Page 265 - index
P. 265
G Aj Qj G qj Qj G Aj . (158)
Gqj
ɋɨɧɞɵԕɬɚɧ ɠԛɣɟɝɟ ɬԛɫɿɪɿɥɝɟɧ ɛɚɪɥɵԕ ɛɟɥɫɟɧɞɿ ɤԛɲɬɟɪɞɿԙ, ɛɿɪ ԑɚɧɚ
ɠɚɥɩɵɥɚɧԑɚɧ ɤɨɨɪɞɢɧɚɬ ԧɡɝɟɪɝɟɧɞɟɝɿ ɜɢɪɬɭɚɥɞɵ ɠԝɦɵɫɵɧɵԙ, ɨɫɵ
ɤɨɨɪɞɢɧɚɬɬɵԙ ɜɚɪɢɚɰɢɹɫɵɧɚ ԕɚɬɵɧɚɫɵ – ɠɚɥɩɵɥɚɧԑɚɧ ɤԛɲ (ɫɤɚɥɹɪ ɲɚɦɚ)
ɛɨɥɵɩ ɬɚɛɵɥɚɞɵ.
§4. Ɇɟɯɚɧɢɤɚɥɵԕ ɠԛɣɟ ԕɨɡԑɚɥɵɫɵɧɵԙ ɠɚɥɩɵɥɚɧԑɚɧ ɤɨɨɪ-
ɞɢɧɚɬɬɚɪɞɚԑɵ ɞɢɮɮɟɪɟɧɰɢɚɥɞɵԕ ɬɟԙɞɟɭɿ
ȿɪɤɿɧɞɿɤ ɞԥɪɟɠɟɫɿ k , ԧɡɿ n ɧԛɤɬɟɥɟɪɞɟɧ ɬԝɪɚɬɵɧ, ɝɨɥɨɧɨɦɞɵ
ɫɬɚɰɢɨɧɚɪɥɵ ɢɞɟɚɥ ɛɚɣɥɚɧɵɫɬɚɪɵ ɛɚɪ ɠԛɣɟɧɿԙ ɠɚɥɩɵɥɚɧԑɚɧ ɤɨɨɪɞɢɧɚɬɬɚɪɵ
q1, q2,...,qk ɛɨɥɫɵɧ. Ԕɚɪɚɫɬɵɪɵɥɵɩ ɨɬɵɪԑɚɧ ɠɚԑɞɚɣ ԛɲɿɧ ɞɢɧɚɦɢɤɚɧɵԙ ɠɚɥɩɵ
ɬɟԙɞɟɭɿ (152ɚ):
no oo
¦ (Fs ms ws )G rs 0 .
s1
Ɉɫɵ ɬɟԙɞɟɭɝɟ 154-ɮɨɪɦɭɥɚɞɚɧ G rs ɲɚɦɚɫɵɧɵԙ ɦԥɧɿɧ ԕɨɹɦɵɡ. ɋɨɧɞɚ:
oo o
¦ ¦ ¦nw rs n w rs n w rs
o wq1 Gq1 s1 o wq2 s1 o wqk Gqk
s1
Fs Fs Gq2 ... Fs
oo o
n w rs n w rs n w rs
¦ ¦ ¦s1 o wq1 s1 o wq2 s1 o wqk 0.
ms Gq1 ms Gq2 ... ms Gqk
ws ws ws
Ⱥɥɵɧԑɚɧ ɬɟԙɞɟɭɝɟ 155-ɮɨɪɦɭɥɚ ɚɪԕɵɥɵ ɛɟɥɫɟɧɞɿ ɤԛɲɬɟɪɞɿ ɟɧɝɿɡɫɟɤ
¨§Q1 n ms o o ¸¸·¹¸Gq1 ¨§ Q2 n o o ·¸¹¸¸Gq2 ... ¨§ Qk n o o ¸¸·¹¸Gqk 0
s1 ©¨¨ ¨©¨
¦ ¦ ¦¨©¨ ws w rs ms ws w rs ms ws w rs
wq1 wq2 wqk
s1 s1
.
ȿɧɞɿ ɞɢɧɚɦɢɤɚɧɵԙ ɠɚɥɩɵ ɬɟԙɞɟɭɿɧ ɠԛɣɟɧɿԙ ɤɢɧɟɬɢɤɚɥɵԕ ɷɧɟɪɝɢɹɫɵ
o §¨ ·¸
n w rs d ¨©¨ wT ¸¹¸ wT
¦ɚɪԕɵɥɵ ԧɪɧɟɤɬɟɣɿɤ. Ɉɥ ԛɲɿɧ s1 ms o wq j dt wq j j 1,2,..., k ,
x
ws
wqj
ɟɤɟɧɿɧ ɤԧɪɫɟɬɟɣɿɤ. Ȼԝɥ ɠɟɪɞɟɝɿ Ɍ – ɠԛɣɟɧɿԙ ɤɢɧɟɬɢɤɚɥɵԕ ɷɧɟɪɝɢɹɫɵ:
1 n o oo o
¦T 2 s1 ms v 2 v 2 v 2 ).
s ( vs vs s
o
Ɉɫɵɞɚɧ ɤɟɣɿɧ rs ɲɚɦɚɫɵɧ ɭɚԕɵɬ ɛɨɣɵɧɲɚ ɞɢɮɮɟɪɟɧɰɢɹɥɞɚɫɚԕ
oo o o
w rs w rs w rs w rs
wt wq1 x wq2 x wqk x o (159)
q1 q2 ... qk vs .
263