A MATHEMATICAL MODEL FOR EVALUATING QUALITY INDICATORS OF NOVEL-STRUCTURE KNITTED FABRICS
Keywords:
Textile engineering and technology, mathematical modeling, theoretical research, experimental research, theoretical-experimental approach, knitted fabric, stitch density, ring pitch, breaking load, reversible deformation, quality indicators, model adequacy, Fisher’s criterion, regression coefficients, prediction, technological optimization.Abstract
This study focuses on the mathematical modeling of the physical, mechanical, and technological properties of knitted fabrics. The research combines theoretical analysis with experimental investigations to evaluate and improve the quality characteristics of the produced knitted materials. The proposed mathematical approach makes it possible to establish relationships between the structural and technological parameters of knitted fabrics and their resulting quality indicators. In particular, the study considers the breaking load and reversible deformation of knitted fabrics and examines the possibility of predicting these characteristics in advance during the production process. The adequacy of the developed mathematical models is evaluated using appropriate statistical methods, including Fisher’s criterion and regression coefficients. The obtained results demonstrate the potential of mathematical modeling as an effective tool for predicting fabric performance, improving product quality, and optimizing technological parameters. The application of the proposed approach can also contribute to more efficient production processes and provide a scientific basis for achieving greater economic efficiency in knitted fabric manufacturing.





