Методы и средства исследования технологических процессов ткацкого производства. Назарова М.В - 126 стр.

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{}
{}
{}
{}
Y
над
S
YS
Y
ад
S
YS
R
F
2
2
2
2
== , если
{
}
{
}
YSYS
над
22
< ,
(7.23)
где
S
над
2
{Y} – дисперсия, обусловленная неадекватностью, определяется
по формуле:
{}
()
k
NN
N
u
Y
u
Y
YS
RU
над
−
∑
=
−
=
1
2
2
,
(7.24)
где
N
K
– число значимых коэффициентов.
Значения Y
RU
рассчитываем по полученной математической модели и
сводим в табл 3.
У
1
= 25,16 – 1,2
⋅
(+1) – 4,46
⋅
(+1)
2
+ 2,84
⋅
(+1)
2
+
+ 3,99 (+1)
2
+ 1,38 (+1)
⋅
(+ 1) = 27,7;
У
2
= 25,16 – 1,2
⋅
(–1) – 4,46
⋅
(–1)
2
+ 2,84
⋅
(+1)
2
+
+ 3,99 (+1)
2
+ 1,38
⋅
(+1)
⋅
(+ 1) = 30,1;
У
3
= 25,16 – 1,2
⋅
(+1) – 4,46
⋅
(+1)
2
+ 2,84
⋅
(–1)
2
+
+ 3,99 (+1)
2
+ 1,38 (–1)
⋅
(+ 1) = 24,9;
У
4
= 25,16 – 1,2
⋅
(–1) – 4,46
⋅
(–1)
2
+ 2,84
⋅
(–1)
2
+
+ 3,99 (+1)
2
+ 1,38 (–1)
⋅
(+ 1) = 27,4;
У
5
= 25,16 – 1,2
⋅
(+1)– 4,46
⋅
(+1)
2
+ 2,84
⋅
(+1)
2
+
+ 3,99 (–1)
2
+ 1,38
⋅
(+1)
⋅
(– 1) = 24,9;
У
6
= 25,16 – 1,2
⋅
(–1) – 4,46
⋅
(–1)
2
+ 2,84
⋅
(+1)
2
+
+ 3,99 (–1)
2
+ 1,38 (+1)
⋅
(– 1) = 27,3;
У
7
= 25,16 – 1,2
⋅
(+1) – 4,46
⋅
(+1)
2
+ 2,84
⋅
(–1)
2
+
+ 3,99 (–1)
2
+ 1,38 (–1)
⋅
(– 1) = 27,7;
У
8
= 25,16 – 1,2
⋅
(–1) – 4,46
⋅
(–1)
2
+ 2,84
⋅
(–1)
2
+
+ 3,99 (–1)
2
+ 1,38 (–1)
⋅
(– 1) = 30,1;
У
9
= 25,16 – 1,2
⋅
(+1) – 4,46
⋅
(+1)
2
+ 2,84
⋅
(0)
2
+
+ 3,99 (0)
2
+ 1,38 (0)
⋅
(0) = 19,5;
У
10
= 25,16 – 1,2
⋅
(–1) – 4,46
⋅
(–1)
2
+ 2,84
⋅
(0)
2
+
+ 3,99
⋅
(0)
2
+ 1,38 (0)
⋅
(0) = 21,9;
У
11
= 25,16 – 1,2
⋅
(0) – 4,46
⋅
(0)
2
+ 2,84
⋅
(+1)
2
+
+ 3,99 (0)
2
+ 1,38 (+1)
⋅
(0) = 28,0;
У
12
= 25,16 – 1,2
⋅
(0) – 4,46
⋅
(0)
2
+ 2,84
⋅
(–1)
2
+
+ 3,99 (0)
2
+ 1,38 (–1)
⋅
(0) =28,0;
У
13
= 25,16 – 1,2
⋅
(0) – 4,46
⋅
(0)
2
+ 2,84
⋅
(0)
2
+
+ 3,99 (+1)
2
+ 1,38 (0)
⋅
(+1) = 29,1; 
       F    =
               S  {Y}
                   2
                      =
                         S 2 {Y }
                                    , если S над {Y } < S {Y },
                                             2           2
                                                                  (7.23)
        R
              S
                2
                   {Y} S
                         2
                         над
                               {Y }
                ад
  где Sнад2{Y} – дисперсия, обусловленная неадекватностью, определяется
  по формуле:
                     N
                     ∑ (Yu − YRU   )2
       S над {Y } =
         2          u =1                                          (7.24)
                                        ,
                         N − Nk
где NK – число значимых коэффициентов.
    Значения YRU рассчитываем по полученной математической модели и
сводим в табл 3.
             У1 = 25,16 – 1,2⋅ (+1) – 4,46 ⋅ (+1) 2 + 2,84 ⋅(+1) 2 +
                    + 3,99 (+1) 2 + 1,38 (+1)⋅ (+ 1) = 27,7;
             У2 = 25,16 – 1,2⋅ (–1) – 4,46 ⋅ (–1) 2 + 2,84 ⋅ (+1) 2 +
                    + 3,99 (+1) 2 + 1,38⋅ (+1)⋅(+ 1) = 30,1;
              У3 = 25,16 – 1,2⋅ (+1) – 4,46 ⋅(+1) 2 + 2,84 ⋅(–1) 2 +
                     + 3,99 (+1) 2 + 1,38 (–1)⋅(+ 1) = 24,9;
              У4 = 25,16 – 1,2⋅ (–1) – 4,46 ⋅ (–1) 2 + 2,84 ⋅(–1) 2 +
                    + 3,99 (+1) 2 + 1,38 (–1)⋅ (+ 1) = 27,4;
             У5 = 25,16 – 1,2⋅ (+1)– 4,46 ⋅ (+1) 2 + 2,84 ⋅(+1) 2 +
                    + 3,99 (–1) 2 + 1,38⋅ (+1)⋅(– 1) = 24,9;
             У6 = 25,16 – 1,2⋅ (–1) – 4,46 ⋅ (–1) 2 + 2,84 ⋅(+1) 2 +
                    + 3,99 (–1) 2 + 1,38 (+1)⋅ (– 1) = 27,3;
             У7 = 25,16 – 1,2⋅ (+1) – 4,46 ⋅ (+1) 2 + 2,84 ⋅ (–1) 2 +
                     + 3,99 (–1) 2 + 1,38 (–1)⋅(– 1) = 27,7;
              У8 = 25,16 – 1,2⋅ (–1) – 4,46 ⋅ (–1) 2 + 2,84 ⋅(–1) 2 +
                     + 3,99 (–1) 2 + 1,38 (–1)⋅ (– 1) = 30,1;
              У9 = 25,16 – 1,2⋅ (+1) – 4,46 ⋅ (+1) 2 + 2,84 ⋅ (0) 2 +
                       + 3,99 (0) 2 + 1,38 (0)⋅ (0) = 19,5;
              У10 = 25,16 – 1,2⋅ (–1) – 4,46 ⋅ (–1) 2 + 2,84 ⋅ (0) 2 +
                      + 3,99⋅ (0) 2 + 1,38 (0)⋅ (0) = 21,9;
              У11 = 25,16 – 1,2⋅ (0) – 4,46 ⋅ (0) 2 + 2,84 ⋅ (+1) 2 +
                      + 3,99 (0) 2 + 1,38 (+1)⋅ (0) = 28,0;
              У12 = 25,16 – 1,2⋅ (0) – 4,46 ⋅ (0) 2 + 2,84 ⋅ (–1) 2 +
                       + 3,99 (0) 2 + 1,38 (–1)⋅ (0) =28,0;
               У13 = 25,16 – 1,2⋅ (0) – 4,46 ⋅ (0) 2 + 2,84 ⋅ (0) 2 +
                     + 3,99 (+1) 2 + 1,38 (0)⋅ (+1) = 29,1;

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