ISSN 1812-3368. ȼɟɫɬɧɢɤ ɆȽɌɍ ɢɦ. ɇ.ɗ. Ȼɚɭɦɚɧɚ. ɋɟɪ. «ȿɫɬɟɫɬɜɟɧɧɵɟ ɧɚɭɤɢ». 2012
182
ɧɚɤɨɜɨɟ ɱɢɫɥɨ ɷɤɫɩɟɪɢɦɟɧɬɚɥɶɧɵɯ ɬɨɱɟɤ ɢɡ ɧɚɛɨɪɚ (19). Ɍɨɝɞɚ ɞɥɹ
ɨɩɪɟɞɟɥɟɧɢɹ ɫɮɟɪɢɱɟɫɤɨɝɨ ɫɩɥɚɣɧɚ
S
ɜɢɞɚ
1 1
1 1 2 2
1 1
1 3
,
N n
i i
k k
n n n n
i
k
S x S x S
x S x S x S
x x x x
x x x x
¦¦
(23)
ɝɞɟ
1
,
x
x
2
,
x
x
i
k
x
1
1, 3
1
i N
k n
d d
d d
,
,
n
x
x
1
n
x
x
—
ɧɟɢɡɜɟɫɬɧɵɟ
ɤɨɷɮɮɢɰɢɟɧɬɵ ɜ ɫɨɨɬɜɟɬɫɬɜɢɢ ɫ ɧɚɛɨɪɨɦ ɬɨɱɟɤ (19), ɨɛɨɡɧɚɱɟɧɢɹɦɢ
(20)
ɢ ɜɢɞɨɦ (23) ɫɩɥɚɣɧɚ
S
ɫɨɡɞɚɟɬɫɹ ɫɢɫɬɟɦɚ ɥɢɧɟɣɧɵɯ ɚɥɝɟɛɪɚɢɱɟ-
ɫɤɢɯ ɭɪɚɜɧɟɧɢɣ (ɋɅȺɍ)
( , )
, 1
j
j
j
S
R j m
T M
d d
.
(24)
ȼ ɪɚɫɫɦɚɬɪɢɜɚɟɦɵɯ ɫɥɭɱɚɹɯ ɋɅȺɍ (24) ɩɟɪɟɨɩɪɟɞɟɥɟɧɚ. ɉɨɷɬɨɦɭ
ɞɥɹ ɟɟ ɪɟɲɟɧɢɹ ɩɪɢɦɟɧɹɟɬɫɹ ɦɟɬɨɞ ɧɚɢɦɟɧɶɲɢɯ ɤɜɚɞɪɚɬɨɜ, ɫɨɝɥɚɫɧɨ
ɤɨɬɨɪɨɦɭ ɫɨɡɞɚɟɬɫɹ ɫɨɨɬɜɟɬɫɬɜɭɸɳɚɹ ɧɨɪɦɚɥɶɧɚɹ ɋɅȺɍ. Ⱦɥɹ ɪɟɲɟ-
ɧɢɹ ɷɬɨɣ ɧɨɪɦɚɥɶɧɨɣ ɋɅȺɍ ɢɫɩɨɥɶɡɭɟɬɫɹ ɦɟɬɨɞ ɫɨɩɪɹɠɟɧɧɵɯ ɝɪɚɞɢ-
ɟɧɬɨɜ. ȼ ɪɟɡɭɥɶɬɚɬɟ ɧɚɣɞɟɧɧɵɟ ɧɟɢɡɜɟɫɬɧɵɟ ɤɨɷɮɮɢɰɢɟɧɬɵ ɫɮɟɪɢɱɟ-
ɫɤɨɝɨ ɫɩɥɚɣɧɚ
S
ɢɡ (23) ɩɪɟɞɫɬɚɜɥɹɸɬ ɚɩɩɪɨɤɫɢɦɚɰɢɸ ɢɫɤɨɦɨɣ ɩɨ-
ɜɟɪɯɧɨɫɬɢ.
ɇɚ ɪɢɫ. 2,
ɚ
ɩɨɤɚɡɚɧɚ ɩɨɜɟɪɯɧɨɫɬɶ, ɞɥɹ ɤɨɬɨɪɨɣ ɩɪɢɜɟɞɟɧɧɵɦ
ɜɵɲɟ ɦɟɬɨɞɨɦ ɩɨɫɬɪɨɟɧɚ ɚɩɩɪɨɤɫɢɦɚɰɢɹ ɩɪɢ ɢɫɩɨɥɶɡɨɜɚɧɢɢ
3
10
m
ɷɤɫɩɟɪɢɦɟɧɬɚɥɶɧɵɯ ɬɨɱɟɤ ɜɢɞɚ (20), ɫ 3%-ɧɨɣ ɚɛɫɨɥɸɬɧɨɣ ɩɨɝɪɟɲɧɨ-
ɫɬɶɸ ɨɬɧɨɫɢɬɟɥɶɧɨ ɫɪɟɞɧɟɜɵɛɨɪɨɱɧɨɝɨ ɪɚɞɢɭɫɚ (21) ɢ ɫɟɬɤɢ (22), ɞɥɹ
ɤɨɬɨɪɨɣ
5
N
ɢ
15.
n
Ɍɚɤɚɹ ɚɩɩɪɨɤɫɢɦɚɰɢɹ ɩɨɤɚɡɚɧɚ ɧɚ ɪɢɫ. 2,
ɛ
.
ɚ ɛ
Ɋɢɫ. 2. ɂɫɯɨɞɧɚɹ ɩɨɜɟɪɯɧɨɫɬɶ (
ɚ
)
ɢ ɟɟ ɚɩɩɪɨɤɫɢɦɚɰɢɹ ɫɮɟɪɢɱɟɫɤɢɦ ɫɩɥɚɣɧɨɦ (
ɛ
)
Ⱦɥɹ ɞɨɫɬɚɬɨɱɧɨ ɛɨɥɶɲɨɝɨ ɱɢɫɥɚ ɷɤɫɩɟɪɢɦɟɧɬɚɥɶɧɵɯ ɬɨɱɟɤ ɧɚɛɨ-
ɪɚ (20) ɢ ɩɟɪɜɢɱɧɨɣ ɩɫɟɜɞɨɫɟɬɤɢ
ɋ
ɢɡ (22) ɜ ɤɚɠɞɨɦ ɩɪɹɦɨɭɝɨɥɶɧɢɤɟ
ɭɤɥɚɞɤɢ, ɢɧɞɭɰɢɪɨɜɚɧɧɨɣ ɩɫɟɜɞɨɫɟɬɤɨɣ
ɋ
,
ɩɪɨɢɡɜɨɞɢɬɫɹ ɭɫɪɟɞɧɟɧɢɟ
ɷɤɫɩɟɪɢɦɟɧɬɚɥɶɧɵɯ ɬɨɱɟɤ, ɩɨɩɚɜɲɢɯ ɜ ɷɬɨɬ ɩɪɹɦɨɭɝɨɥɶɧɢɤ. ȼ ɪɟ-