Математическое моделирование. Черный А.А. - 21 стр.

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21
[
]
;
)(
222
3
21
n
m
n
mmm
mm
m
xxat
tt
d
−⋅+
+
=
(5)
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) 
                                                            t m1 + t m 2
                                          dm =
                                                                  [
                                                  t m 3 + a m2 ⋅ x m2 n − ( x mn ) 2   ];    (5)


                                              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 m5 ⋅ 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 ⋅ x mw − x mr + w − a m ⋅ x mn + 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)




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