Chaotic characteristic of a linear oscillator coupled with vibro-impact nonlinear energy sink

被引：35
|
作者：
Li, Tao [1 ]
Lamarque, Claude-Henri [2 ]
Seguy, Sebastien [1 ]
Berlioz, Alain [1 ]
机构：
[1] Univ Toulouse, ICA, CNRS INSA ISAE Mines Albi UPS, 3 Rue Caroline Aigle, F-31400 Toulouse, France
[2] Univ Lyon, LTDS UMR CNRS 5513, Ecole Natl Travaux Publ Etat, 3 Rue Maurice Audin, F-69518 Vaulx En Velin, France
来源：
NONLINEAR DYNAMICS | 2018年 / 91卷 / 04期
关键词：
Chaos; Lyapunov exponent; Vibro-impact; Nonlinear energy sink; Targeted energy transfer; Impact damper; LYAPUNOV EXPONENTS; FORCED SYSTEM; DYNAMICS; MAPS;
D O I：
10.1007/s11071-017-4015-y
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The chaotic characteristic of a system with vibro-impact nonlinear energy sink is studied here. An analytical method is developed to calculate Lyapunov exponent. The mechanism by which impact results in chaos is further clarified rather than only by the calculation of Lyapunov exponent. In addition, an approach to identifying Lyapunov exponents from experimental data is proposed, and the estimated results are consistent with numerical results.
引用
收藏
页码：2319 / 2330
页数：12
相关论文
共 50 条
  • [21] Activation characteristic of a vibro-impact energy sink and its application to chatter control in turning
    Li, T.
    Qiu, D.
    Seguy, S.
    Berlioz, A.
    JOURNAL OF SOUND AND VIBRATION, 2017, 405 : 1 - 18
  • [22] The Noise-Induced Chaotic Transition in a Vibro-Impact Oscillator
    Feng, Jinqian
    Wang, Tao
    Xu, Wei
    MATERIALS AND COMPUTATIONAL MECHANICS, PTS 1-3, 2012, 117-119 : 347 - +
  • [23] Analysis of chaotic saddles in a nonlinear vibro-impact system
    Feng, Jinqian
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2017, 48 : 39 - 50
  • [24] Dynamics of forced system with vibro-impact energy sink
    Gendelman, O. V.
    Alloni, A.
    JOURNAL OF SOUND AND VIBRATION, 2015, 358 : 301 - 314
  • [25] Dynamics of an electromagnetic vibro-impact nonlinear energy sink, applications in energy harvesting and vibration absorption
    Haiqin Li
    Ang Li
    Xianren Kong
    Huai Xiong
    Nonlinear Dynamics, 2022, 108 : 1027 - 1043
  • [26] Dynamics of an electromagnetic vibro-impact nonlinear energy sink, applications in energy harvesting and vibration absorption
    Li, Haiqin
    Li, Ang
    Kong, Xianren
    Xiong, Huai
    NONLINEAR DYNAMICS, 2022, 108 (02) : 1027 - 1043
  • [27] A Vibro-Impact Oscillator-Based Energy Harvester
    Maheshwari, Shubhanshu
    Muralidharan, Aravindan
    Ali, Shaikh Faruque
    Litak, Grzegorz
    PERSPECTIVES IN DYNAMICAL SYSTEMS I-APPLICATIONS, DSTA 2021, 2024, 453 : 369 - 386
  • [28] Dynamics of Cubic and Vibro-Impact Nonlinear Energy Sink: Analytical, Numerical, and Experimental Analysis
    Li, Tao
    Seguy, Sebastien
    Berlioz, Alain
    JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME, 2016, 138 (03):
  • [29] ON THE STATISTICS OF CHAOTIC VIBRO-IMPACT
    WHISTON, GS
    JOURNAL OF SOUND AND VIBRATION, 1987, 116 (03) : 598 - 603
  • [30] Melnikov's method for a general nonlinear vibro-impact oscillator
    Xu, Wei
    Feng, Jinqian
    Rong, Haiwu
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (1-2) : 418 - 426
12345