Page 188 - index
P. 188
x x1 x2 ,
x1 – ɫԥɣɤɟɫ ɛɿɪɬɟɤɬɿ ɬɟԙɞɟɭɞɿԙ ɲɟɲɭɿ;
x2 – ԥɪɬɟɤɬɿ (ɛɿɪɬɟɤɬɿ ɟɦɟɫ) ɬɟԙɞɟɭɞɿԙ ɞɟɪɛɟɫ ɲɟɲɭɿ.
ɋԥɣɤɟɫ ɛɿɪɬɟɤɬɿ ɬɟԙɞɟɭɞɿԙ ɲɟɲɭɿ (28) ɚɡ ɤɟɞɟɪɝɿɥɟɪ ԛɲɿɧ ( n % k ) ɛԝɪɵɧ
ɚɥɵɧԑɚɧ ɛɨɥɚɬɵɧ:
x1 A ent sin(k1t D1 ) ,
ɚɥ ԛɥɤɟɧ ɠԥɧɟ ɞɚԑɞɚɪɵɫ ɤɟɞɟɪɝɿɥɟɪɿ ԛɲɿɧ (36ɚ), (36Ω) ɮɨɪɦɭɥɚɥɚɪɵ ɚɥɵɧԑɚɧ.
Ɍɟԙɞɟɭɞɿԙ ɞɟɪɛɟɫ ɲɟɲɭɿɧ
x2 C1 sin( pt G ) C2 cos( pt G )
ɬԛɪɿɧɞɟ ɿɡɞɟɣɦɿɡ.
C1 , C2 – ɬԝɪɚԕɬɵ ɲɚɦɚɥɚɪ, ɨɥɚɪɞɵ ɬɚɛɭ ɤɟɪɟɤ.
Ⱦɢɮɮɟɪɟɧɰɢɚɥɞɵԕ ɬɟԙɞɟɭɝɟ (57) x2 -ɧɿ, x C1 p cos( pt G ) C2 p sin( pt G )
x2
xx C1 p2 sin( pt G ) C2 p2 cos( pt G ) ɲɚɦɚɥɚɪɵɧ ԕɨɣɵɩ, ɬɟԙɞɟɭɞɿ
ɠԥɧɟ x 2
ɬԛɪɥɟɧɞɿɪɝɟɧɧɟɧ ɤɟɣɿɧ: h sin( pt G ).
> @(k 2 p 2 )C1 2npC2 sin( pt G )
> @ (k 2 p 2 )C2 2npC1 sin( pt G ) u cos( pt G )
Ⱥɥɵɧԑɚɧ ɬɟԙɞɿɤ t -ɧɵԙ ɤɟɡ ɤɟɥɝɟɧ ɲɚɦɚɫɵ ԛɲɿɧ ɞԝɪɵɫ ɛɨɥɚɬɵɧɞɵԕɬɚɧ,
ɚɥɞɵɦɟɧ pt G 0 ɞɟɩ, ɨɞɚɧ ɤɟɣɿɧ pt G S / 2 ɞɟɩ ԕɚɪɚɫɬɵɪɚɦɵɡ. ɋɨɧɞɚ:
C1 (k 2 h(k 2 p2 ) , C2 (k 2 2nph p2 .
p2 ) 4n2 p2 p2 ) 4n2
ɋɨɧɵɦɟɧ, ԕɚɪɚɫɬɵɪɵɩ ɨɬɵɪԑɚɧ ɬɟԙɞɟɭɞɿԙ ɞɟɪɛɟɫ ɲɟɲɿɦɿ:
h
(k 2 p2 ) 4n2 p2
> @x2
(k 2 p 2 ) sin( pt G ) 2np cos( pt G ) . (58)
Ⱥɥɵɧԑɚɧ ɲɟɲɿɦɞɿ ɚɦɩɥɢɬɭɞɚ ɬԛɪɿɧɞɟ ɠɚɡɚɦɵɡ, ɨɥ ԛɲɿɧ ɤɟɣɛɿɪ
ɲɚɦɚɥɚɪɞɵ
k2 p2 cosH , (59)
(k 2 p2 )2 4n2 p2 sin H ,
2np
(k 2 p2 )2 4n2 p2
h B1 (60)
(k 2 p2 )2 4n2 p2
ɬԛɪɿɧɞɟ ԧɪɧɟɤɬɟɩ ɚɥɚɦɵɡ.
57-ɬɟΝɞɟɭɞɿΝ ɚɦɩɥɢɬɭɞɚ ɬԛɪɿɧɞɟɝɿ ɞɟɪɛɟɫ ɲɟɲɿɦɿ:
x2 B1 sin( pt G H ) . (61)
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