Pulse propagation in a chain of o-rings with and without precompression
Abstract
We implement a binary collision approximation to study pulse propagation in a chain of o-rings. In particular, we arrive at analytic results from which the pulse velocity is obtained by simple quadrature. The predicted pulse velocity is compared to the velocity obtained from the far more resource-intensive numerical integration of the equations of motion. We study chains without precompression, chains precompressed by a constant force at the chain ends (constant precompression), and chains precompressed by gravity (variable precompression). The application of the binary collision approximation to precompressed chains provides an important generalization of a successful theory that had up to this point only been implemented to chains without precompression, that is, to chains in a sonic vacuum.
Keywords
Cite
@article{arxiv.1006.4129,
title = {Pulse propagation in a chain of o-rings with and without precompression},
author = {Italo'Ivo Lima Dias Pinto and Alexandre Rosas and Aldo H. Romero and Katja Lindenberg},
journal= {arXiv preprint arXiv:1006.4129},
year = {2010}
}