A three-dimensional analysis of loop knit structure by using a property of the buckled-twisted elastic rod

A general three-dimensional (3D) shape assumed by a perfectly elastic rod buckled by appropriate forces and twisted couples at its ends was presented. It is shown that the elastica rod dimensions are dependent on the ratio of its bending rigidity to the torsional rigidity. The torsional angle at the...

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Bibliographic Details
Published inJournal of the Textile Institute Vol. 100; no. 2; pp. 111 - 119
Main Authors Ajeli, S., Jeddi, Ali. A.A., Rastgo, A.
Format Journal Article
LanguageEnglish
Published Taylor & Francis Group 31.03.2009
Subjects
3D elastica
bending rigidity
buckled rod
knitted loop
torsional rigidity
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Summary:A general three-dimensional (3D) shape assumed by a perfectly elastic rod buckled by appropriate forces and twisted couples at its ends was presented. It is shown that the elastica rod dimensions are dependent on the ratio of its bending rigidity to the torsional rigidity. The torsional angle at the ends of elastica also influences the values of twisted elastica dimensions. Also, by comparing the 3D and 2D shapes of the loop, it was confirmed that the ratio of maximum height to maximum width (aspect ratio) of buckled-twisted elastic rod is less than that of buckled rod (2.08). The theoretical analysis was evaluated experimentally by measuring the geometrical properties of the rods made from the common textile material (polyester, nylon 6, polyethylene, and polypropylene) with different elastic properties. A good agreement is observed between the theoretical assessment and experimental measuring data.
ISSN:0040-5000
1754-2340
DOI:10.1080/00405000701660921