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March 5, 20260 citationsOpen Access

Mathematical Modeling and Experimental Analysis of the Thread Take-up Function in Single-thread Chain Stitch Sewing Machines Type 101

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OMO. P. ManoilenkoVHVasyl HorobetsVPVitalii Puts

Key Points

  • The study aims to evaluate and model the thread take-up function in single-thread chain stitch sewing machines to enhance efficiency and stitch quality.
  • Developed analytical and experimental methodology to evaluate thread take-up characteristics.
  • Created a measuring system to record thread take-up across varying material thicknesses and stitch lengths.
  • Utilized sixth-degree polynomial approximation for modeling the thread take-up process.
  • Identified excessive thread take-up ranging from 20% to 64% above the required value in GK-9 machines.
  • Demonstrated high accuracy in models with an R² value greater than 0.99.
  • Found that improper thread take-up leads to uneven tension and decreased stitch stability.

Abstract

An analytical and experimental methodology for evaluating functional characteristics of the single-thread chainstitch formation process (type 101) is proposed. The evaluation is based on degree of correspondence between the required and actual thread take-up, which reflects the machine’s efficiency and the quality of stitch formation. A measuring system and an experimental procedure were developed to record thread takeup under different material thicknesses and stitch lengths. The obtained dependencies were approximated by sixth-egree polynomials with high accuracy (R² > 0.99), which made it possible to construct mathematical models of the thread takeup process. For GK-9 type machines, excessive thread take-up (20–64% above the required value) was set up, causing uneven thread tension and reduced stitch stability. The proposed methodology ensures quantitative evaluation, prediction, and regulation of thread take-up process, which improves functional efficiency of sewing machines and supports development of adaptive thread take-up control systems.

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Cite This Study

Manoilenko et al. (2026) studied this question.

synapsesocial.com/papers/69a91df9d6127c7a504c169ehttps://doi.org/10.5281/zenodo.18848866
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