Slack Dynamics on an Unfurling String
arXiv:1202.0795 · doi:10.1103/PhysRevLett.109.134301
Abstract
An arch will grow on a rapidly deployed thin string in contact with a rigid plane. We present a qualitative model for the growing structure involving the amplification, rectification, and advection of slack in the presence of a steady stress field, validate our assumptions with numerical experiments, and pose new questions about the spatially developing motions of thin objects.
significant changes. removed one figure
References in corpus (2)
Cited by in corpus (15)
- Understanding the Chain Fountain
- Growth and Shape of a Chain Fountain
- A quantitative analysis of the chain fountain
- Chain Paradoxes
- The surprising dynamics of a chain on a pulley: Lift-off and snapping
- Jump conditions for strings and sheets from an action principle
- Dissipative Shocks behind Bacteria Gliding
- Adaptive diffusion constrained total variation scheme with application to `cartoon + texture + edge' image decomposition
- Understanding how a falling ball chain can be speeded up by impact onto a surface
- Anomalous curvature evolution and geometric regularization of energy focusing in the snapping dynamics of a flexible body
- Understanding and enhancing the impact-induced tension of a falling chain
- Propagating stress-pulses and wiggling transition revealed in string dynamics
- Generalized solutions for inextensible string equations
- A simple dynamical model of a freely-falling train of rigid segments
- At the end of a moving string