Invariant torus bifurcation series and evolution of chaos exhibited by a forced non-linear vibration system

1991 ◽  
Vol 26 (1) ◽  
pp. 105-116 ◽  
Author(s):  
Chongqing Cheng
2010 ◽  
Vol 96 (5) ◽  
pp. 977-980 ◽  
Author(s):  
E. Douka ◽  
K. A. Zacharias ◽  
L. J. Hadjileontiadis ◽  
A. Trochidis

2000 ◽  
Vol 234 (5) ◽  
pp. 799-817 ◽  
Author(s):  
P.FRANK PAI ◽  
BERND ROMMEL ◽  
MARK J. SCHULZ

2013 ◽  
Vol 102 (15) ◽  
pp. 153901 ◽  
Author(s):  
M. López-Suárez ◽  
J. Agustí ◽  
F. Torres ◽  
R. Rurali ◽  
G. Abadal

Author(s):  
S. Bourdier ◽  
J. R. Chaplin

The dynamics of vortex-induced vibrations of a rigid circular cylinder with structural non-linearities, introduced by means of discontinuities in the support system, are studied experimentally. The analysis of the measurements is carried out using non-linear vibration tools, i.e phase-flow portraits, frequency spectra, Lyapunov exponents and correlation dimensions, to provide an insight into the dynamical changes in the system brought about by restricting the motion. We show that chaotic motions can occur due to the structural non-linearities.


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