paper

Chain Paradoxes

arXiv:1409.0369 · doi:10.1098/rspa.2014.0657

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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Chain Paradoxes · wovepaper