Mathematical application in textiles
N. Karthikeyan, J. Joshuva Alexander
Conversions and General Mathematics
Mathematics is interlinked to each and every processes involved in any field. Some of the important general applications of mathematics in
textile are as follows,
- Conversions from one unit to other as different
countries have different set of units and to convert to common unit. E.g.
denier, tex, count, etc.
- To arrive at a relationship between two or more
variables so that by knowing one variable we can find the other. E.g.
Tpi-count-twist multiplier, stitch length-wales-spacing, etc.
- By using the area, volume and density of the shapes,
cross section of the fiber, density, volume and geometry of the structure
can be analyzed.
- Production, Efficiency, Cover factor, Speed of the
machines from gearing, weft preparation calculations in weaving, beam
requirement in warping and in so many other applications in various department.
In Computer Color Matching
The main aim of the computer color matching is not only to
obtain the desired shade but also to analyze the various possibilities to get
the shades at minimum cost.
- Matrix: In this method the various dye compositions, their
intensity, proportion, concentration and cost are treated as variables in
matrix and solved by trisimulus method to get the required datas.
- Factorials: Factorials are used to explore how many combinations
can match the shade, which of them are economical or how close they are
when viewed in different light (meteamerism).
Partial Differentiation: It is used to predict the accuracy of the color,
alignment of dyes, reflectance measurement, saturation limit, compatibility and
differences in the strength and tone of the dye used.
In textile from cotton to apparel manufacturing every process is carried out by calculations. In order to get the required quality and production mathematical knowledge is essential especially for the management peoples. Instead of
going for testing the samples for identifying many numbers of variables to
arrive at the result, mathematical conversions and formulas are used for easy
calculations and time saving. These mathematical formulas are mostly applied in
textile sampling and testing. In order to for a new process in the industry
apart from the regular process, mathematical applications are involved to
obtain the optimum standards and settings.
- "Textile Mathematics" Volume I, II, III By:
- "Textile Calculations" By: E.A. Posselt.
- "Computer Color Analysis" By: A.D. Sule.
- "Quality Control In Spinning" By SITRA.
About the Authors:
The authors are associated with The Department of
Textile Technology, Bannari Amman Institute of Technology, Sathyamangalam