2009年 / 40卷 / 03期
基金：
中国国家自然科学基金; 美国国家科学基金会; 中国博士后科学基金;
关键词：
STICK-SLIP CHAOS; C-BIFURCATIONS; OSCILLATIONS; VIBRATION; DYNAMICS; NOISE;
D O I：
10.1016/j.chaos.2007.08.079
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, non-smooth bifurcations and chaotic dynamics are investigated for a braking system. A three-degree-of-freedom model is considered to capture the complicated nonlinear characteristics, in particular, non-smooth bifurcations in the braking system. The stick-slip transition is analyzed for the braking system. From the results of numerical simulation, it is observed that there also exist the grazing-sliding bifurcation and stick-slip chaos in the braking system. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1060 / 1075
页数：16
相关论文
共 30 条
  • [1] [Anonymous], P EUR CONTR C PORT
  • [2] [Anonymous], 2000, THESIS TU EINDHOVEN
  • [3] Melnikov's method and stick-slip chaotic oscillations in very weakly forced mechanical systems
    Awrejcewicz, J
    Holicke, MM
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (03): : 505 - 518
  • [4] Stick-slip chaos detection in coupled oscillators with friction
    Awrejcewicz, J
    Sendkowski, D
    [J]. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2005, 42 (21-22) : 5669 - 5682
  • [5] How to predict stick-slip chaos in R4
    Awrejcewicz, J
    Sendkowski, D
    [J]. PHYSICS LETTERS A, 2004, 330 (05) : 371 - 376
  • [6] Local analysis of C-bifurcations in n-dimensional piecewise-smooth dynamical systems
    Di Bernardo, M
    Feigin, MI
    Hogan, SJ
    Homer, ME
    [J]. CHAOS SOLITONS & FRACTALS, 1999, 10 (11) : 1881 - 1908
  • [7] Bifurcations of dynamical systems with sliding: derivation of normal-form mappings
    di Bernardo, M
    Kowalczyk, P
    Nordmark, A
    [J]. PHYSICA D-NONLINEAR PHENOMENA, 2002, 170 (3-4) : 175 - 205
  • [8] Self-oscillations and sliding in relay feedback systems: Symmetry and bifurcations
    Di Bernardo, M
    Johansson, KH
    Vasca, F
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2001, 11 (04): : 1121 - 1140
  • [9] Grazing and border-collision in piecewise-smooth systems: A unified analytical framework
    di Bernardo, M
    Budd, CJ
    Champneys, AR
    [J]. PHYSICAL REVIEW LETTERS, 2001, 86 (12) : 2553 - 2556
  • [10] DIBERNARDO M, CLASSIFICAT IN PRESS
123