Page 566 - index

EJ x ˜ y // M z . (10.1)

Ԕɢɦɚɥɚɪ ɬԥɫɿɥɿ ɛɨɣɵɧɲɚ, ɤɨɨɪɞɢɧɚɬɚ ɛɚɫɵɧɚɧ z ԕɚɲɵԕɬɵԕɬɚ ɬɿɥɿɤ
ɠԛɪɝɿɡɿɩ, ɫɵɪɵԕɬɵԙ ɨԙ ɠɚԕ ɛԧɥɿɝɿɧ ɚɥɵɩ ɬɚɫɬɚɩ, ԕɚɥԑɚɧ ɛԧɥɿɤɬɿԙ ɫɬɚɬɢɤɚɥɵԕ
ɬɟɩɟ-ɬɟԙɞɿɝɿɧ ԕɚɪɚɫɬɵɪɚɦɵɡ (123 Ω-ɫɭɪɟɬ). Ɉɞɚɧ:

M (z) P ˜ y ɧɟɦɟɫɟ EJ x ˜ y // P ˜ y .

Ɍɟԙɞɿɤɬɿԙ ɨԙ ɠɚԑɵɧɞɚԑɵ P ˜ y ɲɚɦɚɫɵɧ ɬɟԙɞɿɤɬɿԙ ɫɨɥ ɠɚԑɵɧɚ ԧɬɤɿɡɿɩ,

ԕɚɬɚԙɞɵԕԕɚ ɛԧɥɝɟɧɧɟɧ ɤɟɣɿɧ:

y // P k2, P k2. (10.2)
EJ x EJ x

ɋɨɧɞɚ:

y // k 2 ˜ y 0 . (10.3)

Ȼԝɥ ɬɟԙɞɟɭɞɿԙ ɲɟɲɭɿ:

y C1 ˜ Sinkz C2 ˜ Coskz . (10.4)

ɋ1 ɠԥɧɟ ɋ2 ɬԝɪɚԕɬɵɥɚɪɵ ɲɟɤɚɪɚɥɵԕ ɲɚɪɬɬɚɪɞɚɧ ɬɚɛɵɥɚɞɵ. ɒɟɤɚɪɚɥɵԕ
ɲɚɪɬɬɚɪ ɛɟɪɿɥɝɟɧ ɠԛɣɟɧɿԙ ԕԝɪɵɥɵɦɵɧɚ ɛɚɣɥɚɧɵɫɬɵ ɬԝɠɵɪɵɦɞɚɥɚɞɵ. Ȼɿɡ
ԕɚɪɚɫɬɵɪɵɩ ɨɬɵɪԑɚɧ ɠԛɣɟ ԛɲɿɧ ɟɤɿ ɲɟɤɚɪɚɥɵԕ ɲɚɪɬ ɬԝɠɵɪɵɦɞɚɭԑɚ ɛɨɥɚɞɵ.
Ɇɵɫɚɥɵ, ɬɿɪɟɤɬɟɪ ɨɪɧɚɥɚɫԕɚɧ ԕɢɦɚɥɚɪ ɭ ɨɫɿɦɟɧ ɟɲԕɚɣɞɚ ɞɚ ɨɪɵɧ
ɚɭɵɫɬɵɪɦɚɣɞɵ, ɹԑɧɢ:
– ɟɝɟɪ z =0 ɛɨɥɫɚ, ɨɧɞɚ ɭ = 0;
– ɟɝɟɪ z = " ɛɨɥɫɚ, ɨɧɞɚ ɞɚ y = 0.

Ɍɟԙɞɟɭɝɟ ɛɿɪɿɧɲɿ ɲɚɪɬɬɵ ԕɨɣɵɩ, ɋ2 =0 ɟɤɟɧɿɧɟ ɤԧɡɿɦɿɡɞɿ ɠɟɬɤɿɡɟɦɿɡ.
ȿɤɿɧɲɿ ɲɚɪɬɬɵ ԕɨɣԑɚɧɞɚ,

C1 ˜ Sink" 0 . (10.5)

Ȼԝɥ ɬɟԙɞɟɭɞɿԙ ɟɤɿ ɲɟɲɿɦɿ ɛɚɪ:
1) ɋ1=0 ɧɟɦɟɫɟ
2) Sin k " =0.

ȿɝɟɪ ɛɿɪɿɧɲɿ ɲɟɲɿɦɞɿ ԕɚɛɵɥɞɚɫɚԕ, ɨɧɞɚ ɋ2=0 ɠԥɧɟ ɋ1=0, ɞɟɦɟɤ,
ԕɚɪɚɫɬɵɪɵɥɵɩ ɨɬɵɪԑɚɧ ɫɵɪɵԕ ԥɥɿ ɢɿɥɝɟɧ ɠɨԕ ɞɟɝɟɧ ɫԧɡ. ɋɨɧɞɵԕɬɚɧ ɛԝɥ
ɲɟɲɿɦ ɟɫɟɩɬɿԙ ɛɟɪɿɥɭ ɲɚɪɬɵɧɚ ԕɚɣɲɵ ɤɟɥɟɞɿ.
ȿɤɿɧɲɿ ɲɟɲɿɦ ɛɨɣɵɧɲɚ k" Sn , n – ɤɟɡ ɤɟɥɝɟɧ ɛԛɬɿɧ ɫɚɧ. Ȼԝɞɚɧ ɤ

ɲɚɦɚɫɵɧɵԙ ɤɜɚɞɪɚɬɵɧ ɬɚɩɫɚԕ – k 2 S 2 ˜n2 .
"2
Ɇԝɧɵ ɟɤɿɧɲɿ ԧɪɧɟɤɤɟ ԕɨɹɦɵɡ:

P n2 ˜S 2 EJ x . (10.6)
"2
Ⱦɚԑɞɚɪɵɫ ɤԛɲɿɧiԙ ɚɧɵԕɬɚɦɚɫɵ ɛɨɣɵɧɲɚ, n=1 ɛɨɥɭɵ ɤɟɪɟɤ ɠԥɧɟ
ɨɪɧɵԕɬɵɥɵԕ ɠɨԑɚɥɚɬɵɧ ɨɫɶɬɟɝɿ ɢɧɟɪɰɢɹ ɦɨɦɟɧɬɿ ɚɡ ɛɨɥɚɬɵɧɵɧ ɟɫɤɟɪɿɩ,
Jx=Jmin ɞɟɩ ԕɚɛɵɥɞɚɣɦɵɡ. ɋɨɧɞɚ:

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