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Co ela ion o Wool Fibe s om Di e en Va ian s
Azizbek Ibodulloye ich Rajabo
Sano a A oe na Kham ae a
¹Doc o al S uden , Bukha a S a e Technical Uni e si y,
²P o esso , Tashken Ins i u e o Tex ile and Ligh Indus y, Doc o o Technical
Sciences
asadiyo [email protected], samo a -xam ae a@mail. u
Abs ac . This a icle analyzes he co ela ion be ween he physical and mechanical
p ope ies o Ka akul wool ibe s ob ained om di e en a ian s. Based on
expe imen al da a, he leng h, diame e , elas ici y, and elonga ion a b eak o he ibe s
we e compa ed. Co ela ion g aphs we e used o iden i y s a is ical ela ionships
be ween ibe pa ame e s, and op imal p ocessing condi ions we e p oposed. The
esul s o he s udy a e impo an o adap ing semi-coa se wool o indus ial
p ocessing and imp o ing echnological p ocedu es.
Keywo ds: Ka akul wool ibe , a ian s, co ela ion, ibe diame e , elas ici y,
s a is ical analysis, g aph, physical-mechanical p ope ies
Co ela ion g aph o wool ibe s o op ions 1 and 2 shea ed in he sp ing season.
Table 1.1 below shows he esul s o calcula ing he co ela ion coe icien based on
he s eng h o p ocessed wool ibe s in op ion 1 and op ion 3, shea ed in he b aho
season .
Table 1.
The s eng h o he ibe cu in he sp ing season acco ding o op ions 1 and 3
X
Y
x
MX −
(
x
MX −
) 2
y
MY −
( Y
−𝑀𝑦) 2
(
x
MX −
)
•
(
y
MY −
)
3.39
3.43
-0.3
0.09
-0.3
0.09
0.09
3.44
3.46
-0.2
0.04
-0.3
0.09
0.06
4.3
4.1
0.6
0.36
0.4
0.16
0.24
3.56
3.51
-0.1
0.01
-0.2
0.04
0.02
3.6
3.44
-0.1
0.01
-0.3
0.09
0.03
3.8
3.48
0.1
0.01
-0.3
0.09
-0.03
3.4
3.66
-0.3
0.09
-0.1
0.01
0.03
4.1
4.3
0.4
0.16
0.6
0.36
0.24
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3.39
3.8
-0.3
0.09
0.1
0.01
-0.03
3.8
4.3
0.1
0.01
0.6
0.36
0.06
36.78
37.48
-0.1
0.87
0.2
1.3
0.71
∑𝑋
∑𝑌
∑(𝑋
−𝑀𝑥)
∑𝑋2
∑(𝑌
−𝑀𝑦)
∑𝑌2
∑𝑋𝑌
∑𝑋
∑𝑌
∑(𝑋
−𝑀𝑥)
∑𝑋2
∑(𝑌
−𝑀𝑦)
∑𝑌2
∑𝑋𝑌
The a e age alue o he s eng h o wool ibe p ocessed in he 1s op ion, shea ed in
he sp ing season, is calcula ed as ollows.
𝑀𝑥=∑𝑋
𝑛=3,7
The a e age alue o he s eng h o wool ibe p ocessed in he 3 d op ion , cu in he
sp ing season, is calcula ed as ollows.
𝑀𝑦=∑𝑌
𝑛=3,7
Co ela ion coe icien as ollows is de e mined .
𝑟 = ∑𝑋𝑌
√∑𝑋2∑𝑌2=0,67
he co ela ion coe icien e o as ollows is de e mined .
𝑚𝑟=±1−𝑟2
√𝑛=0,18
he co ela ion coe icien eliabili y as ollows is de e mined .
𝑟
𝑚𝑟=3,81
Ou s in ou example is equal o, which means 𝑟 =−0,75 ha he co ela i e link
be ween he in es iga ed esul s
5,0
is less s ong ice e sa in con ac ha , and
accoun s co ec ha i is done 𝑟
𝑚𝑟≤3acco ding o he c i e ion, i can be con i med
ha i is wi hin he limi s o expe imen al eliabili y.
Figu e 1. shows he co ela ion g aph o wool ibe s o op ions 1 and 3 shea ed in he
sp ing season.
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Table 9 shows he esul s o calcula ing he co ela ion coe icien based on he s eng h
o p ocessed wool ibe s in op ion 1 and op ion 2, shea ed in he au umn season.
Table 1.1
The s eng h o he ibe cu in he au umn season acco ding o op ions 1 and 2
X
Y
x
MX −
(
x
MX −
) 2
y
MY −
( Y
−𝑀𝑦) 2
(
x
MX −
)
•
(
y
MY −
)
3.6
4.6
-0.6
0.36
0.5
0.25
-0.3
3.5
4.2
-0.7
0.49
0.1
0.01
-0.07
4.2
4.3
0
0
0.2
0.04
0
4.5
3.6
0.3
0.09
-0.5
0.25
-0.15
4.7
3.8
0.5
0.25
-0.3
0.09
-0.15
4
4.3
-0.2
0.04
0.2
0.04
-0.04
4.1
3.9
-0.1
0.01
-0.2
0.04
0.02
4.4
3.7
0.2
0.04
-0.4
0.16
-0.08
4.2
4.3
0
0
0.2
0.04
0
4.5
4.2
0.3
0.09
0.1
0.01
0.03
41.7
40.9
-0.3
1.37
-0.1
0.93
-0.74
∑𝑋
∑𝑌
∑(𝑋
−𝑀𝑥)
∑𝑋2
∑(𝑌
−𝑀𝑦)
∑𝑌2
∑𝑋𝑌
The a e age alue o he s eng h o wool ibe p ocessed in he 1s op ion, shea ed in
he au umn season, is calcula ed as ollows.
𝑀𝑥=∑𝑋
𝑛=4,2
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The a e age alue o he s eng h o wool ibe p ocessed in he 2nd op ion, shea ed
in he au umn season, is calcula ed as ollows.
𝑀𝑦=∑𝑌
𝑛=4,1
Co ela ion coe icien as ollows is de e mined .
𝑟 = ∑𝑋𝑌
√∑𝑋2∑𝑌2=−0,166
he co ela ion coe icien e o as ollows is de e mined .
𝑚𝑟=±1−𝑟2
√𝑛=0,18
he co ela ion coe icien eliabili y as ollows is de e mined .
𝑟
𝑚𝑟=−3,64
Ou s in ou example is equal o, which means 𝑟 =−0,166 ha he co ela i e link
be ween he in es iga ed esul s
5,0
is less s ong ice e sa in con ac ha , and
accoun s co ec ha i is done
3
m
o he ya ds ick acco ding o expe imen al
eliabili y on he bo de ha i is con i ma ion possible .
Figu e 1.1 shows he co ela ion g aph o wool ibe s o op ions 1 and 2 shea ed in he
au umn season.
Figu e 1.1 Co ela ion g aph o wool ibe s o op ions 1 and 2 shea ed in he au umn
season.
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The g aph shows he ela ionship be ween he s eng hs o au umn wool ibe s. The
blue poin s in he g aph a e alues o he s eng h o wool ibe s, he ed line is he
end ( eg ession) line.
Table 3.10 shows he esul s o calcula ing he co ela ion coe icien based on he
s eng h o p ocessed wool ibe s in op ion 1 and op ion 2, shea ed in he au umn season
.
Table 1.2
The s eng h o he ibe cu in he au umn season acco ding o op ions 1 and 3
X
Y
x
MX −
(
x
MX −
) 2
y
MY −
( Y
−𝑀𝑦) 2
(
x
MX −
)
•
(
y
MY −
)
3.6
4.4
-0.6
0.36
0.1
0.01
-0.06
3.5
3.8
-0.7
0.49
-0.5
0.25
0.35
4.2
4.1
0
0
-0.2
0.04
0
4.5
4.55
0.3
0.09
0.3
0.09
0.09
4.7
4.6
0.5
0.25
0.3
0.09
0.15
4
4.1
-0.2
0.04
-0.2
0.04
0.04
4.1
4.3
-0.1
0.01
0
0
0
4.4
4.3
0.2
0.04
0
0
0
4.2
4.1
0
0
-0.2
0.04
0
4.5
4.6
0.3
0.09
0.3
0.09
0.09
41.7
42.85
-0.3
1.37
-0.1
0.65
0.66
∑𝑋
∑𝑌
∑(𝑋
−𝑀𝑥)
∑𝑋2
∑(𝑌
−𝑀𝑦)
∑𝑌2
∑𝑋𝑌
The a e age alue o he s eng h o wool ibe p ocessed in he 1s op ion, shea ed in
he au umn season, is calcula ed as ollows.
𝑀𝑥=∑𝑋
𝑛=4,2
The a e age alue o he s eng h o wool ibe p ocessed in he 3 d op ion, cu in he
au umn season, is calcula ed as ollows.
𝑀𝑦=∑𝑌
𝑛=4,3
Co ela ion coe icien as ollows is de e mined .
𝑟 = ∑𝑋𝑌
√∑𝑋2∑𝑌2=0,070
he co ela ion coe icien e o as ollows is de e mined .
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𝑚𝑟=±1−𝑟2
√𝑛=0,16
he co ela ion coe icien eliabili y as ollows is de e mined .
𝑟
𝑚𝑟=4,33
Ou s in ou example is equal o, which means 𝑟 =0,070 ha he co ela i e link
be ween he in es iga ed esul s
5,0
is less s ong ice e sa in con ac ha , and
accoun s co ec ha i is done 𝑟
𝑚𝑟≤3 acco ding o he c i e ion, i can be con i med
ha i is wi hin he limi s o expe imen al eliabili y. Figu e 3.14 shows he co ela ion
g aph o wool ibe s o op ions 1 and 3 shea ed in he au umn season.
Figu e 1.2 Co ela ion g aph o wool ibe s o op ions 1 and 3 shea ed in he au umn
season.
The g aph shows he ela ionship be ween he s eng hs o au umn wool ibe s. The
blue poin s in he g aph a e alues o he s eng h o wool ibe s, he ed line is he
end ( eg ession) line.
Acco ding o he esul s o de e mining he co ela ion coe icien s, e o and
signi icance o he s eng h o ibe s cu in he sp ing and au umn seasons, i was ound
ha he e is a s ong in e se ela ionship 𝑟
𝑚𝑟≤3be ween he in es iga ed esul s , and
5,0
i is wi hin he limi s o expe imen al eliabili y acco ding o he c i e ion ha
he calcula ions a e pe o med co ec ly.
Acco ding o he esul s o he e alua ion o he physico-mechanical p ope ies o
so ened wool ibe s based on he echnology de eloped abo e, he highe physico-
mechanical pa ame e s o he ibe s sho n in he au umn season compa ed o he wool
ibe s sho n in he au umn season necessi a ed he de e mina ion o he ac o s a ec ing
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he quali y indica o s o he wool ibe s in he au umn season and conduc ing a ull
ac o ial expe imen .
Summa y o Chap e 3:
1. The echnology o p ocessing local sheep wool ibe s was implemen ed in wo
s ages. In he i s s age, he wool ibe s we e p e ea ed wi h a solu ion o wa e and
u ea, hen d ied. In he second s age, he ibe s we e so ened using a solu ion p epa ed
based on Ciba Sapamine OC and T iamon, which was hen spun in a newly de eloped
de ice.
2. Compa ed o sp ing wool, he ini ial diame e o au umn ibe is 20% less in all
op ions, and he inal diame e a e ibe p ocessing is 20.12% less in op ion 1, 20.4%
in op ion 2, and 21% less in op ion 3.
3. A e he ini ial ea men , he elas ici y o au umn ibe is 7%, 8%, 9% mo e in
op ion 1, 8%, 9% mo e in op ion 2, mois u e abso p ion (hyd a ion) o he ibe is 3%
mo e in op ion 1, 2.5%, 3% mo e in op ion 2, he inal mass o 100 kg o ibe
eplacemen is 10.2% in op ion 1, 2 i was obse ed ha i inc eased by 10.33% and
10.5% in he a ian .
4. In he main s age o wool ibe p ocessing, he diame e o wool ibe s cu in he
sp ing season dec eased by 20.7% in he 1s op ion, 20.4% in he 2nd op ion, and 20.2%
in he 3 d op ion. ha he elonga ion a b eak inc eased by 0.7% in op ion 1, by 0.8%
in op ion 2, by 1.1% in op ion 3, he uni o mi y a io inc eased by 5.75% in op ion 1,
by 6.45% in op ion 2, by 6.56% in op ion 3, he a e age ibe leng h I was shown ha
i inc eased by 2.6% in op ion 1, by 5.0% in op ion 2, and by 4.8% in op ion 3.
5. The p ocess o so ening wool ibe is a complex p ocess ha in ol es signi ican
changes no only o i s ex e nal appea ance, bu also o i s in e nal s uc u e. As a esul
o so ening, e e y s uc u e om he dime o he cu icle changes, making he ibe
so , supple, pliable, and sui able o ex ile p ocessing.
6. Acco ding o he esul s o de e mining he co ela ion coe icien s, e o and
signi icance o he s eng h o ibe s cu in he sp ing and au umn seasons, i was ound
ha he e is a s ong in e se ela ionship 𝑟
𝑚𝑟≤3be ween he in es iga ed esul s , and
5,0
i is wi hin he limi s o expe imen al eliabili y acco ding o he c i e ion ha
he calcula ions a e pe o med co ec ly.
Li e a u e.
1. Rajabo A.I., Nodi o a M.N. “Respublika o’qimachilikdagi mahalliy jun
olala ining ipla ning si a ko’ sa gichla iga a’si i” //. Ilm-Fan a aqqiyo ida
zamona iy me odla ning qo’llanilishi2023-Vol-3 Issue-8 BB-27-32
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2. Kazako F., Sa a o a N., Rajabo A., Nodi o a M. — “A S udy o he Basic
Physico-Mechanical and Technological P ope ies o Camel Wool Fibe ” //
In e na ional scien i ic jou nal, ISSN 2541-8084, № 6-2, 2021, June, pp31-41 2022
3. Ham aye a.S.A., A. I. Rajabo , M. N. Nodi o a — “Ou coun y young gene a ion
in he middle science and echnology p opaganda op imiza ion and ex ile in he ield
new inno a ions c ea e” // P oceedings o he In e na ional Scien i ic-P ac ical
Con e ence “Dual Educa ion – A Mode n Basis o Imp o ing he Quali y o
Educa ion”, Bukha a Enginee ing-Technological Ins i u e, Ap il 3–4, 2025, B.B 257-
260
4.Ham aye a.S.A., A. I. Rajabo , M. N. Nodi o a— In ou epublic enginee ing in
schools inno a i e echnologies c ea e and cu ious he you h o in en ions edi ec ” //
P oceedings o he In e na ional Scien i ic-P ac ical Con e ence “Dual Educa ion – A
Mode n Basis o Imp o ing he Quali y o Educa ion”, Bukha a Enginee ing-
Technological Ins i u e, Ap il 3–4, 2025, B.B355-357
5. Tu ganbaye R.U., Khodzhabae A.G. & Ba lykbae a E. – “P oduc i i y o Ka akul
Sheep Wool in he Colo s o Shamchi ok-Gul and U yuk Gul Flowe s” // Eu opean
Jou nal o Ag icul u al and Ru al Educa ion, 2023, Vol. 4 (9), 78–86-be la .
h ps://www.neli i.com/publica ions/605497/p oduc i i y-o -ka akul-sheep-wool-in-
he-colo s-o -shamchi ok-gul-and-u yuk-gul
6. Islamo a Z., Ma ka imo a D., Allakulo a G. & Musu monkulo a S. – “De eloping
Insec icidal P ope ies in Wool Fibe Fab ics” // In e discipline Inno a ion and
Scien i ic Resea ch Con e ence
h ps://in e onco .com/index.php/b i ish/a icle/ iew/7728/7002
7. Islamo a Z.S., Ma ka imo a D.B., Allakulo a G.K. & Bobokulo a M.B. –
“Explo ing he Possibili ies o So ening Coa se Wool Fibe s” // Tashken Ins i u e o
Tex ile and Ligh Indus y Con e ence P oceeding, 2025 h ps://sci-con .com.ua/wp-
con en /uploads/2024/12/scien i ic- esea ch-mode n-challenges-and- u u e-p ospec s-
16-18.12.24.pd #page=154
8 Ib agimo O., To‘ aye A. – “O‘zbekis onda jun xomashyosi kons uksiyalash a
ayyo lash” // O ien al Renaissance: Inno a i e, Educa ional, Na u al and Social
Sciences, 2023, 3-jild, 2-son, 447–450-be la . h ps://cybe leninka. u/a icle/n/o-
zbekis onda-jun-xomashyosi-kons uk siyalash- a- ayyo lash
