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A mathematical model of fibre orientation in slivers

Result description

The directional arrangement of fibers significantly determines the internal structure and the mechanical properties of the slivers and the ultimate yarns produced from such slivers. In order to evaluate the directional arrangement of fibers in slivers, the experimental method according to Lindsleys?s idea, based on the weighing of suitable combed-out and cut-out fringes, is most frequently used in practice. But, the traditional Lindsley?s evaluation takes on some empirical ratios of fringe weights only.In this work, the experimental method according to Lindsley?s idea is analyzed and a set of relevant equations are derived for the theoretical determination of the measured fringe weights. The new characteristic of fiber orientation represents the harmonic mean of cosines of angles among the short fiber segments and the longitudinal direction of the sliver. The probability density function of the directional arrangement of fibers in a sliver is also estimated. The experimental data obta

Keywords

fiberorientationslivermodelexperiment

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    A mathematical model of fibre orientation in slivers

  • Original language description

    The directional arrangement of fibers significantly determines the internal structure and the mechanical properties of the slivers and the ultimate yarns produced from such slivers. In order to evaluate the directional arrangement of fibers in slivers, the experimental method according to Lindsleys?s idea, based on the weighing of suitable combed-out and cut-out fringes, is most frequently used in practice. But, the traditional Lindsley?s evaluation takes on some empirical ratios of fringe weights only.In this work, the experimental method according to Lindsley?s idea is analyzed and a set of relevant equations are derived for the theoretical determination of the measured fringe weights. The new characteristic of fiber orientation represents the harmonic mean of cosines of angles among the short fiber segments and the longitudinal direction of the sliver. The probability density function of the directional arrangement of fibers in a sliver is also estimated. The experimental data obta

  • Czech name

  • Czech description

Classification

  • Type

    Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    JJ - Other materials

  • OECD FORD branch

Result continuities

Others

  • Publication year

    2012

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    The Journal of the Textile Institute

  • ISSN

    0040-5000

  • e-ISSN

  • Volume of the periodical

    103

  • Issue of the periodical within the volume

    5

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    14

  • Pages from-to

    463-476

  • UT code for WoS article

    000303566300001

  • EID of the result in the Scopus database

Basic information

Result type

Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

Jx

CEP

JJ - Other materials

Year of implementation

2012