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H. Poincaré, R. Magini (1899)
Les méthodes nouvelles de la mécanique célesteIl Nuovo Cimento (1895-1900), 10
James Stewart (2015)
Nonlinear Time Series Analysis
T. Solomon, E. Weeks, H. Swinney (1994)
Chaotic advection in a two-dimensional flow: Le´vy flights and anomalous diffusionPhysica D: Nonlinear Phenomena, 76
Jisheng Zhao, J. Leontini, D. Jacono, J. Sheridan (2014)
Chaotic vortex induced vibrationsPhysics of Fluids, 26
S. Bourdier, J. Chaplin (2012)
Vortex-induced vibrations of a rigid cylinder on elastic supports with end-stops, Part 1: Experimental resultsJournal of Fluids and Structures, 29
Juan Liu, Wei-ping Huang (2013)
A nonlinear vortex induced vibration model of marine risersJournal of Ocean University of China, 12
T. Morse, C. Williamson (2009)
Fluid forcing, wake modes, and transitions for a cylinder undergoing controlled oscillationsJournal of Fluids and Structures, 25
Filippos Chasparis, Y. Modarres-Sadeghi, F. Hover, M. Triantafyllou, M. Tognarelli, P. Beynet (2009)
Lock-In, Transient and Chaotic Response in Riser VIV
J. Leontini, M. Thompson, K. Hourigan (2006)
The beginning of branching behaviour of vortex-induced vibration during two-dimensional flowJournal of Fluids and Structures, 22
M. Zeinoddini, V. Tamimi, M. Seif (2013)
Stream-wise and cross-flow vortex induced vibrations of single tapered circular cylinders: An experimental studyApplied Ocean Research, 42
G. Gottwald, I. Melbourne (2002)
A new test for chaos in deterministic systemsProceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 460
J. Guckenheimer, P. Holmes (1983)
Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, 42
S. Strogatz (1995)
Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry and EngineeringPhysics Today, 48
J. Leontini, M. Thompson (2008)
Chaotic Oscillation During Vortex-Induced Vibration
CHK Williamson, R Govardhan (2004)
Vortex-induced vibrationsAnnu. Rev. Fluid Mech., 36
A. Khalak, C. Williamson (1999)
MOTIONS, FORCES AND MODE TRANSITIONS IN VORTEX-INDUCED VIBRATIONS AT LOW MASS-DAMPINGJournal of Fluids and Structures, 13
D. Weaver (2014)
Flow-induced vibrationAccess Science
P. Perdikaris, L. Kaiktsis, G. Triantafyllou (2009)
Chaos in a cylinder wake due to forcing at the Strouhal frequencyPhysics of Fluids, 21
S. Boccaletti (2008)
The Synchronized Dynamics of Complex Systems
M. Zeinoddini, A. Bakhtiari, M. Ehteshami, M. Seif (2016)
Towards an understanding of the marine fouling effects on VIV of circular cylinders: Response of cylinders with regular pyramidal roughnessApplied Ocean Research, 59
C. Williamson, R. Govardhan (2004)
Vortex-Induced VibrationsWind Effects on Structures
F. Huera-Huarte, P. Bearman (2009)
Wake structures and vortex-induced vibrations of a long flexible cylinder—Part 1: Dynamic responseJournal of Fluids and Structures, 25
Koichi Imaoka, Yukinori Kobayashi, T. Emaru, Y. Hoshino (2015)
Vortex-Induced Vibration of an Elastically-Supported Cylinder Considering Random Flow EffectsSICE journal of control, measurement, and system integration, 8
Ying-Cheng Lai, Nong Ye (2003)
Recent Developments in Chaotic Time Series AnalysisInt. J. Bifurc. Chaos, 13
M. Small (2005)
Applied Nonlinear Time Series Analysis: Applications in Physics, Physiology and Finance
H. Blackburn, R. Henderson (1996)
Lock-in behavior in simulated vortex-induced vibrationExperimental Thermal and Fluid Science, 12
(2013)
One and two degrees-of-freedom vortex-induced vibration experimentswith yawed cylinders
N Cagney, S Balabani (2013)
Mode competition in streamwise-only vortex-induced vibrationsJ. Fluids Struct., 41
M. Zeinoddini, V. Tamimi, A. Bakhtiari (2014)
WIV response of tapered circular cylinders in a tandem arrangement: An experimental studyApplied Ocean Research, 47
G. Assi, J. Meneghini, J. Aranha, P. Bearman, Enrique Casaprima (2006)
Experimental investigation of flow-induced vibration interference between two circular cylindersJournal of Fluids and Structures, 22
M. Zeinoddini, A. Farhangmehr, M. Seif, A. Zandi (2015)
Cross-flow vortex induced vibrations of inclined helically straked circular cylinders: An experimental studyJournal of Fluids and Structures, 59
F. Moon, P. Linsay, A. Mallinckrodt, S. McKay (1992)
Chaotic and Fractal Dynamics: An Introduction for Applied Scientists and EngineersComputers in Physics, 8
C. Williamson, A. Roshko (1988)
Vortex formation in the wake of an oscillating cylinderJournal of Fluids and Structures, 2
(1985)
Results from laboratory experiments on the loading of fouled cylinders
Charalampos Skokos, Thanos Manos, Thanos Manos (2014)
The Smaller (SALI) and the Generalized (GALI) Alignment Indices: Efficient Methods of Chaos DetectionarXiv: Chaotic Dynamics
G. Gottwald, I. Melbourne (2009)
On the Implementation of the 0-1 Test for ChaosSIAM J. Appl. Dyn. Syst., 8
Y. Modarres-Sadeghi, Filippos Chasparis, M. Triantafyllou, M. Tognarelli, P. Beynet (2011)
Chaotic response is a generic feature of vortex-induced vibrations of flexible risersJournal of Sound and Vibration, 330
Rik Mondal, Chandan Bose (2020)
Synchronization Study on the Vortex-Induced Vibrations using Wake Oscillator Model
’. GEORGES.TRIANTAFYLLOU (2005)
Three-dimensional dynamics and transition to turbulence in the wake of bluff objects
M. Zeinoddini, A. Bakhtiari, F. Schoefs, A. Zandi (2017)
Towards an understanding of marine fouling effects on the vortex-induced vibrations of circular cylinders: partial coverage issueBiofouling, 33
Haining Zheng, Rachel Price, Y. Modarres-Sadeghi, M. Triantafyllou (2014)
On fatigue damage of long flexible cylinders due to the higher harmonic force components and chaotic vortex-induced vibrationsOcean Engineering, 88
The current paper addresses the possibility of chaotic dynamics in the VIV response of cylinders covered by marine biofouling. The fouling was simulated by machining uniformly distributed pyramidal protrusions on the surface of the test cylinder. The Reynolds number varied from $$5.8\times 10^{3}$$ 5.8 × 10 3 to $$6.6\times 10^{4}$$ 6.6 × 10 4 . The zero-one tests, Hilbert Transforms and Poincaré maps were used to analyse the VIV test results. The chaos analysis showed that in the early initial branch and in the ending part of the synchronisation, the VIV signals for both the smooth and the artificially biofouled cylinders happened to be chaotic. The signals in between showed non-chaotic dynamics. The chaotic extent grew wider with the artificially biofouled cylinder than those with the smooth cylinder and in the lift force signals as compared to the displacement signals. Our estimates for the chaotic regions in the low mass-damping smooth cylinder interestingly agreed well with (i) zones for the “quasi-periodic” regime and (ii) the region marked as “no observed shedding pattern” in the literature. They singled out these regions because of their irregular dynamics but failed to appreciate these as chaotic. Here, we argue that these regions are in fact quite susceptible to chaos.
Nonlinear Dynamics – Springer Journals
Published: Jun 4, 2018
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