Pattern morphology in the elastic sewing machine
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چکیده
We present results from a numerical investigation of the coiling patterns obtained when a slender elastic rod is deployed onto a moving substrate. The Discrete Elastic Rods method is employed to explore the parameter space, construct phase diagrams, identify their phase boundaries and characterize the pattern morphology. The various length scales of the patterns are primarily set by the gravity-bending length and depend only logarithmically on the deployment height. The curvature near the contact point, together with the dimensionless speed mismatch between deployment and the belt, dictate the characteristics of the patterns. The phase boundaries are found to be independent of both the gravito-bending length and the deployment height, as long as the latter is above a threshold value. We also evaluate the relative importance of twist and curvature strains, which confirms that bending has a dominant role. © 2015 Published by Elsevier Ltd.
منابع مشابه
A Geometric Model for the Coiling of an Elastic Rod Deployed Onto a Moving Substrate
We report results from a systematic numerical investigation of the nonlinear patterns that emerge when a slender elastic rod is deployed onto a moving substrate; a system also known as the elastic sewing machine (ESM). The discrete elastic rods (DER) method is employed to quantitatively characterize the coiling patterns, and a comprehensive classification scheme is introduced based on their Fou...
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تاریخ انتشار 2015