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P. 187

ɠԥɧɟ  X2    ht  .   Ȼԝɥ     ɤɟɡɞɟ   1 d cos(kt  G ) d 1 ɛɨɥԑɚɧɞɵԕɬɚɧ, 52-
             2k

ɮɨɪɦɭɥɚɧɵΝ ɧɟɝɿɡɿɧɞɟ, ɪɟɡɨɧɚɧɫ ɤɟɡɿɧɞɟɝɿ ɚɦɚɥɫɵɡ ɬɟɪɛɟɥɿɫɬɿԙ ɝɪɚɮɢɝɿ,
ɬԝɪԑɵɡɵɥԑɚɧ ɟɤɿ ɬԛɡɭɥɟɪɞɿԙ ɚɪɚɫɵɧɞɚ ɠɚɬɚɞɵ, ɹԑɧɢ:

                                     13-ɫɭɪɟɬ

                                        X 2 d x2 d X1.
§5. ɇԛɤɬɟɧɿԙ ɟɪɿɤɫɿɡ ɬɟɪɛɟɥɿɫɬɟɪɿ ɤɟɡɿɧɞɟɝɿ ɤɟɞɟɪɝɿɥɟɪɞɿ ɟɫɤɟɪɭ
ɇԛɤɬɟɧɿԙ ɟɪɿɤɫɿɡ ɬɟɪɛɟɥɿɫɬɟɪɿ ɤɟɡɿɧɞɟɝɿ ɤɟɞɟɪɝɿɥɟɪɞɿԙ ɛɿɪ ɬԛɪɿɧ ԑɚɧɚ, ɚɬɚɩ
ɚɣɬԕɚɧɞɚ, ɠɵɥɞɚɦɞɵԕɬɚɧ ɫɵɡɵԕɬɵԕ ɬԥɭɟɥɞɿɥɿɤɬɟɝɿ ɤɟɞɟɪɝɿɧɿ ɟɫɤɟɪɟɦɿɡ.
Ɇɵɫɚɥɵ, Ox ɨɫɿɦɟɧ ԕɨɡԑɚɥɵɩ ɤɟɥɟ ɠɚɬԕɚɧ ɦɚɬɟɪɢɚɥɵ ɧԛɤɬɟɝɟ ԛɲ ɤԛɲ:

ɫɵɡɵԕɬɵԕ ԕɚɥɩɵɧɚ ɤɟɥɬɿɪɭɲɿ ɤԛɲ, ɧԛɤɬɟɧɿԙ ɠɵɥɞɚɦɞɵԑɵɧɚ ɬԥɭɟɥɞɿ ɤɟɞɟɪɝɿ
ɤԛɲɿ ɠԥɧɟ ɝɚɪɦɨɧɢɤɚɥɵԕ ɚɭɵɬԕɵɲɬɵԕ ɤԛɲɿ (14-ɫɭɪɟɬ) ԥɫɟɪ ɟɬɫɿɧ. Ȼԝɥ
ɤɟɡɞɟɝɿ, ɧԛɤɬɟ ԕɨɡԑɚɥɵɫɵɧɵԙ ɞɢɮɮɟɪɟɧɰɢɚɥɞɵԕ ɬɟԙɞɟɭɿ:

                         xx x                                        (56)

                     m x cx  b x H sin( pt  G ) ,

                                     14-ɫɭɪɟɬ

                                                           x

Ɏɨɪɦɭɥɚɞɚԑɵ: (cx) , (b x) , H sin( pt  G ) - ɤԧɪɫɟɬɿɥɝɟɧ ԛɲ ɤԛɲɬɿԙ Ox

ɨɫɿɧɟ ɩɪɨɟɤɰɢɹɥɚɪɵ.
   Ⱦɢɮɮɟɪɟɧɰɢɚɥɞɵԕ ɬɟԙɞɟɭɞɿ ɛɚɫԕɚɲɚ ԧɪɧɟɤɬɟɩ ɠɚɡɚɣɵԕ:

                             xx  2n  x   k  2  x  h sin( pt  G ) ,  (57)

                             x      x

ɛԝɥ ɬɟԙɞɟɭɞɟɝɿ: k 2  c , 2n  b      ɠԥɧɟ       h  H.
                     m       m                    m

ɋɨԙԑɵ ɬɟԙɞɟɭɞɿԙ (57) ɠɚɥɩɵ ɲɟɲɭɿ:

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