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• W2013479946 abstract "Experiments have shown that a cantilevered pipe conveying fluid, the limit-cycle motions of which (beyond the Hopf bifurcation) interact with motion-limiting non-linear constraints, exhibits region of chaotic motions. In this paper the planar dynamics of the flexible pipe system are examined theoretically by means of a two-degree-of-freedom (four-dimensional) analytical model, exploring the existence of chaotic oscillations in the parameter space of this autonomous system. Calculations of the Lyapunov exponents, phase portraits of the oscillation, bifurcation diagrams and Poincaré maps establish definitively the existence of chaotic motions. The route to chaos is shown to be via period-doubling bifurcations. The effect of some key parameters on the chaotic regions is investigated." @default.
• W2013479946 created "2016-06-24" @default.
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• W2013479946 date "1989-11-01" @default.
• W2013479946 modified "2023-10-14" @default.
• W2013479946 title "Chaotic oscillations of the autonomous system of a constrained pipe conveying fluid" @default.
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• W2013479946 doi "https://doi.org/10.1016/0022-460x(89)90750-5" @default.
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