Page 183 - index

x1– ɫԥɣɤɟɫ ɬɟԙɞɟɭɞɿԙ ɠɚɥɩɵ ɲɟɲɿɦɿ;

x2 – ɫԥɣɤɟɫ ɬɟԙɞɟɭɞɿԙ ɞɟɪɛɟɫ ɲɟɲɿɦɿ.

Ȼɿɪɬɟɤɬɿ xx k 2 x 0 ɬɟԙɞɟɭɿɧɿԙ ɲɟɲɿɦɿ ɛɿɡɝɟ ɛɟɥɝɿɥɿ (14- ɧɟɦɟɫɟ 16-

x

ɮɨɪɦɭɥɚɥɚɪ).
Ⱦɟɪɛɟɫ ɲɟɲɿɦɧɿԙ ɟɤɿ ɬԛɪɿɧ ԕɚɪɚɫɬɵɪɚɦɵɡ.

1. p z k . Ȼԝɥ ɠɚԑɞɚɣɞɚ, ɞɟɪɛɟɫ ɲɟɲɿɦ 38-ɬɟΝɞɟɭɞɿΝ ɨԙ ɠɚԑɵɧɵԙ ɬԛɪɿɧɞɟ

ɬɚɛɵɥɚɞɵ, ɹԑɧɢ: (ɚ)
x2 B* sin( pt G ) .

B* – ɬԝɪɚԕɬɵ ɲɚɦɚ, ɨɧɵ ɚɧɵԕɬɚɭ ɤɟɪɟɤ.
Ⱦɟɪɛɟɫ ɲɟɲɿɦɧɿԙ ɟɤɿɧɲɿ ɬɭɵɧɞɵɫɵ:

xx B* p 2 sin( pt G ) . (ɛ)

x2

xx

x2 , x 2 ɦԥɧɞɟɪɿɧ 38-ɮɨɪɦɭɥɚΕɚ ԕɨɣԑɚɧɧɚɧ ɤɟɣɿɧ:
B* p 2 sin( pt G ) k 2 B* sin( pt G ) h sin( pt G ) .

Ⱥɥɵɧԑɚɧ ɬɟԙɞɟɭ ɤɟɡ ɤɟɥɝɟɧ t ԛɲɿɧ ɡɚԙɞɵ ɛɨɥɭ ɤɟɪɟɤ, ɫɨɧɵԙ ɿɲɿɧɞɟ
sin( pt G ) 1 ԧɪɧɟɝɿ ԛɲɿɧ ɞɟ. ɋɨɧɞɵԕɬɚɧ:

B* (k 2 p2 ) h Ÿ B* k 2 h p2 . (40)

x2 k2 h p2 sin( pt G ). (41)

Ȼɿɪɬɟɤɬɿ xx k 2 x 0 ɬɟԙɞɟɭɿɧɿԙ ɲɟɲɿɦɿ (16): x1 a sin(kt D ) .

x

ɋɨɧɵɦɟɧ, ɞɢɮɮɟɪɟɧɰɢɚɥɞɵԕ ɬɟԙɞɟɭɞɿԙ ɠɚɥɩɵ ɲɟɲɿɦɿ:

x x1 x2 a sin(kt D) k2 h p2 sin( pt G ), (42)

ɧɟɦɟɫɟ x1 x2 C1 cos kt C2 sin kt k 2 h p2 sin( pt G ) . (43)
x

Ԕɨɪɵɬɵɧɞɵ: ɟɤɿ ɤΟɲɬɿΝ, ɹΕɧɢ ɫɵɡɵΙɬɵΙ Ιɚɥɩɵɧɚ ɤɟɥɬɿɪɭɲɿ ɤΟɲ ɩɟɧ
ɝɚɪɦɨɧɢɤɚɥɵΙ ɚɭɵɬΙɵɲɬɵΙ ɤΟɲɬɿΝ ( p z k ) Ωɫɟɪɿɧɟɧ ɧΟɤɬɟ ɤΟɪɞɟɥɿ

ɬɟɪɛɟɥɿɫ ΙɨɡΕɚɥɵɫɵɧɞɚ ɛɨɥɚɞɵ (ɤɟɞɟɪɝɿ ɤΟɲɿ ɟɫɤɟɪɿɥɦɟɝɟɧ). ȻΡɥ ΙɨɡΕɚɥɵɫ –
ɟɤɿ ɝɚɪɦɨɧɢɤɚɥɵΙ ΙɨɡΕɚɥɵɫɬɵΝ ɠɢɵɧɵɧɚɧ ɬΡɪɚɞɵ, ɨɥɚɪɞɵΝ ɛΡɪɵɲɬɵΙ
ɠɢɿɥɿɤɬɟɪɿ: k ɠΩɧɟ p .

Ȼɿɪɿɧɲɿ ɬɟɪɛɟɥɿɫɬɟɪɞɿ – x1 a sin(kt D ) – ԥɞɟɬɬɟ, ɦɟɧɲɿɤɬɿ ɬɟɪɛɟɥɿɫɬɟɪ

ɞɟɩ, ɚɥ ɟɤɿɧɲɿ ɬɟɪɛɟɥɿɫɬɟɪɞɿ – x2 k 2 h p2 sin( pt G ) – ɬɚɡɚ ɟɪɿɤɫɿɡ

ɬɟɪɛɟɥɿɫɬɟɪ ɞɟɩ ɚɬɚɣɞɵ.
Ɍɚɡɚ ɟɪɿɤɫɿɡ ɬɟɪɛɟɥɿɫɬɿԙ ɚɦɩɥɢɬɭɞɚɫɵɧɵԙ ɮɨɪɦɭɥɚɫɵ:

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