Investigating Nonlinear Kelvin Model Accuracy Optimized by Genetic Algorithm for Determining Drying Behavior of Knitted Fabric

Document Type : Original Article

Authors
Pedram Payvandy
Vajihe Mozafary
Department of Textile Engineering, Yazd University
Abstract
Knitted fabrics are widely used by the underwear apparel industry due to their good elasticity. Modeling the mechanical behavior of knitted fabrics using Kelvin model is one of the discussed subjects in the textile industry. The purpose of this study is to investigate the accuracy of a nonlinear Kelvin model for determining the drying behavior of knitted fabrics. To fulfill this aim, genetic algorithm was used to optimize the model to achieve the lowest error between experimental and model results. The Kelvin model consists of a concentrated mass, a spring and a damper which are arranged in parallel. In the model a timevarying mass was considered due to the fabric drying process. Also, the behavior of the spring and damper were considered to be two-order nonlinear. Because of the nonlinear behavior of the spring and damper, the determination of the spring and damper coefficients by numerical methods was complicated. These coefficients were determined by minimizing the errors between the model and experimental results using the genetic algorithm. The results of the modeling of the knitted fabrics were compared to the experimental data for five samples with different course densities. The meaningful 4.5 percent difference between the purposed model and the experimental values proved that the presented system had acceptable results which could be used to investigate the length changes of knitted fabrics during drying processes. So, it was confirmed that the drying behavior of the knitted fabrics can be simulated by the nonlinear Kelvin model.

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[1] Z. Chen, B. Xu, Z. Chi, and D. Feng, “Mathematical formulation of
knitted fabric spirality using genetic programming”, Text. R. J., vol.
82, no. 7, pp. 667-676, 2012.
[2] M. Blaga, and M. Draghici,“Application of genetic algorithms in
knitting technology”, J. Text. Inst., vol. 96, no. 3, pp. 175-178, 2004.
[3] R. C. Chen, T. S. Chen, and C. C, Feng, “Application of genetic
algorithm on production scheduling of elastic knitted fabric”, J. Eng.
Applied. Sci., vol. 1, no. 2, pp. 149-153, 2006.
[4] J. J. Lin,“A Genetic Algorithm for Searching Weaving parameters
for woven fabrics”, Text. Res. J., vol. 73, no. 2, pp. 105-112, 2003.
[5] W. Jasper, J. Joines, J. Brenzovich,“Fabric defect detection using a
genetic algorithm tuned wavelet filter”, J. Text. Inst., vol. 96, no. 1,
pp. 43-54, 2005.
[6] L. Higgins, S. C. Anand, M. E. Hall, and D. A. Holmes, “Effect of
tumble-drying on selected properties of knitted and woven cotton
fabrics: part II: effect of moisture content, temperature setting, and
time in dryer on cotton fabrics”, J. Text. Inst., vol. 94, no. 1, pp.
129-139, 2003.
[7] L. Onal, and C. Candan, “Contribution of fabric characteristics and
laundering to shrinkage of weft knitted fabrics”, Text. Res. J., vol.
73, no. 3, pp. 187-191, 2003.
[8] Q. H. Chen, K. F. Au, C. W. M, Yuen, and K. W. Yeung, “An
analysis of the felting shrinkage of plain knitted Wool fabrics”, Text.
Res. J.,vol. 74, no. 5, pp. 399-404, 2004.
[9] W. S. Lo, T. Y. Lo, and K. F. Cho, “The effect of resin finish on the
dimensional stability of cotton knitted fabric”, J. Text. Inst., vol.
100, no. 6, pp. 530-538, 2009.
[10] R. Postle, and D. L. Munden,“Analysis of the dry-relaxed knittedloop
configuration: part I: two-dimensional analysis”, J. Text. Inst.,
vol. 58, no. 8, pp. 329-351, 1967.
[11] Mozafary, P. Payvandyand M. M Jalili,“Non-linear behavior
simulation of the drying of weft knitted fabric by using massspring-
damper model and straight forward expansion”, Modares.
Mech. Eng., vol. 14, no. 1, pp. 1-8, 2014 (in Persian).
[12] Y. Li, and X. Q, Dai, Biomechanical engineering of textiles and
clothing, North America: CRC Press LLC. Woodhead Publishing
Limited, pp. 115-120, 2006.
[13] S. Kumar and V. B. Gupta, “Nonlinear viscoelastic model for textile
fibers”, Text. Res. J., vol. 48, no. 7, pp. 429-431, 1978.
[14] J. Zhang, L. General, and P. Beijing, “The model of
viscoplastoelastic behavior of tencel fiber”, J. Northwest. Inst. Text.
Sci., vol. 13, no. 4, pp. 399–402, 1999.
[15] Z. Cai, “A Nonlinear Viscoelastic model for describing the
deformation behavior of braided fiber seals”, Text. Res. J, vol. 65,
no. 8, pp. 461–470, 1995.
[16] J. J. M.Baltussen, and M. G. Northolt, “The Eyring reduced time
model for viscoelastic and yield deformation of polymer fibers”,
Polymer, vol. 45, no. 5, pp. 1717-1728, 2004.
[17] F. G. Lobo and D. E. Goldberg, “The parameter less genetic
algorithm in practice”, Inform. Comput. Sci., vol. 167, no. 1, pp.
217-232, 2004.
[18] L. Scrucca, “GA: A Package for genetic algorithms in R. J”,
Statistical Software, vol. 53, no. 4,pp. 1-37, 2013.
[19] BS 5441, Methods of test for knitted fabrics, (1988).
[20] AATCC Test Method, Method of Dimensional Changes of
Garments after Home Laundering, (1997).