. , . , .
.
, (),, ().
.
().
, , . . - ,,, (), . : . , .
Fk (d V / d t, V,t) = 0, (3.1)
F τ(V) = 0, (3.2)
V = (v1,, v2,..., vn) ; t .
, .
, (, ) (, ). , (, ), .
, . .
.
. . - . :,, R, , L. . 3.2, .
|
|
:
= iR ( ); (3.3)
i = Cdu/dt; (3.4)
= Ldi/dt, (3.5)
u (, ); i .
. (3.3) (3.5) (. . R, , L ), R, , L , . .
. .3.3 , i = i (u/(mφ )) i = i (u/(mφ )) - p n ;
i i ;
mφ ;
u u ;
;
R R ,
R R ;
i = B i - i , ;
.
u, u, i , i , i , .
. . . , , . , .
, ,
F= Mdu/dt, (3.8)
F ; ; .
, . ( )
G = Eε, (3.9)
G ; ; ε = Δl/l ; Δl l G.
, G = F/S, F , S , (3.9),
dF/dt = (SE/l)d(Δl)/dt
dF/dt = gu, (3.10)
g = SE/l , = d(Δl)/dt .
, , , .
|
|
. 3.2, .
. , ( ) , (3.4) (3.5) L, (3.8) (3.10) M LM .
. , . . , . (3. 1) (3.2).
, . , . , , . ( , ).
. 3.6. , , ., , .
. () , . . ß - 1 , , ß ( ). . 3.6, , . 3.6, , .
Ux Ix , U I
Ux + U = 0; (3.13)
I - TIx= 0, (3.14)
; T -.
- , . - . . - q- , = + 1 , = -1 . = 0.
. 3.6 - . 3.1
|
6
- , , . . , .
- , .
|
|
, . . , .
- . -, . .
V = f (V)
V V - . , V V . , , , . . . , . , , . , V () V (), () .
V ()= h (p) V (),
h (p) - .
, .
- . , .
() () , : , . .
(. .), h1 (p), h2 (p) h3 (p).
V2 = h1(p)V1 ;
V = h2(p)V2;
V1 = V(p) = h3(p)V;
V = H(p)V(p);
H(p) = h1(p)h2(p)/ (1 - h1(p)h2(p) h3(p))