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Pré-Publication, Document De Travail Année : 2022

Divergence instability in an air-conveying soft tube: Analysis of static zig-zag shapes

Résumé

This work is devoted to the characterization and modeling of surprising stable states appearing in air-conveying soft tubes. A soft tube differs from a flexible tube by its very thin walls which allows it to fold with a sharp angle. When the upper end of a soft tube is fixed to an air pump while the bottom end is left free, the system exhibits a divergence instability which develops under the form of “zig-zag” shapes constituted by three roughly straight segments. We characterize each stable shape by the lengths and angles of these three segments. We observe, for example, that the intermediate segment is limited to short lengths because its inclined direction with respect to the vertical increases the gravitational torque on the upper fold. In order to theoretically reproduce the zig-zag shapes, we use a model of three articulated straight rigid tubes conveying airflow. The torque exerted by the pressurized tube on a folded part of the pipe is modeled by a nonlinear torsional spring. This model shows that the system can stabilize into zig-zag states qualitatively similar to experimental observations.
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Dates et versions

hal-03941175 , version 1 (16-01-2023)

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O.D. Donato Angulo, Christophe Eloy, A. Cros. Divergence instability in an air-conveying soft tube: Analysis of static zig-zag shapes. 2023. ⟨hal-03941175⟩
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