Введение в Delphi. Рудалев В.Г - 31 стр.

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ВГУ | Воронеж

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31
()
2
3
)
2
&7
(
4
1
)
2
&7
cos(
2UT
j&G
⋅−
⋅= .
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()
).&8H[Sj&G −=
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F_lh^bq_kdb_ mdZaZgby: ihkdhevdm ki_dljZevgZy iehlghklv G(jω) _klv
^_ckl\bl_evgZy nmgdpby qZklhlu lh bfimevk hibku\Z_lky q_lghc nmgdpb_c
\j_f_gb<p_eyokZfhijh\_jdbijb\h^bf__\ujZ`_gb_:
.
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22
+=
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bfimevkZ
.
)texp(u(t)
22
−= Ihkljhblv lZd`_ \j_f_ggmx ^bZ]jZffm bfimevkZ
u(t).
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&
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4
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exp(
j&G
2
2
−⋅=
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7
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d&
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.
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gZef(t) bihkljhblv_]h\j_f_ggmx^bZ]jZffm: 
                                        31

                                                     &7B
                                               cos(        )
                                 G (j&) =
                                          2UTB          2
                                               ⋅                .
                                            Œ 1 − 4 ⋅ ( &7B ) 2
                                                  Œ3     2
      Ki_dljZevgZyiehlghklvbfimevkZu(t)bf__l\b^: G (j&) = Œ8H[S − & ).
GZclbbfimevku(t)bihkljhblv_]h\j_f_ggmx^bZ]jZffm
      F_lh^bq_kdb_ mdZaZgby: ihkdhevdm ki_dljZevgZy iehlghklv G(jω) _klv
^_ckl\bl_evgZy nmgdpby qZklhlu lh bfimevk hibku\Z_lky q_lghc nmgdpb_c
\j_f_gb<p_eyokZfhijh\_jdbijb\h^bf__\ujZ`_gb_: u(t) = 8  2 + t 2 ).
       GZclb b ihkljhblv aZ\bkbfhklv hl qZklhlu ki_dljZevghc iehlghklb
bfimevkZ u(t) = exp(− 2 t 2 ). Ihkljhblv lZd`_ \j_f_ggmx ^bZ]jZffm bfimevkZ
u(t).
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iehlghklb hl qZklhlu m^h[gh hldeZ^u\Zlv ih hkb Z[kpbkk \_ebqbgm &   <
p_eyokZfhijh\_jdbijb\h^bf\ujZ`_gb_ki_dljZevghciehlghklb–
                                      Œ
                            G (j&) =    ⋅ exp(− &
                                                  2
                                                         ).
                                                   4 2
      Bfimevkgh_dhe_[Zgb_aZ^Zghnhjfmehc u(t) = 15 ⋅ exp(−107 t) ⋅1(t), ]^_
1(t) –nmgdpbyO_\bkZc^Z nmgdpby\dexq_gby rbjhdhbkihevam_fZy\l_hjbb
Z\lhfZlbq_kdh]hj_]mebjh\ZgbyHij_^_eblv]jZgbqgmxqZklhlm f ]j  \]_jpZo 
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imevkZbf__l\b^
                                                225
                                    W(&) = 14            .
                                             10 + & 2
      M]eh\Zy ]jZgbqgZy qZklhlZ &]j  baf_jy_fZy \ jZ^bZgZo \ k_dmg^mm^h\
e_l\hjy_lmjZ\g_gbx
                             &]j                    ∞
                                    d&                    d&
                              ∫             = 0,9 ⋅ ∫ 14         ,
                              0  1014
                                      + & 2
                                                    0 10   + & 2

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                            &
^bfdjm]h\mxqZklhlm f ]j = ]j 2Π.

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gZef(t) bihkljhblv_]h\j_f_ggmx^bZ]jZffm:

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