Chain Paradoxes

Abstract

For nearly two centuries the dynamics of chains have offered examples of paradoxical theoretical predictions. Here we propose a theory for the dissipative dynamics of one-dimensional continua with singularities which provides a unified treatment for chain problems that have suffered from paradoxical solutions. These problems are duly solved within the present theory and their paradoxes removed---we hope.

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Cited by in corpus (6)

• Comment on "Classical Mechanics of Nonconservative Systems"
• Jump conditions for strings and sheets from an action principle
• Pick-up and impact of flexible bodies
• Impact-induced acceleration by obstacles
• Understanding how a falling ball chain can be speeded up by impact onto a surface
• Understanding and enhancing the impact-induced tension of a falling chain