The majority of the quality indicators of woven fabrics reflect the properties of the raw materials used and the given texture. The origin and reasons for the fluctuations in quality indicators are known. Deviations from the stated values are primarily the result of coincidences of boundary values of fibres properties and to a lesser extent of variations in the machine mode of modern textile equipment. In essence, both the variations in fibrous multitude after multi-stage processing and technological variations are controlled, deterministic processes. The measured qualitative indicators form numerical series with a normal distribution. A primary and clear indicator of the structure of woven fabrics is the area mass with its longitudinal and transverse variations on the fabric. Defects in woven fabrics have contrastingly different probabilities. The possibilities of a warp or weft thread breaking and a knot forming are rare events. Defects represent the material connection between the surface of the fabric and the sporadic coincidences of machine failures with anomalies in the fibrous multitude. Enumeration of defects yields number series with a Poisson’s distribution. The combination of the quality indicators with a normal distribution and the defects with a Poisson‘s distribution gives the generalized quality assessment of the fabric. The balance between statistical ratings of deterministic properties and rare defects is based on verified internal correlation and justifies the credibility of the final rating. The subject of this article is the linear correlations between the cross-sectional surface masses and between the breaks of the warp and weft threads of woven fabrics. The goal of the development is a parallel application of aggregate characteristics of numerical data from qualitative indicators with normal and Poisson’s distributions.

错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

Correlation of Quality Indicators with Normal and Poisson’s Distributions in Grading Woven FabrICS

  • Tashka Ivanova Koleva,
  • Nataliya Sadretdinova

摘要

The majority of the quality indicators of woven fabrics reflect the properties of the raw materials used and the given texture. The origin and reasons for the fluctuations in quality indicators are known. Deviations from the stated values are primarily the result of coincidences of boundary values of fibres properties and to a lesser extent of variations in the machine mode of modern textile equipment. In essence, both the variations in fibrous multitude after multi-stage processing and technological variations are controlled, deterministic processes. The measured qualitative indicators form numerical series with a normal distribution. A primary and clear indicator of the structure of woven fabrics is the area mass with its longitudinal and transverse variations on the fabric. Defects in woven fabrics have contrastingly different probabilities. The possibilities of a warp or weft thread breaking and a knot forming are rare events. Defects represent the material connection between the surface of the fabric and the sporadic coincidences of machine failures with anomalies in the fibrous multitude. Enumeration of defects yields number series with a Poisson’s distribution. The combination of the quality indicators with a normal distribution and the defects with a Poisson‘s distribution gives the generalized quality assessment of the fabric. The balance between statistical ratings of deterministic properties and rare defects is based on verified internal correlation and justifies the credibility of the final rating. The subject of this article is the linear correlations between the cross-sectional surface masses and between the breaks of the warp and weft threads of woven fabrics. The goal of the development is a parallel application of aggregate characteristics of numerical data from qualitative indicators with normal and Poisson’s distributions.