Pré-Publication, Document De Travail Année : 2025

Tightening Dynamics of Wound Rolls: The Interplay of Solid Friction and Interfacial Compressibility

Résumé

The capstan equation predicts that the tension along a flexible band wrapped around a cylinder decreases exponentially with the number of turns due to solid friction. Consequently, it is expected that tightening a loosely prepared roll by pulling on the end of the band would be extremely difficult. However, we demonstrate in a controlled experiment that not only does the tightening of the loose winding occur, but it is actually induced and controlled by surface roughness, through solid friction and interfacial compressibility. The experiment reveals that a slipping zone nucleates on the fixed inner core and propagates outwards through a stick-slip sequence. As the slipping zone propagates outward, the gained slack accumulates, reducing the pressure exerted at the slipping point and facilitating the rewinding of the outer part of the roll onto its inner part.
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Dates et versions

hal-03659906 , version 1 (05-05-2022)
hal-03659906 , version 2 (11-02-2025)

Identifiants

  • HAL Id : hal-03659906 , version 2

Citer

M Caelen, Sebastien Moulinet, Bruno Andreotti, Frédéric Lechenault. Tightening Dynamics of Wound Rolls: The Interplay of Solid Friction and Interfacial Compressibility. 2025. ⟨hal-03659906v2⟩
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