Page 190 - index

Ɍɟɪɛɟɥɿɫɬɿԙ ɛɚɫɬɚɩԕɵ ɮɚɡɚɫɵ ɚɭɵɬԕɵɲɬɵԕ ɤԛɲɿɧɿԙ ɮɚɡɚɫɵɧɚ ԕɚɪɚԑɚɧɞɚ H
ɲɚɦɚɫɵɧɚ ɚɭɵɬԕɵԑɚɧ. Ɉɧɵԙ ɮɨɪɦɭɥɚɫɵ 59-ɬɟΝɞɟɭɞɟɧ ɚɥɵɧɚɞɵ

H arctg 2S ˜ p . (64)
k2 p2

ȿɪɿɤɫɿɡ ɬɟɪɛɟɥɿɫɬɿԙ ɚɦɩɥɢɬɭɞɚɫɵɧ ɛɚɫԕɚɲɚ ԧɪɧɟɤɬɟɩ ɠɚɡɚɣɵԕ:

B1 xɫɬ 1, (65)
(1 z 2 )2 4Q 2 z 2

ɛԝɥ ɮɨɪɦɭɥɚɞɚԑɵ:

x H h , (66)
c k2 (67)
(68)
z p ,
k

Q n .
k

ȾɢɧɚɦɢɤɚɥɵΙ ɤΟɲɟɣɬɭ ɤɨɷɮɮɢɰɢɟɧɬɿ ɞɟɩ ɚɬɚɥɚɬɵɧ ԧɥɲɟɦɫɿɡ

ɤɨɷɮɮɢɰɢɟɧɬ

O 1. (69)
(1 z 2 )2 4Q 2 z 2

Ȼԝɥ ɤɨɷɮɮɢɰɢɟɧɬ, ɧԛɤɬɟɝɟ ɬԝɪɚԕɬɵ ɤԛɲ ɇ ԥɫɟɪ ɟɬɤɟɧɞɟ, ɚɦɩɥɢɬɭɞɚ ( ȼ1 )

ɧԛɤɬɟɧɿԙ ɫɬɚɬɢɤɚɥɵԕ ɚɭɵɬԕɭɵɧɚ ( xɫɬ ) ԕɚɪɚԑɚɧɞɚ ɧɟɲɟ ɟɫɟɝɟ ɚɪɬɚɬɵɧɵɧ

ɤԧɪɫɟɬɟɞɿ. ɋɨɧɵɦɟɧ:

ȼ1 O ˜ xɫɬ . (70)

ɋɨԙԑɵ ɮɨɪɦɭɥɚɥɚɪɞɚɧ ɚɦɚɥɫɵɡ ɬɟɪɛɟɥɿɫɬɟɪɞɿԙ ɚɦɩɥɢɬɭɞɚɫɵ

u (1 z 2 )2 4Q 2 z 2 ɬɟԙɞɟɭɿɧɟ ɛɚɣɥɚɧɵɫɬɵ ԧɡɿɧɿԙ ɟԙ ԛɥɤɟɧ ( max ) ɠԥɧɟ ɟԙ

ɤɿɲɿ ( min ) ɲɚɦɚɥɚɪɵɧɚ ɢɟ ɛɨɥɚɬɵɧɵɧ ɤԧɪɟɦɿɡ. Ⱥɦɩɥɢɬɭɞɚɧɵԙ ɟԙ ԛɥɤɟɧ
ɲɚɦɚɫɵɧ ɚɧɵԕɬɚɭ ԛɲɿɧ u -ɞɵ ɷɤɫɬɪɟɦɭɦԑɚ (ɦɚɤɫɢɦɭɦԑɚ ɠԥɧɟ ɦɢɧɢɦɭɦԑɚ)

ɡɟɪɬɬɟɣɿɤ. Ɉɥ ԛɲɿɧ ɛɿɪɿɧɲɿ ɬɭɵɧɞɵɧɵ ɧԧɥɝɟ ɬɟԙɟɫɬɿɪɟɦɿɡ:

> @du z1 0 , z2 1 2Q 2 .

dz
4z z 2 (1 2Q 2 ) 0 Ÿ

ȿɝɟɪ 1 2Q 2 0 ɛɨɥɫɚ, ɫɨɧɞɚ ԑɚɧɚ ɟɤɿɧɲɿ ɬԛɛɿɪ z2 ɬɟԙɞɟɭɞɿԙ ɲɟɲɿɦɿ

ɛɨɥɵɩ ɬɚɛɵɥɚɞɵ.
ɗɤɫɬɪɟɦɭɦɧɵԙ ɫɢɩɚɬɵɧ ɚɧɵԕɬɚɭ ԛɲɿɧ ɟɤɿɧɲɿ ɬɭɵɧɞɵɧɵ ɚɥɚɣɵԕ:

d 2u 12z 2 4(1 2Q 2 ) .
dz 2

Ⱥɥɵɧԑɚɧ ɟɤɿɧɲɿ ɬɭɵɧɞɵɞɚɧ ɤԧɪɿɧɿɩ ɬԝɪԑɚɧɞɚɣ, ɟɝɟɪ 1 2Q 2 0 ɲɚɪɬɵ
ɨɪɵɧɞɚɥɵɩ ɠԥɧɟ z1 0 ɛɨɥɫɚ, ɨɧɞɚ ɟɤɿɧɲɿ ɬɭɵɧɞɵɧɵԙ ɬɚԙɛɚɫɵ ɦɢɧɭɫ (ɫɨɥ)

ɛɨɥɚɞɵ. Ⱥɥ z2 1 2Q 2 ɲɚɪɬɵ ԛɲɿɧ ɟɤɿɧɲɿ ɬɭɵɧɞɵɧɵԙ ɬɚԙɛɚɫɵ ɩɥɸɫ (ɨԙ)

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