ISSN 1812-3368. ȼɟɫɬɧɢɤ ɆȽɌɍ ɢɦ. ɇ.ɗ. Ȼɚɭɦɚɧɚ. ɋɟɪ. «ȿɫɬɟɫɬɜɟɧɧɵɟ ɧɚɭɤɢ». 2012
13
Ʉɪɢɬɟɪɢɢ ɩɪɨɱɧɨɫɬɢ ɦɚɬɪɢɰɵ ɢ ɧɢɬɢ.
Ʉɪɢɬɟɪɢɣ ɩɪɨɱɧɨɫɬɢ
ɢɡɨɬɪɨɩɧɨɣ ɦɚɬɪɢɰɵ ɜ ɫɨɫɬɚɜɟ əɉ (ɜɧɟ ɧɢɬɟɣ) ɜɵɛɟɪɟɦ ɜ ɜɢɞɟ ɦɨɞɢ-
ɮɢɰɢɪɨɜɚɧɧɨɝɨ ɤɪɢɬɟɪɢɹ ɩɪɨɱɧɨɫɬɢ ɬɢɩɚ ɉɢɫɚɪɟɧɤɨ—Ʌɟɛɟɞɟɜɚ, ɤɨ-
ɬɨɪɵɣ ɨɛɪɚɡɨɜɚɧ ɫɨɜɨɤɭɩɧɨɫɬɶɸ ɬɪɟɯ ɨɬɞɟɥɶɧɵɯ ɤɪɢɬɟɪɢɟɜ ɪɚɡɪɭɲɟ-
ɧɢɹ ɩɪɢ ɪɚɫɬɹɠɟɧɢɢ, ɫɠɚɬɢɢ ɢ ɫɨɜɦɟɫɬɧɨɦ ɧɚɝɪɭɠɟɧɢɢ. ɉɪɢ ɪɚɡɪɭ-
ɲɟɧɢɢ ɢ ɫɠɚɬɢɢ ɩɪɨɱɧɨɫɬɶ ɨɩɢɫɵɜɚɟɬɫɹ ɤɪɢɬɟɪɢɟɦ Ɇɢɡɟɫɚ, ɩɪɢ
ɫɨɜɦɟɫɬɧɨɦ ɧɚɝɪɭɠɟɧɢɢ — ɤɪɢɬɟɪɢɟɦ ɬɢɩɚ əɝɧɚ:
(3)
ɢ
ɬ
,
m
V
V
ɟɫɥɢ
(3)
ɬ
;
m
!
V
V
(3)
ɢ
ɫ
,
m
V
V
ɟɫɥɢ
(3)
ɫ
,
m
V
V
(3)
(3)2
(3)2
1
0
2
ɢ
1,
B B
B
V
V
V
ɟɫɥɢ
(3)
ɫ
ɬ
,
m
m
V
V
V
(15)
ɝɞɟ
(3)
(3)
ɢ
,
V
V
— 1-
ɣ ɢ 2-ɣ ɢɧɜɚɪɢɚɧɬɵ ɬɟɧɡɨɪɚ ɧɚɩɪɹɠɟɧɢɣ:
(3)
(3)
ɢ
;
V
V
(3)
(3)
(3) 2
(3)
(3) 2
ɢ
11
22
11
33
1 (
) (
)
2
V
V
V
V
V
(3)
(3) 2
(3)2
(3)2
(3)2
22
33
12
23
13
(
) 6(
);
V
V
V
V
V
(16)
ɬ
ɫ
,
,
m m sm
V
V
V
—
ɩɪɟɞɟɥɵ ɩɪɨɱɧɨɫɬɢ ɦɚɬɪɢɰɵ ɧɚ ɪɚɫɬɹɠɟɧɢɟ, ɫɠɚɬɢɟ
ɢ ɫɞɜɢɝ;
ȼ
1
,
ȼ
0
,
ȼ
2
—
ɤɨɷɮɮɢɰɢɟɧɬɵ:
ɫ
ɬ
1
ɫ ɬ
;
m m
m m
B
V
V
V V
0
2
ɫ ɬ
1
1 ;
3
m m sm
B
V V
V
2
2
1 .
3
sm
B
V
(17)
Ʉɪɢɬɟɪɢɣ ɩɪɨɱɧɨɫɬɢ (15) ɦɨɠɧɨ ɡɚɩɢɫɚɬɶ ɜ ɟɞɢɧɨɣ ɮɨɪɦɟ ɫ ɩɨ-
ɦɨɳɶɸ ɮɭɧɤɰɢɢ ɏɟɜɢɫɚɣɞɚ
:
h X
(3)
(3)
( ) 1,
ij
z
V
(18)
ɝɞɟ
(3)
(3)
( )
ij
z
V
—
ɩɚɪɚɦɟɬɪ ɩɨɜɪɟɠɞɚɟɦɨɫɬɢ ɦɚɬɪɢɰɵ:
(3)
(3)
(3)
(3)
(3)
(3)
ɢ
ɢ
ɬ
ɬ
ɫ
ɫ
( )
ij
m
m
m
m
z
h
h
§
·
§
·
¨
¸
¨
¸
©
¹
©
¹
V
V
V
V
V
V
V
V
V
(3)
(3)
(3)
(3)2
(3)2
1
0
2
ɢ
ɬ
ɫ
(
) 1
.
m
m
B B
B
h
h
§
·
§
·
§
·
¨
¸
¨
¸ ¨
¸
¨
¸
©
¹
©
¹
©
¹
V
V
V
V
V
V
V
(19)
Ʉɪɢɬɟɪɢɣ ɩɪɨɱɧɨɫɬɢ
D
-
ɣ ɧɢɬɢ ɮɨɪɦɭɥɢɪɭɟɬɫɹ ɞɥɹ ɤɚɠɞɨɝɨ ɟɟ ɨɬ-
ɞɟɥɶɧɨɝɨ 1D-ɷɥɟɦɟɧɬɚ ɜ ɫɨɛɫɬɜɟɧɧɨɣ ɫɢɫɬɟɦɟ ɤɨɨɪɞɢɧɚɬ. ɗɬɨɬ ɤɪɢɬɟ-
ɪɢɣ ɢɦɟɟɬ ɫɥɟɞɭɸɳɢɣ ɜɢɞ [12]:
( )
( )
1
(
) 1
ij
z
c
D
D
V
ɢɥɢ
( )
( )
2
(
) 1,
ij
z
c
D
D
V
(20),