BIFURCATIONS NEAR 1/2 SUBHARMONIC RESONANCE IN A STRUCTURAL DYNAMICS MODEL

被引：3
|
作者：
KLOSTER, N [1 ]
KNUDSEN, C [1 ]
机构：
[1] TECH UNIV DENMARK,CTR CHAOS & TURBULENCE STUDIES,DK-2800 LYNGBY,DENMARK
来源：
CHAOS SOLITONS & FRACTALS | 1995年 / 5卷 / 01期
关键词：
D O I：
10.1016/0960-0779(94)00147-I
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we present a numerical bifurcation study of the dynamical behavior of a structural dynamics model of a periodically forced suspended cable. One and two-parameter diagrams of local bifurcation phenomena near the subharmonic 1:2 resonance are computed. Various global bifurcation phenomena near the resonance, including transitions to chaotic oscillations, are exposed by computation of invariant manifolds of saddle cycles.
引用
收藏
页码：55 / 66
页数：12
相关论文
共 50 条
  • [11] Dynamics and geometry near resonant bifurcations
    Broer, Henk W.
    Holtman, Sijbo J.
    Vegter, Gert
    Vitolo, Renato
    REGULAR & CHAOTIC DYNAMICS, 2011, 16 (1-2): : 39 - 50
  • [12] Dynamics and geometry near resonant bifurcations
    Henk W. Broer
    Sijbo J. Holtman
    Gert Vegter
    Renato Vitolo
    Regular and Chaotic Dynamics, 2011, 16 : 39 - 50
  • [13] A MECHANICAL MODEL FOR DEMONSTRATING SUBHARMONIC RESONANCE
    LUDEKE, CA
    AMERICAN JOURNAL OF PHYSICS, 1948, 16 (08) : 430 - 434
  • [14] NONLINEAR DYNAMICS OF THE HEARTBEAT .2. SUBHARMONIC BIFURCATIONS OF THE CARDIAC INTERBEAT INTERVAL IN SINUS NODE DISEASE
    GOLDBERGER, AL
    BHARGAVA, V
    WEST, BJ
    MANDELL, AJ
    PHYSICA D, 1985, 17 (02): : 207 - 214
  • [15] Bifurcations and monodromy of the axially symmetric 1:1:-2 resonance
    Efstathiou, Konstantinos
    Hanssmann, Heinz
    Marchesiello, Antonella
    JOURNAL OF GEOMETRY AND PHYSICS, 2019, 146
  • [16] Subharmonic bifurcations and chaotic dynamics of an air damping completely inelastic bouncing ball
    Han, Hong
    Jiang, Zehui
    Zhang, Rui
    Lyu, Jing
    EUROPEAN PHYSICAL JOURNAL B, 2013, 86 (12):
  • [17] Subharmonic bifurcations and chaotic dynamics of an air damping completely inelastic bouncing ball
    Hong Han
    Zehui Jiang
    Rui Zhang
    Jing Lyu
    The European Physical Journal B, 2013, 86
  • [18] Pipes conveying pulsating fluid near a 0:1 resonance:: Local bifurcations
    McDonald, RJ
    Namachchivaya, NS
    JOURNAL OF FLUIDS AND STRUCTURES, 2005, 21 (5-7) : 629 - 664
  • [19] Pipes conveying pulsating fluid near a 0 : 1 resonance:: Global bifurcations
    McDonald, RJ
    Namachchivaya, NS
    JOURNAL OF FLUIDS AND STRUCTURES, 2005, 21 (5-7) : 665 - 687
  • [20] THE DYNAMICS OF A HARMONICALLY EXCITED SYSTEM HAVING RIGID AMPLITUDE CONSTRAINTS .1. SUBHARMONIC MOTIONS AND LOCAL BIFURCATIONS
    SHAW, SW
    JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1985, 52 (02): : 453 - 458
12345