Математическое моделирование в литейном производстве. Черный А.А. - 60 стр.

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60
;
x
yx
b
N
u
u,n
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N
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u,n
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∑
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1
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1
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;
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x
yx
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где
x
1n,u
= x
n
1,u
+ v
1
; x
1r,u
= x
r
1,u
+ a
1
⋅
x
n
1,u
+ c
1
;
x
1s,u
= x
s
1,u
+ d
1
⋅
x
r
1,u
+ e
1
⋅
x
n
1,u
+ f
1
; 
                   N                                                                  N
                ∑ x 2 n ,u ⋅ yu                                                      ∑ x1n ,u ⋅ x2n ,u ⋅ yu
                u =1                                                                 u =1
       b2 n =           N
                                             ;                     b1n ,2 n =         N
                                                                                                                          ;
                       ∑      x 22n ,u                                               ∑ ( x1n ,u ⋅ x2 n ,u )           2

                       u =1                                                          u =1
                N                                                                N
                ∑ x1r ,u ⋅ yu                                                    ∑ x2r ,u ⋅ yu
       b1r = u =1 N                      ;                         b2 r =       u =1
                                                                                       N
                                                                                                      ;
                       ∑      x12r ,u                                                ∑      x22r ,u
                       u =1                                                          u =1



                       N                                                             N
                    ∑ x1n ,u ⋅ x2r ,u ⋅ yu                                         ∑ x2n ,u ⋅ x1r ,u ⋅ yu
                    u =1                                                           u =1
      b1n ,2 r =     N
                                                     ;             b2 n ,1r =       N
                                                                                                                          ;
                    ∑ ( x1n ,u ⋅ x2r ,u )        2
                                                                                     ∑ ( x2n ,u ⋅ x1r ,u )            2

                    u =1                                                             u =1


                        N                                                        N
                       ∑ x1r ,u ⋅ x2r ,u ⋅ yu                                    ∑ x1s ,u ⋅ yu
                       u =1                                                     u =1
       b1r ,2 r =       N
                                                     ;              b1s =              N
                                                                                                      ;
                       ∑ ( x1r ,u ⋅ x2r ,u )     2
                                                                                     ∑      x12s ,u
                       u =1                                                          u =1
                   N                                                         N
                ∑ x2 s ,u ⋅ yu                                              ∑ x1n,u ⋅ x2s,u ⋅ yu
                u =1                                                        u =1
       b2 s =           N
                                         ;                    b1n, 2 s =      N
                                                                                                                  ;
                       ∑      x22s ,u                                        ∑ ( x1n,u ⋅ x2 s,u )         2
                       u =1                                                 u =1

                        N                                                    N
                       ∑ x2n ,u ⋅ x1s ,u ⋅ yu                               ∑ x1r ,u ⋅ x2 s ,u ⋅ yu
                       u =1                                                 u =1
       b2 n ,1s =       N
                                                     ;         b1r ,2 s =    N
                                                                                                              ;
                       ∑ ( x2n ,u ⋅ x1s ,u )     2
                                                                            ∑ ( x1r ,u ⋅ x2 s ,u )        2

                       u =1                                                 u =1


                        N                                                   N
                       ∑ x2r ,u ⋅ x1s ,u ⋅ yu                               ∑ x1s ,u ⋅ x2 s ,u ⋅ yu
                       u =1                                                 u =1
       b2 r ,1s =       N
                                                     ;        b1s ,2 s =     N
                                                                                                              ;
                       ∑ ( x2 r ,u ⋅ x1s ,u )    2
                                                                            ∑ ( x1s ,u ⋅ x2 s ,u )        2

                       u =1                                                 u =1
где
      x1n,u = xn1,u + v1;                           x1r,u = xr1,u + a1 ⋅ xn1,u + c1;
      x1s,u = xs1,u + d1 ⋅ xr1,u + e1 ⋅ xn1,u + f1;




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