(14.8) . . , , vi ( ), , . (14.8) :
(14.78)
..
:
(i = 1, 2, , n; j = 1, 2, , r), (14.79)
i (); j ( φ).
:
11v1 + a21v2 + + an1vn + W1 = 0
12v1 + a22v2 + + an2vn + W2 = 0 (14.80)
1rv1 + a2rv2 + + anrvn + Wr = 0
:
[ a1v ] + W1 = 0
[ a2v ] + W2 = 0 (14.81)
[ arv ] + Wr = 0
(14.80) (14.81) .
, (14.79) , , (14.8) , .. aij .
:
, (14.82)
- .
: , - . (14.82) :
. (14.83)
vi, (14.83) , vi :
(14.84)
..
,
(i= 1, 2, , n) (14.85)
, (14.86)
- i.
(14.85) (14.86) .
. vi, n vi r kj, n .
, ( ), , .. , :
(14.87)
.
(14.87) ki, (14.80) (14.81).
, () ki (14.87) . (. 14.3).
, :
14.3
i j | i | n | |||||
a11 | a21 | a31 | ai1 | an1 | |||
a12 | a22 | a32 | ai2 | an2 | |||
a13 | a23 | a33 | ai3 | an3 | |||
j | a1j | a2j | a3j | ajj | anj | ||
r | a1r | a2r | a3r | ajr | anr | ||
qi | q1 | q2 | q3 | qi | qn |
|
|
(14.88)
bjj kj .
1- .
k 1 .
k2 1- 2- .
. , kr 1- r - .
2- .
k1 2- 1- .
k2 2- .
k3 2- 3- .. .
.
R- .
k1 r - 1- .
k2 r - 2- ..
kr r - .
:
b11k1 + b12k2 + b13k3 + + b1jkj + + b1rkr + W1 = 0
b21k1 + b22k2 + b23k3 + + b2jkj + + b2rkr + W2 = 0
b31k1 + b32k2 + b33k3 + + b3jkj + + b3rkr + W3 = 0
. (14.89)
bj1k1 + bj2k2 + bj3k3 + + bjjkj + + bjrkr + Wj = 0
.
br1k1 + br2k2 + br3k3 + + brjkj + + brrkr + Wr = 0
, b , .. b12 = b21, b35 = b53 .. .. bjj j , .. . b . , . b, , .
(14.89) , 135, , , , , . .
(14.89) kj vi (14.85) (14.86). (14.7).
|
|
, , ( ) .. :
- 0,01-0,001 ;
- a, b k 0,001-0,0001 ;
- W , , , .
, .
1. n xi, pi, k r .
2. ( ) (14.5) :
- , .. ();
- r;
- .
3. , aij (14.79) φj xi.
Wj , .. xi.
() aij qi (. 14.3).
4. bjj (14.88) (14.89) , , .
kj . (45.89) . , - .
5. , . 14.3, νi (14.80), (14.85) ( (14.86). , , :
ν1 = q1(a11k1 + a12k2 + + a1jkj ++ a1rkr)
ν2 = q2(a21k1 + a22k2 + + a2jkj ++ a2rkr)
ν3 = q3(a31k1 + a32k2 + + a3jkj ++ a3rkr)
.. (14.90)
νn = qn(an1k1 + an2k2 + + anjkj ++ anrkr)
.
. (14.80) . , .
6. xi' (14.7).
xi' (14.9). . , - .
xi' (, ..).
, , , (14.9) . , xi' , Wj (14.9).
137 .