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Modelling the Process of the Compression of Distance Knitted Fabrics in the Aspect of ‘Elastica Curves’

Research and development

Authors:

  • Supeł Bogdan
    Department of Knitting Technology and Structure of Knitted Products, Faculty of Material Technologies and Textile Design, Technical University of Lodz, Łódź, Poland
  • Mikołajczyk Zbigniew (j/w)

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Abstract:

A new model of compressing distance knitted fabrics was developed based on Euler-Leaf theory. The model differs from those previously presented, which can be solved by an integrodifferential equation of the first order. The solution of the equation, which at the same time determines the shape of the bent rod, takes the form of elliptic integrals, which is in contrast to previous models of the trigonometric function form. Calculation algorithms were elaborated to determine the functional dependencies between the compression force and deflection, as well as an algorithm describing curves that represent the shape of the rod compressed. An experimental stand was built to verify the measuring method.

Tags: distance knitted fabrics, compression process, Euler’s theory, elastic curves.

Citation: Supeł B., Mikołajczyk Z.; Modelling the Process of the Compression of Distance Knitted Fabrics in the Aspect of ‘Elastica Curves’. FIBRES & TEXTILES in Eastern Europe 2010, Vol. 18, No. 4 (81) pp. 52-55.

Published in issue no 4 (81) / 2010, pages 52–55.

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