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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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