Прогнозирование свойств материалов по математическим моделям. Черный А.А - 17 стр.

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17
mmmm
Pade
+
⋅
=
; (6)
(
)
n
mm
r
mm
s
mm
xexdxf ⋅+⋅+−= ; (7)
n
mm
r
mm
xaxt ⋅+=
4
;
n
mm
rn
m
n
mmm
xaxxtt
2
45
⋅−−⋅=
+
;
mm
r
mm
rn
mm
r
mm
atxtxaxt ⋅−⋅−⋅+=
+
54
2
6
;
sn
mm
sr
mmm
s
mmm
xaxPtxtt
++
⋅−−⋅+⋅=
547
;
(
)
2
2 n
m
n
m
wn
m
w
m
n
m
m
xx
xxx
z
−
−⋅
=
+
;
wn
mm
wr
m
w
mmmmm
xaxxtztt
++
⋅−−⋅+⋅=
458
;
sn
mm
sr
mm
s
mm
xexdxt
++
⋅+⋅+=
2
9
;
rn
mm
r
mm
sr
mm
xexdxt
++
⋅+⋅+=
2
10
;
n
mm
rn
mm
sn
mm
xexdxt
2
11
⋅+⋅+=
++
;
n
mm
r
mm
s
mm
xexdxt ⋅+⋅+=
12
;
wn
mm
wr
mm
ws
mm
xexdxt
+++
⋅+⋅+=
13
;
111214 m
n
mmm
txtt −⋅=
;
mm
s
mmm
Ptxttt ⋅−⋅−=
1412915
;
101216 m
r
mmm
txtt −⋅=
;
13121417 m
w
mmmm
txtztt −⋅+⋅=
;
167156
168176
mmmm
mmmm
m
tttt
tttt
g
⋅−⋅
⋅
+⋅
=
; (8)
6
87
m
mmm
m
t
)ttg(
h
+
⋅
=
; (9)
mmmmmm
zahPgk
+
⋅
+⋅=
; (10)
)(
n
mm
r
mm
s
mm
w
mm
xkxhxgxl ⋅+⋅+⋅+−=
. (11) 
                                              em = d m ⋅ a m + Pm ;                    (6)

                                          (
                                f m = − x ms + d m ⋅ x mr + em ⋅ x mn ;     )          (7)

                                      t m 4 = x mr + a m ⋅ x mn ;

t m5 = t m 4 ⋅ x mn − x mn + r − a m ⋅ x m2 n ;

t m 6 = x m2 r +a m ⋅ x mn + r − t m 4 ⋅ x mr − t m 5 ⋅ a m ;

t m 7 = t m 4 ⋅ x ms +t m 5 ⋅ Pm − x mr + s − a m ⋅ x mn + s ;

         x mn ⋅ x mw − x mn + w
zm =
                         ( )    2
                                      ;
            x m2 n   −   x mn

t m8 = t m5 ⋅ z m + t m 4 ⋅ xmw − xmr + w −a m ⋅ xmn + w ;

t m9 = x m2 s + d m ⋅ x mr + s + em ⋅ x mn + s ;

t m10 = x mr + s + d m ⋅ x m2 r + em ⋅ x mn + r ;

t m11 = x mn + s + d m ⋅ x mn + r + em ⋅ x m2 n ;
t m12 = x ms + d m ⋅ x mr + em ⋅ x mn ;
t m13 = x ms + w + d m ⋅ x mr + w + em ⋅ x mn + w ;
t m14 = t m12 ⋅ x mn − t m11 ;
t m15 = t m9 − t12 ⋅ x ms − t m14 ⋅ Pm ;
t m16 = t m12 ⋅ x mr − t m10 ;
t m17 = t m14 ⋅ z m + t12 ⋅ x mw − t m13 ;
                            t m 6 ⋅ t m17 + t m8 ⋅ t m16
                     gm =                                 ;                            (8)
                            t m 6 ⋅ t m15 − t m 7 ⋅ t m16
                       ( g m ⋅ t m 7 + t m8 )
                     hm =                     ;                                        (9)
                                t m6
                k m = g m ⋅ Pm + hm ⋅ a m + z m                   ;                   (10)
                                l m = −( xmw + g m ⋅ xms + hm ⋅ xmr + k m ⋅ xmn ) .   (11)




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