ISSN 1812-3368. ȼɟɫɬɧɢɤ ɆȽɌɍ ɢɦ. ɇ.ɗ. Ȼɚɭɦɚɧɚ. ɋɟɪ. «ȿɫɬɟɫɬɜɟɧɧɵɟ ɧɚɭɤɢ». 2012
76
Ʉ ɱɢɫɥɭ ɜɚɠɧɟɣɲɢɯ ɡɚɞɚɱ ɱɢɫɥɟɧɧɨɝɨ ɝɚɡɨɞɢɧɚɦɢɱɟɫɤɨɝɨ ɦɨɞɟ-
ɥɢɪɨɜɚɧɢɹ ɜ ɋȼɁ ɨɬɧɨɫɢɬɫɹ ɪɚɫɱɟɬ ɬɟɩɥɨɜɵɯ ɩɨɬɨɤɨɜ ɧɚ ɫɬɟɧɤɚɯ ɤɨɧ-
ɫɬɪɭɤɰɢɣ ɋȼɁ. ɉɪɢ ɷɬɨɦ ɧɟɨɛɯɨɞɢɦɨ ɢɫɩɨɥɶɡɨɜɚɬɶ ɭɪɚɜɧɟɧɢɹ ɇɚ-
ɜɶɟ—ɋɬɨɤɫɚ, ɨɞɧɚɤɨ ɧɟɩɨɫɪɟɞɫɬɜɟɧɧɨɟ ɱɢɫɥɟɧɧɨɟ ɪɟɲɟɧɢɟ ɷɬɢɯ
ɭɪɚɜɧɟɧɢɣ ɜ ɤɚɧɚɥɚɯ ɋȼɁ ɩɪɢɜɨɞɢɬ ɤ ɩɨɹɜɥɟɧɢɸ ɧɟɮɢɡɢɱɟɫɤɢɯ ɷɮ-
ɮɟɤɬɨɜ [3]: ɢɫɤɚɠɚɸɬɫɹ ɭɝɥɵ ɧɚɤɥɨɧɚ ɫɤɚɱɤɨɜ, ɩɪɨɢɫɯɨɞɢɬ ɪɚɡɦɚɡɵ-
ɜɚɧɢɟ ɫɤɚɱɤɨɜ, ɦɨɝɭɬ ɮɨɪɦɢɪɨɜɚɬɶɫɹ ɞɨɩɨɥɧɢɬɟɥɶɧɵɟ ɧɟɮɢɡɢɱɟɫɤɢɟ
ɫɤɚɱɤɢ, ɨɛɭɫɥɨɜɥɟɧɧɵɟ ɨɫɨɛɟɧɧɨɫɬɹɦɢ ɝɪɚɧɢɱɧɵɯ ɭɫɥɨɜɢɣ ɇɚɜɶɟ—
ɋɬɨɤɫɚ ɜ ɭɝɥɨɜɵɯ ɬɨɱɤɚɯ. ȼ ɪɚɛɨɬɟ [4] ɩɪɟɞɥɨɠɟɧ ɱɢɫɥɟɧɧɵɣ ɦɟɬɨɞ
ɪɚɫɱɟɬɚ ɝɚɡɨɞɢɧɚɦɢɱɟɫɤɢɯ ɩɨɬɨɤɨɜ, ɨɫɧɨɜɚɧɧɵɣ ɧɚ ɪɟɲɟɧɢɢ ɩɨɥɧɵɯ
ɬɪɟɯɦɟɪɧɵɯ ɭɪɚɜɧɟɧɢɣ ɇɚɜɶɟ—ɋɬɨɤɫɚ ɜ ɬɨɧɤɨɦ ɩɨɝɪɚɧɢɱɧɨɦ ɫɥɨɟ ɧɚ
ɩɨɜɟɪɯɧɨɫɬɢ ɨɛɬɟɤɚɟɦɨɝɨ ɬɟɥɚ, ɚ ɬɚɤɠɟ ɧɚ ɪɟɲɟɧɢɢ ɭɪɚɜɧɟɧɢɣ ɗɣɥɟ-
ɪɚ ɜ ɨɫɧɨɜɧɨɣ ɱɚɫɬɢ ɬɟɱɟɧɢɹ ɩɨɬɨɤɚ. Ɍɚɤɨɣ ɦɟɬɨɞ ɧɚɡɜɚɧ ɦɟɬɨɞɨɦ
ɬɪɟɯɦɟɪɧɨɝɨ ɩɨɝɪɚɧɢɱɧɨɝɨ ɫɥɨɹ, ɟɝɨ ɷɮɮɟɤɬɢɜɧɨɫɬɶ ɛɵɥɚ ɩɨɤɚɡɚɧɚ ɧɚ
ɫɪɚɜɧɢɬɟɥɶɧɨ ɩɪɨɫɬɵɯ ɡɚɞɚɱɚɯ ɨɛɬɟɤɚɧɢɹ ɡɚɬɭɩɥɟɧɧɵɯ ɬɟɥ [1]
ɐɟɥɶɸ
ɧɚɫɬɨɹɳɟɣ ɪɚɛɨɬɵ ɹɜɥɹɟɬɫɹ ɢɫɫɥɟɞɨɜɚɧɢɟ ɩɪɢɦɟɧɢɦɨɫɬɢ
ɦɟɬɨɞɚ ɬɪɟɯɦɟɪɧɨɝɨ ɩɨɝɪɚɧɢɱɧɨɝɨ ɫɥɨɹ ɞɥɹ ɡɚɞɚɱ ɝɚɡɨɞɢɧɚɦɢɤɢ ɜ ɤɚ-
ɧɚɥɚɯ ɋȼɁ.
Ɇɨɞɟɥɶ ɬɪɟɯɦɟɪɧɨɝɨ ɩɨɝɪɚɧɢɱɧɨɝɨ ɫɥɨɹ.
ȼ ɫɨɨɬɜɟɬɫɬɜɢɢ ɫ [4]
ɦɨɞɟɥɶ ɬɪɟɯɦɟɪɧɨɝɨ ɩɨɝɪɚɧɢɱɧɨɝɨ ɫɥɨɹ ɩɨɥɭɱɢɦ ɫɥɟɞɭɸɳɢɦ ɨɛɪɚ-
ɡɨɦ. ɉɨɫɬɪɨɢɦ ɩɨ ɧɨɪɦɚɥɢ ɤ ɩɨɜɟɪɯɧɨɫɬɢ
1
6
ɬɜɟɪɞɨɝɨ ɬɟɥɚ, ɨɛɬɟɤɚɟ-
ɦɨɝɨ ɩɨɬɨɤɨɦ ɝɚɡɚ, ɟɳɟ ɨɞɧɭ ɩɨɜɟɪɯɧɨɫɬɶ ,
e
6
ɤɨɬɨɪɚɹ ɛɭɞɟɬ ɫɥɭɠɢɬɶ
ɜɧɟɲɧɟɣ ɝɪɚɧɢɰɟɣ ɩɨɝɪɚɧɢɱɧɨɝɨ ɫɥɨɹ. Ɋɚɫɫɬɨɹɧɢɟ
h
ɦɟɠɞɭ ɷɬɢɦɢ ɩɨ-
ɜɟɪɯɧɨɫɬɹɦɢ, ɜɵɱɢɫɥɹɟɦɨɟ ɩɨ ɧɨɪɦɚɥɢ ɤ
1
6
,
ɧɚɡɨɜɟɦ ɬɨɥɳɢɧɨɣ ɩɨ-
ɝɪɚɧɢɱɧɨɝɨ ɫɥɨɹ. Ȼɭɞɟɦ ɩɨɥɚɝɚɬɶ, ɱɬɨ
h
ɹɜɥɹɟɬɫɹ ɩɟɪɟɦɟɧɧɨɣ ɮɭɧɤ-
ɰɢɟɣ ɤɪɢɜɨɥɢɧɟɣɧɵɯ ɤɨɨɪɞɢɧɚɬ
1 2
,
,
X X
ɫɜɹɡɚɧɧɵɯ ɫ ɩɨɜɟɪɯɧɨɫɬɶɸ
1
,
6
ɮɭɧɤɰɢɹ
h
1 2
( ,
)
X X
ɩɪɟɞɩɨɥɚɝɚɟɬɫɹ ɡɚɞɚɧɧɨɣ. Ɉɛɥɚɫɬɶ
,
e
V
ɨɝɪɚ-
ɧɢɱɟɧɧɭɸ ɩɨɜɟɪɯɧɨɫɬɹɦɢ
1
6
,
,
e
6
ɩɨɜɟɪɯɧɨɫɬɶɸ ɜɯɨɞɚ ɩɨɬɨɤɚ
3
,
6
ɩɨɜɟɪɯɧɨɫɬɶɸ ɜɵɯɨɞɚ ɩɨɬɨɤɚ
4
6
ɢ, ɜɨɡɦɨɠɧɨ, ɩɨɜɟɪɯɧɨɫɬɶɸ ɫɢɦ-
ɦɟɬɪɢɢ
5
,
6
ɧɚɡɨɜɟɦ ɩɨɝɪɚɧɢɱɧɵɦ ɫɥɨɟɦ.
ȼ ɨɛɥɚɫɬɢ
e
V
ɩɨɝɪɚɧɢɱɧɨɝɨ ɫɥɨɹ ɛɭɞɟɦ ɩɪɟɞɩɨɥɚɝɚɬɶ ɫɩɪɚɜɟɞɥɢ-
ɜɵɦɢ ɬɪɟɯɦɟɪɧɵɟ ɭɪɚɜɧɟɧɢɹ ɇɚɜɶɟ—ɋɬɨɤɫɚ:
0;
0;
0.
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t
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° w°
° w°
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® w°
° w°
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° w¯
v
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v v E T
v T v q
U
U
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(1)