Pulse propagation in a chain of o-rings with and without precompression

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-in...

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Bibliographic Details
Published in:arXiv.org 2010-06
Main Authors: Italo'Ivo Lima Dias Pinto, Rosas, Alexandre, Romero, Aldo H, Lindenberg, Katja
Format: Article
Language:English
Subjects:
Approximation
Chains
Equations of motion
Mathematical analysis
Numerical integration
Pulse propagation
Quadratures
Online Access:Get full text
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Summary: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.
ISSN:2331-8422