Моделирование транспортных процессов. Учебное пособие
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ȼɟɥɢɱɢɧɚ ɫɤɨɪɨɫɬɢ Y ɢ ɩɥɨɬɧɨɫɬɢ T ɤɨɬɨɪɵɟ ɦɚɤɫɢɦɢɡɢɪɭɸɬ ɢɧɬɟɧɫɢɜɧɨɫɬɶ ɩɨɬɨɤɚ 1 ɦɨɝɭɬ ɛɵɬɶ ɩɨɥɭɱɟɧɵ ɩɭɬɟɦ ɞɢɮɮɟɪɟɧɰɢɪɨɜɚɧɢɹ ɜɵɲɟɩɪɢɜɟɞɟɧɧɵɯ ɦɨɞɟɥɟɣ 23), (1.24 ɢ ɞɚɧɵ ɧɢɠɟ
n=- ɦɨɞɟɥɶ Ƚɪɢɧɛɟɪɝɚ Y1 =C, q1=qmax/e, Nmax=C qmax/e;
Q ɦɨɞɟɥɶ Ƚɪɢɧɲɢɥɶɞɫɚ Y1=v0/2, q1=qmax/2, Nmax= v0 qmax/4;
nz- ɨɛɨɛɳɟɧɧɚɹ ɦɨɞɟɥɶ Y1=(n+1)v0/(n+3), q1=qmax((n+3)/2)2/(n+1),
Nmax= v0 qmax((n+1)/(1/22/n+1(n+3)2/(n+1)+1));
Ɋɚɫɫɦɨɬɪɢɦ ɭɪɚɜɧɟɧɢɟ ɫɨɯɪɚɧɟɧɢɹ ɤɨɥɢɱɟɫɬɜɚ ɞɜɢɠɟɧɢɹ ɉɪɢ ɞɜɢɠɟɧɢɢɌɉ ɩɨ ɚɧɚɥɨɝɢɢɫ ɞɜɢɠɟɧɢɟɦ ɠɢɞɤɨɫɬɢ ɤɨɥɢɱɟɫɬɜɨ ɞɜɢɠɟɧɢɹ ɯɚɪɚɤɬɟɪɢɡɭɟɬɫɹ ɜɟɥɢɱɢɧɨɣ TY Ⱦɚɧɧɨɟ ɭɪɚɜɧɟɧɢɟ ɩɨɥɭɱɚɟɬɫɹ ɭɦɧɨɠɟɧɢɟɦ ɧɚ Y ɭɪɚɜɧɟɧɢɹ ɧɟɪɚɡɪɵɜɧɨɫɬɢ ɢ ɭɦɧɨɠɟɧɢɟɦ ɧɚ T ɭɪɚɜɧɟɧɢɹ ɞɜɢɠɟɧɢɹ Ɂɚɬɟɦ ɫɤɥɚɞɵɜɚɹ ɩɨɥɭɱɟɧɧɵɟ ɭɪɚɜɧɟɧɢɹ ɩɨɥɭɱɚɟɦ ɭɪɚɜɧɟɧɢɟ ɫɨɯɪɚɧɟɧɢɹ ɤɨɥɢɱɟɫɬɜɚ ɞɜɢɠɟɧɢɹ
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Ɋɚɫɫɦɨɬɪɢɦ ɭɪɚɜɧɟɧɢɟ ɯɚɪɚɤɬɟɪɢɡɭɸɳɟɟ ɷɧɟɪɝɟɬɢɱɟɫɤɨɟ ɫɨɫɬɨɹɧɢɟ Ɍɉ Ɉɛɳɟɟ ɷɧɟɪɝɟɬɢɱɟɫɤɨɟ ɫɨɫɬɨɹɧɢɟ Ɍɉ ɩɨɥɶɡɭɹɫɶ ɝɢɞɪɨɞɢɧɚɦɢɱɟɫɤɨɣ ɚɧɚɥɨɝɢɟɣ ɦɨɠɧɨ ɯɚɪɚɤɬɟɪɢɡɨɜɚɬɶ ɫɭɦɦɨɣ ɤɢɧɟɬɢɱɟɫɤɨɣ (N ɢ ɜɧɭɬɪɟɧɧɟɣ 8 ɷɧɟɪɝɢɢ
E=Ek + U |
(1.26) |
ɍɪɚɜɧɟɧɢɟ 26 ɹɜɥɹɟɬɫɹ ɡɚɤɨɧɨɦ ɫɨɯɪɚɧɟɧɢɹ ɷɧɟɪɝɢɢ Ɍɉ ɉɪɢ ɷɬɨɦ ɤɢɧɟɬɢɱɟɫɤɚɹ ɷɧɟɪɝɢɹ Ɍɉ ɨɩɪɟɞɟɥɹɟɬɫɹ ɤɚɤ
Ek=Jqv2, |
(1.27) |
ɝɞɟ J - ɩɨɫɬɨɹɧɧɚɹ
ȼɧɭɬɪɟɧɧɹɹ ɷɧɟɪɝɢɹ ɯɚɪɚɤɬɟɪɢɡɭɟɬ ɫɬɟɩɟɧɶ ɭɫɬɨɣɱɢɜɨɫɬɢ ɞɜɢɠɟɧɢɹ Ɍɉ ɨɬ ɤɨɬɨɪɨɣ ɡɚɜɢɫɢɬ ɜɟɥɢɱɢɧɚ ɷɬɨɣ ɷɧɟɪɝɢɢ ɉɨɬɟɪɹ ɜɧɭɬɪɟɧɧɟɣ ɷɧɟɪɝɢɢ ɦɨɠɟɬ ɛɵɬɶ ɜɵɡɜɚɧɚ ɧɟɛɥɚɝɨɩɪɢɹɬɧɵɦɢ ɞɨɪɨɠɧɵɦɢ ɭɫɥɨɜɢɹɦɢ ɢɥɢ ɭɜɟɥɢɱɟɧɢɟɦ ɩɥɨɬɧɨɫɬɢ ɩɨɬɨɤɚ ȼɟɥɢɱɢɧɨɣ
21
ɜɧɭɬɪɟɧɧɟɣ ɷɧɟɪɝɢɢ ɫɱɢɬɚɸɬ ɫɪɟɞɧɟɤɜɚɞɪɚɬɢɱɧɭɸ ɜɟɥɢɱɢɧɭ ɭɫɤɨɪɟɧɢɹ ɞɜɢɠɟɧɢɹ ɚɜɬɨɦɨɛɢɥɟɣ Vɚ ɧɚ ɭɱɚɫɬɤɟ ɞɨɪɨɝɢ 6
E=Jqv2 + Vɚ |
(1.28) |
Ƚɪɚɧɢɱɧɵɦɢ ɭɫɥɨɜɢɹɦɢ ɡɚɤɨɧɚ ɹɜɥɹɸɬɫɹ |
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ɩɪɢ Yo0, |
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E=Jqmaxv2max; |
(1.29) |
ɩɪɢ (No0, |
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ȿ Vɚ max. |
(1.30) |
ɂɫɯɨɞɹ ɢɡ ɝɪɚɧɢɱɧɵɯ ɭɫɥɨɜɢɣ 6 ɩɨɥɭɱɢɦ J ɤɚɤ |
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J=(Vɚ max/(qmaxv2max). |
(1.31) |
Ɍɚɤɢɦ ɨɛɪɚɡɨɦ ɭɪɚɜɧɟɧɢɟ 27 ɩɪɢɦɟɬ ɨɤɨɧɱɚɬɟɥɶɧɵɣ ɜɢɞ
E |
Va max |
q v2 Va |
(1.32) |
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qmax vmax2 |
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Ɉɫɧɨɜɧɚɹ ɞɢɚɝɪɚɦɦɚ Ɍɉ (ɪɢɫ Ɉɫɧɨɜɧɵɟ ɭɪɚɜɧɟɧɢɹ ɞɜɢɠɟɧɢɹ Ɍɉ ɤɚɤ ɫɩɥɨɲɧɨɣ ɫɪɟɞɵ ɦɨɠɧɨ ɢɫɩɨɥɶɡɨɜɚɬɶ ɞɥɹ ɚɧɚɥɢɡɚ ɜɨɡɧɢɤɧɨɜɟɧɢɹ ɜɨɥɧ ɜ ɩɨɬɨɤɟ ɜɵɡɵɜɚɸɳɢɯ ɤɚɱɟɫɬɜɟɧɧɵɟ ɢɡɦɟɧɟɧɢɹ ɜ ɧɟɦ ɋɤɨɪɨɫɬɶ ɪɚɫɩɪɨɫɬɪɚɧɟɧɢɹ ɤɢɧɟɦɚɬɢɱɟɫɤɨɣ ɜɨɥɧɵ ɨɩɪɟɞɟɥɹɸɬ ɫ
ɩɨɦɨɳɶɸ ɨɫɧɨɜɧɨɣ ɞɢɚɝɪɚɦɦɵ Ɍɉ
N
A |
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Ɋɢɫ 1.8 Ɉɫɧɨɜɧɚɹ ɞɢɚɝɪɚɦɦɚ ɬɪɚɧɫɩɨɪɬɧɨɝɨ ɩɨɬɨɤɚ
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ɉɪɢ ɷɬɨɦ ɫɪɟɞɧɹɹ ɫɤɨɪɨɫɬɶ YFS ɞɜɢɠɟɧɢɹ Ɍɉ ɢ ɦɝɧɨɜɟɧɧɚɹ ɫɤɨɪɨɫɬɶ Yɦ ɛɭɞɭɬ ɨɩɪɟɞɟɥɹɬɶɫɹ ɤɚɤ
vñð |
N |
tg(D) |
(1.33) |
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vì |
dN |
tg(E) |
d qvñð |
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vñð q |
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ɋɤɨɪɨɫɬɶ ɪɚɫɩɪɨɫɬɪɚɧɟɧɢɹ ɤɢɧɟɦɚɬɢɱɟɫɤɨɣ ɜɨɥɧɵ Yɦ ɪɚɜɧɚ ɬɚɧɝɟɧɫɭ ɭɝɥɚ ɧɚɤɥɨɧɚ ɤ ɨɫɢ ɯ ɤɚɫɚɬɟɥɶɧɨɣ ɤ ɤɪɢɜɨɣ 1 T ɋ ɭɜɟɥɢɱɟɧɢɟɦ ɩɥɨɬɧɨɫɬɢ T ɭɝɨɥ ɧɚɤɥɨɧɚ E ɤɚɫɚɬɟɥɶɧɨɣ ɭɦɟɧɶɲɚɟɬɫɹ ɜɵɡɵɜɚɹ ɭɦɟɧɶɲɟɧɢɟ ɫɤɨɪɨɫɬɢ ɩɨɬɨɤɚ Yɫɪ Ʉɚɤ ɫɥɟɞɭɟɬ ɢɡ ɭɪɚɜɧɟɧɢɹ (1.34 ɜɟɥɢɱɢɧɚ Yɦ ɩɪɢɧɢɦɚɟɬ ɦɟɧɶɲɢɟ ɡɧɚɱɟɧɢɹ ɱɟɦ Yɫɪ ɩɪɢ ɭɫɥɨɜɢɢ ɨɬɪɢɰɚɬɟɥɶɧɨɝɨ ɨɬɧɨɲɟɧɢɹ GY GT ɋɤɨɪɨɫɬɢ Yɦ ɢ Yɫɪ ɩɪɢɧɢɦɚɸɬ ɪɚɜɧɵɟ ɡɧɚɱɟɧɢɹ ɬɨɥɶɤɨ ɩɪɢ ɢɧɬɟɧɫɢɜɧɨɫɬɢ ɩɪɢ ɤɨɬɨɪɨɣ ɧɚɱɢɧɚɟɬ ɫɤɚɡɵɜɚɬɶɫɹ ɜɡɚɢɦɧɨɟ ɜɥɢɹɧɢɟ ɚɜɬɨɦɨɛɢɥɟɣ ɜ Ɍɉ ȼ ɷɬɨɣ ɬɨɱɤɟ ɤɪɢɜɨɣ 1 T ɨɬɧɨɲɟɧɢɟ GY GT
Ɋɚɫɫɦɚɬɪɢɜɚɟɦɵɟ ɜɨɥɧɵ ɦɨɠɧɨ ɧɚɡɜɚɬɶ ɜɨɥɧɚɦɢ ɢɡɦɟɧɟɧɢɹ ɢɧɬɟɧɫɢɜɧɨɫɬɢ Ɍɉ ɩɨ ɞɥɢɧɟ ɞɨɪɨɝɢ ɉɪɢ ɦɚɤɫɢɦɚɥɶɧɨɣ ɢɧɬɟɧɫɢɜɧɨɫɬɢ ɞɜɢɠɟɧɢɹ ɫɨɨɬɜɟɬɫɬɜɭɸɳɟɣ ɩɪɨɩɭɫɤɧɨɣ ɫɩɨɫɨɛɧɨɫɬɢ ɜɨɡɧɢɤɚɟɬ ɫɬɚɰɢɨɧɚɪɧɚɹ ɜɨɥɧɚ ɇɚɥɨɠɟɧɢɟ ɛɨɥɟɟ ɛɵɫɬɪɵɯ ɜɨɥɧ ɧɚ ɛɨɥɟɟ ɦɟɞɥɟɧɧɵɟ ɩɪɢɜɨɞɢɬ ɤ ɨɛɪɚɡɨɜɚɧɢɸ ɭɞɚɪɧɨɣ ɜɨɥɧɵ ɪɢɫ .).
q
qmax
2
v
x
Ɋɢɫ 9 Ɉɛɪɚɡɨɜɚɧɢɟ ɭɞɚɪɧɨɣ ɜɨɥɧɵ
ɍɞɚɪɧɵɟ ɜɨɥɧɵ ɜ Ɍɉ Ɋɚɫɫɦɨɬɪɟɧɢɟ ɦɚɤɪɨɫɤɨɩɢɱɟɫɤɨɣ ɦɨɞɟɥɢ Ɍɉ ɩɨɤɚɡɵɜɚɟɬ ɱɬɨ ɜ ɧɟɣ ɬ ɟ ɧɚ ɤɪɢɜɵɯ 1 Y ɫɭɳɟɫɬɜɭɸɬ ɨɛɥɚɫɬɢ ɧɟɭɫɬɨɣɱɢɜɨɫɬɢ ɉɨɥɭɱɢɦ ɭɪɚɜɧɟɧɢɟ ɜ ɩɪɢɪɚɳɟɧɢɹɯ ɞɥɹ ɦɨɞɟɥɢ Ƚɪɢɧɲɢɥɶɞɫɚ Q ɩɭɬɟɦ ɩɪɢɞɚɧɢɹ ɩɪɢɪɚɳɟɧɢɹ 'v ɨɬɛɪɚɫɵɜɚɧɢɹ ɫɨɫɬɚɜɥɹɸɳɢɯ ɜɬɨɪɨɝɨ ɩɨɪɹɞɤɚ ɢ ɫɨɫɬɚɜɥɹɸɳɢɯ ɧɟ ɫɨɞɟɪɠɚɳɢɯ 'v:
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(1.35) |
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'N qmax v 'v ¨1 |
v0 |
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qmax ¨1 |
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ɋɱɢɬɚɟɦ ɱɬɨ ɫɤɨɪɨɫɬɶ Y > Y @ ɢ GY GT! ɬɨɝɞɚ ɟɫɥɢ ɩɨ ɥɸɛɨɣ ɩɪɢɱɢɧɟ ɫɤɨɪɨɫɬɶ ɧɟɤɨɬɨɪɨɣ ɱɚɫɬɢ ɩɨɬɨɤɚ ɩɨɧɢɡɢɬɫɹ ɧɚ 'Y ɬɨ ɢɧɬɟɧɫɢɜɧɨɫɬɶ 1 ɜ ɫɨɨɬɜɟɬɫɬɜɢɢ ɫ 35 ɩɨɧɢɡɢɬɫɹ ɧɚ 'N. ɋɥɟɞɨɜɚɬɟɥɶɧɨ ɩɥɨɬɧɨɫɬɶ ɷɬɨɣ ɱɚɫɬɢ ɩɨɬɨɤɚ ɩɨɜɵɫɢɬɫɹ ɢ ɫɤɨɪɨɫɬɶ ɞɚɥɶɲɟ ɛɭɞɟɬ ɫɧɢɠɚɬɶɫɹ Ɍɚɤɢɦ ɨɛɪɚɡɨɦ ɜɫɥɟɞɫɬɜɢɟ ɜɨɡɞɟɣɫɬɜɢɹ ɤɨɧɬɭɪɚ ɩɨɥɨɠɢɬɟɥɶɧɨɣɨɛɪɚɬɧɨɣɫɜɹɡɢ ɜɨɡɦɭɳɟɧɢɟ ɫɤɨɪɨɫɬɢɹɜɥɹɟɬɫɹ ɧɟɡɚɬɭɯɚɸɳɢɦ ɱɬɨ ɢ ɞɟɦɨɧɫɬɪɢɪɭɟɬ ɧɟɭɫɬɨɣɱɢɜɨɫɬɶ ɩɨɜɟɞɟɧɢɹ Ɍɉɪɢɫ ) ȼ ɷɬɢɯ ɫɥɭɱɚɹɯ ɚɜɬɨɦɨɛɢɥɢ ɜɵɧɭɠɞɟɧɵ ɧɟɨɞɧɨɤɪɚɬɧɨ ɬɪɨɝɚɬɶɫɹ ɫ ɦɟɫɬɚ ɢ ɨɫɬɚɧɚɜɥɢɜɚɬɶɫɹ Ɍɚɤɨɟ ɹɜɥɟɧɢɟ ɧɨɫɢɬ ɧɚɡɜɚɧɢɟ ɭɞɚɪɧɚɹ ɜɨɥɧɚ
ɉɈɋ
Ɋɢɫ. 1.10 ȼɥɢɹɧɢɟ ɩɨɥɨɠɢɬɟɥɶɧɨɣ ɨɛɪɚɬɧɨɣ ɫɜɹɡɢ
Ʉɚɤ ɩɨɤɚɡɚɧɨ ɧɚ ɪɢɫ 11 ɩɪɢɦɟɦ ɱɬɨ ɩɥɨɬɧɨɫɬɢ ɫɨɫɟɞɧɢɯ ɭɱɚɫɬɤɨɜ ɢ ɞɨɪɨɝɢ ɪɚɡɥɢɱɧɵ ɢ ɨɛɨɡɧɚɱɢɦ ɩɥɨɬɧɨɫɬɶ ɢ ɫɤɨɪɨɫɬɶ ɞɜɢɠɟɧɢɹ ɱɟɪɟɡ T T ɢ Y Y ȿɫɥɢ ɋ – ɫɤɨɪɨɫɬɶ ɞɜɢɠɭɳɟɣɫɹ ɝɪɚɧɢɰɵ ɦɟɠɞɭ ɢ ɬɨ ɢɫɯɨɞɹ ɢɡ ɭɪɚɜɧɟɧɢɹ ɧɟɪɚɡɪɵɜɧɨɫɬɢ 5 ɢɦɟɟɦ
(C v1 )q1 (C v2 )q2 |
(1.36) |
q, N
C
N1, q1
N2, q2 v1 
v2
x
Ɋɢɫ 1.11 Ⱦɜɢɠɟɧɢɟ ɝɪɚɧɢɰ ɩɥɨɬɧɨɫɬɢ ɬɪɚɧɫɩɨɪɬɧɨɝɨ ɩɨɬɨɤɚ
Ɋɟɲɚɹ ɭɪɚɜɧɟɧɢɟ ɨɬɧɨɫɢɬɟɥɶɧɨ ɋ ɩɨɥɭɱɢɦ
24
C |
v1q1 v2 q2 |
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N1 |
N2 |
(1.37) |
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q2 |
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q2 |
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ȼ ɫɥɭɱɚɟ ɦɚɥɵɯ ɢɡɦɟɧɟɧɢɣ ɩɥɨɬɧɨɫɬɢ T ɦɵ ɦɨɠɟɦ ɥɟɝɤɨ ɩɨɥɭɱɢɬɶɫɤɨɪɨɫɬɶɫɩɟɪɟɞɜɢɠɟɧɢɹɝɪɚɧɢɱɧɨɣɬɨɱɤɢɢɡ ɭɪɚɜɧɟɧɢɹ 37) ɬ ɟ ɫ G1 GT ɍɱɢɬɵɜɚɹ ɭɪɚɜɧɟɧɢɟ ɫɨɫɬɨɹɧɢɹ Ɍɉ ɩɨɥɭɱɢɦ
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ɇɚɩɪɢɦɟɪ ɞɥɹ ɦɨɞɟɥɢ Ƚɪɢɧɲɢɥɶɞɫɚ ɫɨɨɬɧɨɲɟɧɢɹ 23), (1.24) ɩɪɢ Q ɜɟɥɢɱɢɧɵ ɫ ɢ ɋ ɨɩɪɟɞɟɥɹɸɬ ɩɨ ɮɨɪɦɭɥɚɦ
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ɂɡ ɭɪɚɜɧɟɧɢɹ 40 ɫɥɟɞɭɟɬ ɱɬɨ ɫɤɨɪɨɫɬɶ ɝɪɚɧɢɱɧɨɣ ɬɨɱɤɢ ɫ ɩɪɢ ɩɪɟɧɟɛɪɟɠɢɦɨ ɦɚɥɨɦ ɢɡɦɟɧɟɧɢɢ T ɢɥɢ Y ɭɞɨɜɥɟɬɜɨɪɹɟɬ ɭɫɥɨɜɢɹɦ
°c 0, ɩɪɢ q !
°
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°c ! 0 ɩɪɢ q
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qmax2 ɢɥɢ v v20 ;
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Ɍɚɤɢɦ ɨɛɪɚɡɨɦ ɜ Ɍɉ ɩɨɤɚɡɚɧɧɨɦ ɫɩɥɨɲɧɨɣ ɥɢɧɢɟɣ ɧɚ ɪɢɫ .9, ɱɚɫɬɶ ɜɨɥɧɵ ɧɚɞ ɥɢɧɢɟɣ T TPD[ ɛɭɞɟɬ ɞɜɢɝɚɬɶɫɹ ɧɚɡɚɞ ɩɪɨɬɢɜ ɩɨɬɨɤɚ ɚ ɱɚɫɬɶ ɜɨɥɧɵ ɧɢɠɟ ɥɢɧɢɢ – ɜɩɟɪɟɞ ɜ ɧɚɩɪɚɜɥɟɧɢɢ ɩɨɬɨɤɚ ɉɨɷɬɨɦɭ ɢɫɯɨɞɧɚɹ ɮɨɪɦɚ ɜɨɥɧɵ ɬɪɚɧɫɩɨɪɬɧɨɝɨ ɩɨɬɨɤɚ ɢɡɦɟɧɹɟɬɫɹ ɢ ɜ ɩɪɟɞɟɥɟ ɩɪɢɨɛɪɟɬɚɟɬ ɮɨɪɦɭ ɩɨɤɚɡɚɧɧɭɸ ɩɭɧɤɬɢɪɨɦ ɩɪɢ ɤɨɬɨɪɨɣ ɫɭɳɟɫɬɜɭɸɬ ɪɟɡɤɢɟɢɡɦɟɧɟɧɢɹɜɩɥɨɬɧɨɫɬɢ ɗɬɚ ɬɨɱɤɚɪɚɡɪɵɜɚ ɩɥɨɬɧɨɫɬɢɧɚɡɵɜɚɟɬɫɹ ɭɞɚɪɧɵɦ ɮɪɨɧɬɨɦ Ɍɉ ɤɨɬɨɪɵɣ ɩɨɫɥɟ ɨɛɪɚɡɨɜɚɧɢɹ ɞɜɢɠɟɬɫɹ ɫɨ ɫɤɨɪɨɫɬɶɸ ɨɩɪɟɞɟɥɹɟɦɨɣ ɭɪɚɜɧɟɧɢɟɦ 31 Ʉɨɝɞɚ ɨɛɪɚɡɭɟɬɫɹ ɭɞɚɪɧɚɹ ɜɨɥɧɚ ɚɜɬɨɦɨɛɢɥɢ ɧɚɱɢɧɚɸɬ ɜɟɫɬɢ ɫɟɛɹ ɜ ɫɨɨɬɜɟɬɫɬɜɢɢ ɫ ɪɢɫ 12 ɢ ɜɵɧɭɠɞɟɧɵ ɡɚɦɟɞɥɹɬɶ ɫɤɨɪɨɫɬɶ ɢɥɢ ɨɫɬɚɧɚɜɥɢɜɚɬɶɫɹ
25
x 
ɍɞɚɪɧɚɹ ɜɨɥɧɚ
T
Ɋɢɫ ɍɞɚɪɧɚɹ ɜɨɥɧɚ
ȼɨɩɪɨɫɵ ɞɥɹ ɩɨɜɬɨɪɟɧɢɹ
1.ɉɟɪɟɱɢɫɥɢɬɟ ɨɫɧɨɜɧɵɟ ɭɪɚɜɧɟɧɢɹ ɬɪɚɧɫɩɨɪɬɧɨɝɨ ɩɨɬɨɤɚ ɩɪɢ ɨɩɢɫɚɧɢɢ ɟɝɨ ɧɚ ɦɚɤɪɨɭɪɨɜɧɟ
2.ɉɨɫɬɪɨɣɬɟ ɝɪɚɮɢɤ ɡɚɜɢɫɢɦɨɫɬɢ ɩɥɨɬɧɨɫɬɢ ɨɬ ɫɤɨɪɨɫɬɢ Ɍɉ ɞɥɹ ɦɨɞɟɥɢ Ƚɪɢɧɲɢɥɞɫɚ
3.Ɂɚɩɢɲɢɬɟ ɡɚɜɢɫɢɦɨɫɬɶ ɢɧɬɟɧɫɢɜɧɨɫɬɢ ɨɬ ɩɥɨɬɧɨɫɬɢ ɩɨɬɨɤɚ ɞɥɹ ɦɨɞɟɥɢ Ƚɪɢɧɛɟɪɝɚ
4.Ʉɚɤ ɢɡ ɨɛɨɛɳɟɧɧɨɣ ɦɨɞɟɥɢ Ɍɉ ɩɨɥɭɱɢɬɶ ɦɨɞɟɥɢ Ƚɪɢɧɲɢɥɞɫɚ ɢ Ƚɪɢɧɛɟɪɝɚ"
5.Ɂɚɩɢɲɢɬɟ ɭɪɚɜɧɟɧɢɟ ɫɨɫɬɨɹɧɢɹ Ɍɉ
6.ȼ ɱɟɦ ɫɭɬɶ ɭɪɚɜɧɟɧɢɹ ɧɟɪɚɡɪɵɜɧɨɫɬɢ Ɍɉ"
7.ɑɬɨ ɬɚɤɨɟ ɨɫɧɨɜɧɚɹ ɞɢɚɝɪɚɦɦɚ Ɍɉ" ɂɡɨɛɪɚɡɢɬɟ ɝɪɚɮɢɤ ɨɫɧɨɜɧɨɣ ɞɢɚɝɪɚɦɦɵ Ɍɉ
8.Ʉɚɤɢɟ ɯɚɪɚɤɬɟɪɢɫɬɢɤɢ ɦɨɠɧɨ ɜɵɱɢɫɥɢɬɶ ɩɨɥɶɡɭɹɫɶ ɨɫɧɨɜɧɨɣ ɞɢɚɝɪɚɦɦɨɣ Ɍɉ"
1.7.Ɇɢɤɪɨɫɤɨɩɢɱɟɫɤɢɟ ɦɨɞɟɥɢ ɬɪɚɧɫɩɨɪɬɧɨɝɨ ɩɨɬɨɤɚ
ɉɪɢ ɭɱɟɬɟ ɜɡɚɢɦɨɞɟɣɫɬɜɢɹ ɦɟɠɞɭ ɚɜɬɨɦɨɛɢɥɹɦɢ ɜɨɡɧɢɤɚɸɬ ɡɚɞɚɱɢ ɭɫɬɚɧɨɜɥɟɧɢɹ ɡɚɤɨɧɨɦɟɪɧɨɫɬɟɣ ɪɟɠɢɦɚ ɞɜɢɠɟɧɢɹ ɨɞɢɧɨɱɧɵɯ ɚɜɬɨɦɨɛɢɥɟɣ ɢ ɦɟɯɚɧɢɡɦɚ ɩɟɪɟɞɚɱɢ ɜɨɡɞɟɣɫɬɜɢɹ ɚɜɬɨɦɨɛɢɥɟɣ ɞɪɭɝ ɧɚ ɞɪɭɝɚ ɉɪɢ ɷɬɨɦ ɧɟɨɛɯɨɞɢɦɨ ɞɟɬɚɥɶɧɨ ɪɚɫɫɦɚɬɪɢɜɚɬɶ ɫɢɫɬɟɦɭ ©ɜɨɞɢɬɟɥɶ-ɚɜɬɨɦɨɛɢɥɶª ɨɫɧɨɜɧɵɦ ɪɟɝɭɥɹɬɨɪɨɦ ɤɨɬɨɪɨɣ ɹɜɥɹɟɬɫɹ ɱɟɥɨɜɟɤ ɉɪɢ ɪɚɡɪɚɛɨɬɤɟ ɬɟɨɪɟɬɢɱɟɫɤɢɯ ɦɨɞɟɥɟɣ ɞɜɢɠɟɧɢɹ ɩɥɨɬɧɵɯ Ɍɉ ɭɱɢɬɵɜɚɸɬ ɩɨɤɚɡɚɬɟɥɢ ɯɚɪɚɤɬɟɪɢɡɭɸɳɢɟ ɞɟɣɫɬɜɢɹ ɜɨɞɢɬɟɥɟɣ ɇɚ
26
ɨɫɧɨɜɟ ɢɡɭɱɟɧɢɹ ɜɡɚɢɦɨɞɟɣɫɬɜɢɹ ɦɟɠɞɭ ɚɜɬɨɦɨɛɢɥɹɦɢ ɦɨɠɧɨ ɨɩɪɟɞɟɥɢɬɶ ɬɚɤɢɟ ɨɛɳɢɟ ɯɚɪɚɤɬɟɪɢɫɬɢɤɢ ɤɚɤ ɩɪɨɩɭɫɤɧɚɹ ɫɩɨɫɨɛɧɨɫɬɶ ɫɪɟɞɧɹɹ ɫɤɨɪɨɫɬɶ ɩɥɨɬɧɨɫɬɶ Ⱦɚɧɧɚɹ ɬɟɨɪɢɹ ɨɫɨɛɟɧɧɨ ɷɮɮɟɤɬɢɜɧɚ ɩɪɢ ɪɟɲɟɧɢɢɡɚɞɚɱ ɫɜɹɡɚɧɧɵɯɫɨɫɪɚɜɧɢɬɟɥɶɧɨɤɨɪɨɬɤɢɦɢɭɱɚɫɬɤɚɦɢɞɨɪɨɝ Ⱦɢɫɬɚɧɰɢɹ ɦɟɠɞɭɚɜɬɨɦɨɛɢɥɹɦɢ ɹɜɥɹɟɬɫɹ ɨɫɧɨɜɧɵɦ ɩɚɪɚɦɟɬɪɨɦ ɡɚɜɢɫɹɳɢɦ ɨɬ ɞɟɣɫɬɜɢɣ ɜɨɞɢɬɟɥɹ ɩɪɢ ɜɡɚɢɦɨɞɟɣɫɬɜɢɢ ɜ ɩɥɨɬɧɨɦ Ɍɉ ɉɟɪɜɵɟ ɞɢɧɚɦɢɱɟɫɤɢɟ ɬɟɨɪɢɢ Ɍɉ ɫɬɪɨɢɥɢɫɶ ɧɚ ɝɢɩɨɬɟɡɟ ɨ ɫɭɳɟɫɬɜɨɜɚɧɢɢ ɨɩɪɟɞɟɥɟɧɧɨɣ ɡɚɤɨɧɨɦɟɪɧɨɫɬɢ ɜɡɚɢɦɨɞɟɣɫɬɜɢɹ ɚɜɬɨɦɨɛɢɥɟɣ ɞɜɢɠɭɳɢɯɫɹ ɞɪɭɝ ɡɚ ɞɪɭɝɨɦ ɧɚ ɛɥɢɡɤɨɦ ɪɚɫɫɬɨɹɧɢɢ ɢ ɩɨɡɜɨɥɹɥɢ ɨɩɪɟɞɟɥɹɬɶ ɫɪɟɞɧɸɸ ɞɢɫɬɚɧɰɢɸ ɦɟɠɞɭ ɚɜɬɨɦɨɛɢɥɹɦɢ ɩɪɢ
ɪɚɡɥɢɱɧɵɯ ɫɤɨɪɨɫɬɹɯ ɞɜɢɠɟɧɢɹ Ɋɚɡɜɢɬɢɟɦ ɬɟɨɪɢɢ ɭɩɪɨɳɟɧɧɵɯ ɞɢɧɚɦɢɱɟɫɤɢɯ ɦɨɞɟɥɟɣ ɹɜɥɹɟɬɫɹ
ɬɟɨɪɢɹ ©ɫɥɟɞɨɜɚɧɢɹ ɡɚ ɥɢɞɟɪɨɦª ɨɫɧɨɜɚɧɧɚɹ ɧɚ ɝɢɩɨɬɟɡɟ ɨ ɫɭɳɟɫɬɜɨɜɚɧɢɢ ɨɩɪɟɞɟɥɟɧɧɨɣ ɡɚɤɨɧɨɦɟɪɧɨɫɬɢ ɜɡɚɢɦɨɞɟɣɫɬɜɢɹ ɚɜɬɨɦɨɛɢɥɟɣ ɞɜɢɠɭɳɢɯɫɹ ɞɪɭɝ ɡɚ ɞɪɭɝɨɦ ɧɚ ɛɥɢɡɤɨɦ ɪɚɫɫɬɨɹɧɢɢ Ⱦɢɮɮɟɪɟɧɰɢɚɥɶɧɨɟ ɭɪɚɜɧɟɧɢɟ ɬɟɨɪɢɢ ©ɫɥɟɞɨɜɚɧɢɹ ɡɚ ɥɢɞɟɪɨɦª ɩɨɥɭɱɟɧɨ ɢɫɯɨɞɹ ɢɡ ɩɪɟɞɩɨɫɵɥɤɢ ɱɬɨ ɜɫɟ ɚɜɬɨɦɨɛɢɥɢ ɞɜɢɠɭɬɫɹ ɜ ɤɨɥɨɧɧɟ ɧɚ ɪɚɫɫɬɨɹɧɢɢ ɬɪɟɛɭɟɦɨɦ ɩɪɚɜɢɥɚɦɢ ɞɨɪɨɠɧɨɝɨ ɞɜɢɠɟɧɢɹ
ɂɡ ɪɢɫ 13 ɜɢɞɧɨ ɱɬɨ ɩɪɢ ɫɨɛɥɸɞɟɧɢɢ ɬɪɟɛɨɜɚɧɢɣ ɩɪɚɜɢɥ ɞɜɢɠɟɧɢɹ ɩɨɥɨɠɟɧɢɹ Q-ɧɨɝɨ ɢ Q ɚɜɬɨɦɨɛɢɥɟɣ ɦɨɠɧɨ ɜɵɪɚɡɢɬɶ ɡɚɜɢɫɢɦɨɫɬɶɸ
xn 1 xn (l0 t p vn ) ln 1 , |
(1.42) |
ɝɞɟ O – ɦɢɧɢɦɚɥɶɧɨɟ ɪɚɫɫɬɨɹɧɢɟ ɦɟɠɞɭ ɫɬɨɹɳɢɦɢ ɚɜɬɨɦɨɛɢɥɹɦɢ WSYQ
– ɪɚɫɫɬɨɹɧɢɹ ɦɟɠɞɭ ɚɜɬɨɦɨɛɢɥɹɦɢ ɭɫɬɚɧɚɜɥɢɜɚɟɦɵɟ ɜ ɡɚɜɢɫɢɦɨɫɬɢ ɨɬ ɫɤɨɪɨɫɬɢ ɞɜɢɠɟɧɢɹ OQ+1 – ɞɥɢɧɚ ɚɜɬɨɦɨɛɢɥɹ Q – ɩɨɪɹɞɤɨɜɵɣ ɧɨɦɟɪ ɚɜɬɨɦɨɛɢɥɹ
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Ɋɢɫ 1.13 Ʉɨɨɪɞɢɧɚɬɵ ɩɨɥɨɠɟɧɢɹ ɚɜɬɨɦɨɛɢɥɟɣ ɩɪɢ ɞɜɢɠɟɧɢɢ ɜ ɤɨɥɨɧɧɟ |
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Ⱦɢɮɮɟɪɟɧɰɢɪɭɹ 42 ɩɨ ɜɪɟɦɟɧɢ ɩɨɥɭɱɢɦ |
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ɝɞɟ Q |
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27
ȼɵɪɚɡɢɦ ɫɨɨɬɧɨɲɟɧɢɟ 43 ɱɟɪɟɡ ɫɤɨɪɨɫɬɶ Y ɫɥɟɞɭɸɳɢɦ ɨɛɪɚɡɨɦ
vn 1 t vn t t p |
dvn t t p |
(1.44) |
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dvn t t p |
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(1.45) |
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ɝɞɟGYQ GW– ɭɫɤɨɪɟɧɢɟɡɚɞɧɟɝɨɚɜɬɨɦɨɛɢɥɹ YQɢYQ – ɫɤɨɪɨɫɬɢɡɚɞɧɟɝɨ ɢ ɩɟɪɟɞɧɟɝɨ ɚɜɬɨɦɨɛɢɥɟɣ D=1/tp, tp – ɩɪɨɞɨɥɠɢɬɟɥɶɧɨɫɬɶ ɪɟɚɤɰɢɢ
ɍɪɚɜɧɟɧɢɟ 45 ɹɜɥɹɟɬɫɹ ɩɟɪɜɵɦ ɞɢɮɮɟɪɟɧɰɢɚɥɶɧɵɦ ɭɪɚɜɧɟɧɢɟɦ ɬɟɨɪɢɢ ©ɫɥɟɞɨɜɚɧɢɹ ɡɚ ɥɢɞɟɪɨɦª ɢɥɢ ɥɢɧɟɣɧɨɣ ɬɟɨɪɢɢ ©ɫɥɟɞɨɜɚɧɢɹ ɡɚ ɥɢɞɟɪɨɦª ɢ ɮɨɪɦɭɥɢɪɭɟɬɫɹ ɫɥɟɞɭɸɳɢɦ ɨɛɪɚɡɨɦ ɩɪɢ ɫɥɟɞɨɜɚɧɢɢ ɞɜɭɯ ɚɜɬɨɦɨɛɢɥɟɣ ɞɪɭɝ ɡɚ ɞɪɭɝɨɦ ɧɚ ɞɨɫɬɚɬɨɱɧɨ ɛɥɢɡɤɨɦ ɪɚɫɫɬɨɹɧɢɢ ɤɨɝɞɚ ɫɤɚɡɵɜɚɟɬɫɹɢɯ ɜɡɚɢɦɧɨɟ ɜɥɢɹɧɢɟ ɭɫɤɨɪɟɧɢɟ ɡɚɞɧɟɝɨ ɚɜɬɨɦɨɛɢɥɹ ɩɪɹɦɨ ɩɪɨɩɨɪɰɢɨɧɚɥɶɧɨ ɪɚɡɧɨɫɬɢ ɫɤɨɪɨɫɬɟɣ ɩɟɪɟɞɧɟɝɨ ɢ ɡɚɞɧɟɝɨ ɚɜɬɨɦɨɛɢɥɟɣ ɨɬɧɨɫɢɬɟɥɶɧɨɣ ɫɤɨɪɨɫɬɢ Ʉɨɷɮɮɢɰɢɟɧɬ D ɧɚɡɵɜɚɸɬ ɱɭɜɫɬɜɢɬɟɥɶɧɨɫɬɶɸ ɜɨɞɢɬɟɥɹ
ɋɥɟɞɭɟɬ ɨɬɦɟɬɢɬɶ ɱɬɨ ɧɚ ɩɪɚɤɬɢɤɟ ɤɨɷɮɮɢɰɢɟɧɬ D ɧɟ ɹɜɥɹɟɬɫɹ ɩɨɫɬɨɹɧɧɨɣ ɜɟɥɢɱɢɧɨɣ ɚ ɩɪɢɧɢɦɚɟɬ ɦɟɧɶɲɢɟ ɡɧɚɱɟɧɢɹ ɩɪɢ ɩɨɹɜɥɟɧɢɢ ɛɨɥɶɲɢɯ ɜɟɥɢɱɢɧ ɩɪɨɫɬɪɚɧɫɬɜɟɧɧɵɯ ɢɧɬɟɪɜɚɥɨɜ ɩɨ ɨɬɧɨɲɟɧɢɸ ɤ ɚɜɬɨɦɨɛɢɥɸ ɥɢɞɟɪɭ ɢ ɛɨɥɶɲɢɟ ɡɧɚɱɟɧɢɹ ɩɪɢ ɜɵɫɨɤɢɯ ɫɤɨɪɨɫɬɹɯ Ʉɪɨɦɟ ɬɨɝɨ ɱɭɜɫɬɜɢɬɟɥɶɧɨɫɬɶ ɡɚɜɢɫɢɬ ɨɬ ɫɤɨɪɨɫɬɢ ɚɜɬɨɦɨɛɢɥɹ ɱɟɦ ɫɤɨɪɨɫɬɶ ɞɜɢɠɟɧɢɹ ɜɵɲɟ ɬɟɦ ɱɭɜɫɬɜɢɬɟɥɶɧɨɫɬɶ ɬɚɤɠɟ ɫɬɚɧɨɜɢɬɫɹ ɜɵɲɟ ɋ ɷɬɨɣ ɬɨɱɤɢ ɡɪɟɧɢɹ ɩɪɟɨɛɪɚɡɭɟɦ ɭɪɚɜɧɟɧɢɟ 45 ɤ ɜɢɞɭ
dvn t t p |
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ɋɨɨɬɧɨɲɟɧɢɟ 45 ɹɜɥɹɟɬɫɹ ɜɬɨɪɵɦ ɭɪɚɜɧɟɧɢɟɦ ɬɟɨɪɢɢ ©ɫɥɟɞɨɜɚɧɢɹ ɡɚ ɥɢɞɟɪɨɦª ɧɟɥɢɧɟɣɧɚɹ ɬɟɨɪɢɹ ©ɫɥɟɞɨɜɚɧɢɹɡɚ ɥɢɞɟɪɨɦª ɢ ɮɨɪɦɭɥɢɪɭɟɬɫɹ ɫɥɟɞɭɸɳɢɦ ɨɛɪɚɡɨɦ ©ɭɫɤɨɪɟɧɢɟ ɡɚɞɧɟɝɨ ɚɜɬɨɦɨɛɢɥɹ ɩɪɹɦɨ ɩɪɨɩɨɪɰɢɨɧɚɥɶɧɨ ɪɚɡɧɨɫɬɢ ɫɤɨɪɨɫɬɟɣ ɩɟɪɟɞɧɟɝɨ ɢ ɡɚɞɧɟɝɨ ɚɜɬɨɦɨɛɢɥɹ ɢ ɨɛɪɚɬɧɨ ɩɪɨɩɨɪɰɢɨɧɚɥɶɧɨ ɪɚɫɫɬɨɹɧɢɸ ɦɟɠɞɭ ɧɢɦɢª
ɇɚ ɨɫɧɨɜɚɧɢɢ ɫɨɨɬɧɨɲɟɧɢɣ 45 ɢ 46 ɡɚɩɢɲɟɦ ɨɛɨɛɳɟɧɧɨɟ ɭɪɚɜɧɟɧɢɟ ɬɟɨɪɢɢ ©ɫɥɟɞɨɜɚɧɢɹ ɡɚ ɥɢɞɟɪɨɦª
28
dvn t t p |
a vn t t p m |
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(1.47) |
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ɝɞɟ ɚ – ɩɨɫɬɨɹɧɧɚɹ P N – ɩɨɤɚɡɚɬɟɥɢ ɫɬɟɩɟɧɢ ȼ ɩɪɨɫɬɟɣɲɟɦ ɫɥɭɱɚɟ P N ɫɨɨɬɧɨɲɟɧɢɟ 47 ɩɪɢɦɟɬ ɜɢɞ
dvn t t p |
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ɉɪɨɢɧɬɟɝɪɢɪɭɟɦ ɭɪɚɜɧɟɧɢɟ 48 ɩɭɬɟɦ ɜɵɩɨɥɧɟɧɢɹ ɪɚɡɞɟɥɟɧɢɹ ɩɟɪɟɦɟɧɧɵɯ ɢ ɜɵɩɨɥɧɟɧɢɹ ɫɥɟɞɭɸɳɢɯ ɩɪɟɨɛɪɚɡɨɜɚɧɢɣ
dvn t t p
dvn t t p a
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(1.49)
(1.50)
dvn t t p |
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dxn 1 |
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ɉɨɫɥɟ ɢɧɬɟɝɪɢɪɨɜɚɧɢɹ 51 ɩɨɥɭɱɢɦ |
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vn t t p |
C |
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ɝɞɟ ɋ – ɩɨɫɬɨɹɧɧɚɹ ɢɧɬɟɝɪɢɪɨɜɚɧɢɹ Ⱦɚɥɶɧɟɣɲɟɟ ɩɪɟɨɛɪɚɡɨɜɚɧɢɟ 52 ɞɚɫɬ ɧɚɦ ɫɥɟɞɭɸɳɭɸ
ɡɚɜɢɫɢɦɨɫɬɶ
vn t t p a ln>C xn 1 t xn t @ |
. |
(1.53) |
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Ʉɨɝɞɚ Ɍɉ ɹɜɥɹɟɬɫɹ ɫɬɚɰɢɨɧɚɪɧɵɦ ɬɨ ɩɥɨɬɧɨɫɬɶ T ɜɵɪɚɠɚɟɬɫɹ ɫɥɟɞɭɸɳɢɦ ɫɨɨɬɧɨɲɟɧɢɟɦ
29
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ɍɱɢɬɵɜɚɹ 54 ɢ ɬɨ ɱɬɨ ɫɤɨɪɨɫɬɶ Y ɜ ɫɬɚɰɢɨɧɚɪɧɨɦ ɪɟɠɢɦɟ ɩɨɫɬɨɹɧɧɚ ɬɨ ɩɨɥɭɱɢɦ
ª |
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(1.55) |
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ȼɵɪɚɠɟɧɢɟ 55 ɢɞɟɧɬɢɱɧɨ ɭɪɚɜɧɟɧɢɸ 22 ɢ ɦɵ ɢɡ ɦɢɤɪɨɫɤɨɩɢɱɟɫɤɨɣ ɦɨɞɟɥɢ ©ɫɥɟɞɨɜɚɧɢɹ ɡɚ ɥɢɞɟɪɨɦª ɩɨɥɭɱɚɟɦ ɦɚɤɪɨɫɤɨɩɢɱɟɫɤɭɸ ɦɨɞɟɥɶ Ƚɪɢɧɛɟɪɝɚ
Ɉɫɧɨɜɧɵɟ ɜɵɜɨɞɵ ɢ ɨɛɳɚɹ ɨɰɟɧɤɚ ɞɟɬɟɪɦɢɧɢɪɨɜɚɧɧɵɯ ɦɨɞɟɥɟɣ
Ɍɉ
ɍɫɥɨɜɢɹ ɝɢɞɪɨɞɢɧɚɦɢɱɟɫɤɨɣ ɬɟɨɪɢɢ ɩɪɟɞɩɨɥɚɝɚɸɬ ɫɭɳɟɫɬɜɨɜɚɧɢɟ ɨɞɧɨɪɨɞɧɨɝɨ Ɍɉ ɫɨɫɬɨɹɳɟɝɨ ɢɡ ɚɜɬɨɦɨɛɢɥɟɣ ɨɞɧɨɝɨ ɬɢɩɚ Ɉɞɧɚɤɨ ɧɚ ɩɪɚɤɬɢɤɟ ɬɚɤɢɟ ɩɨɬɨɤɢ ɧɚɛɥɸɞɚɸɬɫɹ ɪɟɞɤɨ ɋ ɩɪɚɤɬɢɱɟɫɤɨɣ ɬɨɱɤɢ ɡɪɟɧɢɹ ɧɚɢɛɨɥɟɟ ɪɟɚɥɶɧɨɣ ɹɜɥɹɟɬɫɹ ɌɋɅ ɤɨɬɨɪɚɹ ɨɩɢɫɵɜɚɟɬ ɜɡɚɢɦɨɞɟɣɫɬɜɢɟ ɦɟɠɞɭ ɚɜɬɨɦɨɛɢɥɹɦɢ ɢ ɭɱɢɬɵɜɚɟɬ ɩɫɢɯɨɮɢɡɢɨɥɨɝɢɱɟɫɤɢɟ ɨɫɨɛɟɧɧɨɫɬɢ ɜɨɞɢɬɟɥɟɣ
ɇɟɫɦɨɬɪɹ ɧɚ ɪɚɡɥɢɱɧɵɟ ɧɚɱɚɥɶɧɵɟ ɦɨɞɟɥɢ ɜɫɟ ɞɟɬɟɪɦɢɧɢɪɨɜɚɧɧɵɟ ɞɢɧɚɦɢɱɟɫɤɢɟ ɬɟɨɪɢɢ ɬɟɫɧɨ ɫɜɹɡɚɧɵ ɦɟɠɞɭ ɫɨɛɨɣ Ɍɟɨɪɟɬɢɱɟɫɤɢɟ ɢɫɫɥɟɞɨɜɚɧɢɹ ɩɨɤɚɡɵɜɚɸɬ ɱɬɨ ɪɟɲɟɧɢɟ ɭɪɚɜɧɟɧɢɣ ɌɋɅ ɩɪɢɜɨɞɢɬ ɤ ɤɨɧɟɱɧɨɦɭ ɭɪɚɜɧɟɧɢɸ ɝɢɞɪɨɞɢɧɚɦɢɱɟɫɤɨɣ ɬɟɨɪɢɢ Ʉɪɨɦɟ ɬɨɝɨ ɫ ɩɨɦɨɳɶɸ ɤɚɠɞɨɣ ɢɡ ɞɟɬɟɪɦɢɧɢɪɨɜɚɧɧɵɯ ɬɟɨɪɢɣ ɦɨɠɧɨ ɩɨɫɬɪɨɢɬɶ ɨɫɧɨɜɧɭɸ ɞɢɚɝɪɚɦɦɭ ɞɜɢɠɟɧɢɹ Ɍɉ ©ɢɧɬɟɧɫɢɜɧɨɫɬɶɩɥɨɬɧɨɫɬɶª ɪɢɫ ɜ ɤɨɬɨɪɨɣ ɫɜɹɡɚɧɵ ɦɟɠɞɭ ɫɨɛɨɣ ɯɚɪɚɤɬɟɪɢɫɬɢɤɢ ɞɜɢɠɟɧɢɹ Ɍɉ
ɉɨ ɞɢɚɝɪɚɦɦɟ ©1-Tª ɦɨɠɧɨ ɨɩɪɟɞɟɥɢɬɶ ɜɫɟ ɯɚɪɚɤɬɟɪɢɫɬɢɤɢ ɞɜɢɠɟɧɢɹ Ɍɉ ɫɤɨɪɨɫɬɶ ɩɥɨɬɧɨɫɬɶ ɢɧɬɟɧɫɢɜɧɨɫɬɶ ɫɤɨɪɨɫɬɶ ɪɚɫɩɪɨɫɬɪɚɧɟɧɢɹ ɭɞɚɪɧɨɣ ɜɨɥɧɵ ɢ ɬ ɩ
ɑɚɫɬɶ ɤɪɢɜɨɣ ɪɚɫɩɨɥɨɠɟɧɧɚɹ ɫɥɟɜɚ ɨɬ ɥɢɧɢɢ ɫɨɨɬɜɟɬɫɬɜɭɟɬ ɧɨɪɦɚɥɶɧɵɦ ɭɫɥɨɜɢɹɦ ɞɜɢɠɟɧɢɹ ɛɟɡ ɨɛɪɚɡɨɜɚɧɢɹ ɡɚɬɨɪɨɜ ɩɪɚɜɚɹ ɱɚɫɬɶ ɤɪɢɜɨɣ – ɞɜɢɠɟɧɢɸ ɚɜɬɨɦɨɛɢɥɟɣ ɩɪɢ ɜɨɡɧɢɤɧɨɜɟɧɢɢ ɡɚɬɨɪɨɜ