The physics of a climbing rope under a heavy dynamic load
(Die Physik eines Kletterseils unter hoher dynamischer Belastung)
In this theoretical article, the force-elongation behaviour of a climbing rope in a heavy fall is investigated and compared with experiments. The experiments show that the state-of-the-art viscoelastic description of a climbing rope with time-independent friction is not able to explain the rope tension as a function of time. A proper description has to take into account time-delayed friction, that is, a transition from a low-friction regime to strong friction near the force maximum which leads to a fast relaxation of the rope into its equilibrium position. Furthermore, a climbing rope has to be described by a nonlinear tension with increased stiffness for large elongations in order to agree with experiments with varying fall masses. Finally, observed second-mode force oscillations are explained by a continuum description of the rope taking into account its mass.
© Copyright 2017 Proceedings of the Institution of Mechanical Engineers, Part P: Journal of Sports Engineering and Technology. SAGE Publications. Alle Rechte vorbehalten.
Schlagworte: | Bergsport Sportklettern Sportgerät Physik |
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Notationen: | Naturwissenschaften und Technik Sportstätten und Sportgeräte |
DOI: | 10.1177/1754337116651184 |
Veröffentlicht in: | Proceedings of the Institution of Mechanical Engineers, Part P: Journal of Sports Engineering and Technology |
Veröffentlicht: |
2017
|
Jahrgang: | 231 |
Heft: | 2 |
Seiten: | 125-135 |
Dokumentenarten: | Artikel |
Sprache: | Englisch |
Level: | hoch |