Chaotic flow-induced vibration of a flexible tube with end mass

Copeland, G. S.; Moon, Francis C.

doi:10.1016/0889-9746(92)90004-m

Cited by 57 publications

(17 citation statements)

References 9 publications

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“…As a result, even small variations in the parameter α 2 value can lead to sudden "jumps" from equilibrium to chaos and vice versa. Interestingly, immediate transitions from equilibrium to chaotic dynamics have been observed experimentally [41,42].…”

Section: Discussionmentioning

confidence: 99%

From Bistability to Coupling-Induced Oscillations in a Two-Habitat Model for the Rotifer Population Dynamics

Medvinsky

Gonik

Rusakov

et al. 2008

Math. Model. Nat. Phenom.

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Abstract. We study the role of interactions between habitats in rotifer dynamics. For this purpose we use a modified version of the Consensus model. The Consensus model has been shown to be realistic enough to reproduce distinguishing features of the rotifer species dynamics. Being uncoupled, intrinsically bistable rotifer populations, which inhabit the regions under different environmental conditions, do not impact each other. We show that migration of the rotifers between the habitats leads to the transformation of bistability to oscillatory dynamics. The coupling-induced oscillations of the rotifer biomass are shown to be either regular or irregular depending on the value of the model parameters, which describe environmental conditions and the biomass exchange between the habitats. We show that the irregular oscillations are characterized by positive values of the Lyapunov exponent, which means that they are chaotic.

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Section: Discussionmentioning

confidence: 99%

From Bistability to Coupling-Induced Oscillations in a Two-Habitat Model for the Rotifer Population Dynamics

Medvinsky

Gonik

Rusakov

et al. 2008

Math. Model. Nat. Phenom.

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“…Some of the trajectories of the free end of the pipe are reminiscent of the fascinating trajectories that Copeland & Moon (1992) observed in their experiments on a very long pipe conveying fluid with a large mass attached to its free end. Francis Moon is known for his contribution to nonlinear dynamics.…”

Section: Overviewmentioning

confidence: 93%

The inside view of an oscillating pipe

Modarres‐Sadeghi

2016

J. Fluid Mech.

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A pipe conveying fluid is a model problem in fluid-structure interactions and nonlinear dynamics. Several experimental and theoretical studies exist on this problem and very rich nonlinear dynamics have been observed including super-and subcritical instabilities as well as various routes to chaos. Despite all the existing studies, we had not yet seen the fluid inside an oscillating pipe as the pipe undergoes different types of flow-induced instabilities. But the wait is over.

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“…Also, the case of a vertical cantilevered pipe with an end-mass [see Fig. 1(a)] was studied, mainly experimentally, by Copeland and Moon (1992), considering also nonlinear effects. It was found that, beyond the threshold of flutter, higher-order bifurcations arise, with intricate, generally three-dimensional patterns of motion, eventually leading to chaos.…”

Section: Background Informationmentioning

confidence: 99%