ISSN 1812-3368. ȼɟɫɬɧɢɤ ɆȽɌɍ ɢɦ. ɇ.ɗ. Ȼɚɭɦɚɧɚ. ɋɟɪ. «ȿɫɬɟɫɬɜɟɧɧɵɟ ɧɚɭɤɢ». 2012
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ɢɥɢ
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1
2
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0
2
* 0
1
1
.
2 ( )
(
)
(
)
p
p
f
f
r
f
J
J
J
J
J
V
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V
V
§
·
˜
¨
¸
©
¹
(14)
ɍɪɚɜɧɟɧɢɟ (14) ɩɪɢ ɮɢɤɫɢɪɨɜɚɧɧɨɦ
V
ɹɜɥɹɟɬɫɹ ɧɟɥɢɧɟɣɧɵɦ ɨɬ-
ɧɨɫɢɬɟɥɶɧɨ
p
.
Ɋɟɲɢɜ ɟɝɨ, ɧɚɣɞɟɦ ɪɚɫɩɪɟɞɟɥɟɧɢɟ ɞɚɜɥɟɧɢɹ ɧɚ ɢɧɬɟɪ-
ɜɚɥɟ
0
[0; ]
V
ɤɚɤ ɮɭɧɤɰɢɸ
.
V
Ⱥɧɚɥɢɡ ɪɟɡɭɥɶɬɚɬɨɜ.
Ⱦɥɹ ɩɪɢɦɟɪɚ ɩɪɢɜɟɞɟɦ ɪɟɡɭɥɶɬɚɬɵ ɪɚɫɱɟ-
ɬɨɜ ɩɨ ɩɪɟɞɥɨɠɟɧɧɨɦɭ ɦɟɬɨɞɭ ɞɥɹ ɷɥɥɢɩɫɨɢɞɨɜ ɞɜɭɯ ɬɢɩɨɜ ɫ ɨɬɧɨ-
ɲɟɧɢɟɦ ɩɨɥɭɨɫɟɣ
b
/
a
= 1 / 2 (ɪɢɫ. 1) [3] ɢ
b
/
a
= 3 / 2 (ɪɢɫ. 2) [4] ɩɪɢ
ɪɚɡɥɢɱɧɵɯ ɡɧɚɱɟɧɢɹɯ ɱɢɫɥɚ Ɇɚɯɚ. ɂɡ ɫɪɚɜɧɟɧɢɹ ɪɚɫɱɟɬɧɵɯ ɞɚɧɧɵɯ ɫ
ɬɚɛɥɢɱɧɵɦɢ [3, 4] ɜɢɞɧɨ, ɱɬɨ ɩɪɢ ɪɚɫɱɟɬɟ ɞɚɜɥɟɧɢɹ ɧɚ ɷɥɥɢɩɫɨɢɞɟ ɫ
ɨɬɧɨɲɟɧɢɟɦ ɩɨɥɭɨɫɟɣ
b
/
a
= 1 / 2 ɩɪɢ ɧɢɡɤɢɯ ɡɧɚɱɟɧɢɹɯ ɱɢɫɥɚ Ɇɚɯɚ
ɦɨɠɧɨ ɩɨɥɭɱɢɬɶ ɭɞɨɜɥɟɬɜɨɪɢɬɟɥɶɧɵɣ ɪɟɡɭɥɶɬɚɬ, ɢɫɩɨɥɶɡɭɹ ɮɨɪɦɭɥɭ
ɇɶɸɬɨɧɚ. Ɉɞɧɚɤɨ ɩɪɢ ɛɨɥɶɲɢɯ ɡɧɚɱɟɧɢɹɯ ɱɢɫɥɚ Ɇɚɯɚ ɞɥɹ ɷɥɥɢɩɫɨɢ-
ɞɚ ɫ ɫɨɨɬɧɨɲɟɧɢɟɦ ɩɨɥɭɨɫɟɣ
b
/
a
= 3 / 2 ɢɦɟɟɬɫɹ ɡɧɚɱɢɬɟɥɶɧɨɟ ɪɚɫɫɨ-
ɝɥɚɫɨɜɚɧɢɟ ɞɚɜɥɟɧɢɹ, ɪɚɫɫɱɢɬɚɧɧɨɝɨ ɩɨ ɮɨɪɦɭɥɟ ɇɶɸɬɨɧɚ, ɫ ɞɚɧɧɵ-
ɦɢ [3, 4]. ȼ ɬɨ ɠɟ ɜɪɟɦɹ ɩɪɟɞɥɚɝɚɟɦɵɣ ɦɟɬɨɞ ɜ ɨɬɧɨɲɟɧɢɢ ɜɫɟɝɨ
ɩɪɟɞɫɬɚɜɥɟɧɧɨɝɨ ɧɚɛɨɪɚ ɢɫɯɨɞɧɵɯ ɩɚɪɚɦɟɬɪɨɜ ɞɚɟɬ ɜɩɨɥɧɟ ɩɪɢɟɦɥɟ-
ɦɵɟ ɪɟɡɭɥɶɬɚɬɵ ɞɥɹ ɛɵɫɬɪɨɣ ɨɰɟɧɤɢ ɞɚɜɥɟɧɢɹ ɧɚ ɩɨɜɟɪɯɧɨɫɬɢ ɬɟɥɚ.
ɚ
Ɋɢɫ. 2. Ɂɚɜɢɫɢɦɨɫɬɶ ɞɚɜɥɟɧɢɹ
ɪ
ɨɬ ɭɝɥɚ ɧɚɤɥɨɧɚ
V
ɞɥɹ
b
/
a
= 3 / 2,
– – – —
ɩɨ ɮɨɪɦɭɥɟ ɇɶɸɬɨɧɚ;
˜˜˜˜˜
ɩɨ ɩɪɟɞɥɚɝɚɟɦɨɦɭ ɦɟɬɨɞɭ;