LOCAL STABILIZATION OF THE QUASIPERIODIC RESPONSE OF THE GENERALIZED VAN DER POL OSCILLATOR

被引:1
|
作者
Fischer, C. [1 ]
Naprstek, J. [1 ]
机构
[1] Inst Theoret & Appl Mech, Prosecka 76, Prague 19000 9, Czech Republic
来源
关键词
Generalized van der Pol equation; Quasiperiodic response; Sub- and Superharmonic synchronization; Beating effect; Numerical simulation;
D O I
10.21495/71-0-105
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
The generalized van der Pol equation is often used for description of various effects originating in the aero-elasticity of large slender engineering structures. This applies mainly to the quasiperiodic beatings that can be encountered especially in lock-in regimes when the vortex frequency becomes close to the structure eigenfrequency with a small detuning. The current paper presents numerical analysis of influence of the sub- or superharmonic excitation on the character of the response of a generalized van der Pol oscillator. This way it complements two previous papers of the authors dealing with stability analysis of certain types of the stationary periodic or quasiperiodic response of the system under study.
引用
收藏
页码:105 / 108
页数:4
相关论文
共 50 条
  • [41] GENERALIZED VAN-DER-POL NUMBERS
    HOWARD, FT
    MATHEMATISCHE NACHRICHTEN, 1970, 44 (1-6) : 181 - &
  • [42] An Iteration Procedure with Application to Van der Pol Oscillator
    Herisanu, Nicolae
    Marinca, Vasile
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2009, 10 (03) : 353 - 361
  • [43] Injection locking phenomena of Van der Pol oscillator
    Tang Zhikai
    Jiang Yonghua
    Liu Longhe
    Hao Yuan
    Ling Xiang
    2005 ASIA-PACIFIC MICROWAVE CONFERENCE PROCEEDINGS, VOLS 1-5, 2005, : 3173 - 3175
  • [44] RESISTANCE-LOADED VAN DER POL OSCILLATOR
    HALL, KS
    ELECTRONIC ENGINEERING, 1968, 40 (486): : 473 - &
  • [45] The Asymmetric Periodically Forced Van Der Pol Oscillator
    Alraddadi, Ibrahim
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2025, 18 (01):
  • [46] Nonlinear analysis in a modified van der Pol oscillator
    Braga, Denis de Carvalho
    de Faria, Nivaldo Goncalves
    Mello, Luis Fernando
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 245 : 474 - 486
  • [47] On the Formation of Feedbacks in the Van der Pol Spatial Oscillator
    Zhuravlev, V. F.
    MECHANICS OF SOLIDS, 2020, 55 (07) : 926 - 931
  • [48] VAN DER POL OSCILLATOR WITH DELAYED AMPLITUDE LIMITING
    NAYFEH, AH
    PROCEEDINGS OF THE INSTITUTE OF ELECTRICAL AND ELECTRONICS ENGINEERS, 1967, 55 (01): : 111 - &
  • [49] BIFURCATION STRUCTURE OF THE DRIVEN VAN DER POL OSCILLATOR
    Mettin, R.
    Parlitz, U.
    Lauterborn, W.
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1993, 3 (06): : 1529 - 1555
  • [50] The buffer phenomenon in the Van Der Pol oscillator with delay
    Kolesov, AY
    Rozov, NK
    DIFFERENTIAL EQUATIONS, 2002, 38 (02) : 175 - 186