

          .
          ~~~~~~~~~~~
                                                              

1. .                                                 2

2.    .                         3

   ⠪ ⮤ ७ 樨.

   ᪮⠪ ⮤ ७ 樨.

3.    .                     9

4.  .                                     12

   ⠢  ⮤   .

   ᪮ ᠭ 㧪.

   ਭ樯 ஥ ணࠬ.

5.  .                                   22

6. .                                              39

7.  .                                       40

 1.   ᫨⥫쭮 .            42

 2.  ணࠬ  ஢ ࠡ

              ⮤    HANN.SAV.             43

 3. ࠢ 짮 ணࠬ HANN.SAV.      55

 4.  ணࠬ  ஢ ࠡ

              ந⥫    VIBRO.SAV.     56



















          .
          ~~~~~~~~~
     ६ 孮 ॡ 뢭  ஫  

  ࠬࠬ  孮᪮       ஫

ﭨ 㤮.     ࠬ

堭᪮     ,          ⭮      ࠬ

ਮ᪨ ६饭 ᫥㥬 ꥪ   ࠭⢥

( 樨  ).  ⨬  ࠬࠬ    ய६饭

( 㤠 樨 )  ᪮ (  樨 ).

      ஫ 室  ᠬ  ࠧ  :  

஢ ஭ (  ஫  樨  ⠭

 騢 ⠫ ),   ஭  (  

⠭  ⮫⮣䨨  ),    設஥  (   

⠭   ⠫  ),    ⮬쭮  ஬諥

(  ஫  樨  ⤥  㧫  ⮬    ᥣ

⮬  楫 ),  ஦ ࠭ᯮ (  稪

ਡ  ),  ࣥ⨪ ( ஫ 樨 ⮪

 ࡨ ),  ஥ ( ஫  ࡨ )  

..    ᯨ᮪    த  筮  ,  

  室 ᮧ ᮪ த稪.

        饥   ६   ࠧࠡ⠭   筮    

த稪, ᭮  ࠧ 䥪  (  .  

2 ).    ᢮ २⢠  ⪨. ஬ ⮣,

 ।  㤭    ⥮᪮  ᠭ

 ஢ ࠡ த稪.

       ࠡ 﫮 ᫥  

ᯮ짮    䥪    ⮤    ⥪஢    

஢    -           

ᮧ ⥫ ࠬ஢  樨    ᮡ⥩  

ࠡ.


           2.    .
          ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

         㯯  ⮤   ७   ࠬ஢

権:  ⠪,  ࠧ㬥騥   堭   

稪   ᫥㥬  ꥪ⮬,    ᪮⠪,  ..  

易  ꥪ⮬ 堭᪮ .

     ᬮਬ 砫 ⠪ ⮤.    묨

    ⮤    ॣ樨    権         

쥧᪨   稪.           ஢

७  ᮪ 筮          

⭮⥫쭮   樨,    ᫥⢨  ᢮

᮪ 樮, ਢ饩   ᪠    ᨣ

  ७ 権 ᮪    

. ஬ ⮣,  ᫨    ᫥㥬  ꥪ,  

᫥⥫쭮   樮  ,   ⠪  稪

 ⢥     ࠪ  樨,    

⥫  訡  ७.

       ⪨    ࠭   ⮤   ⮣

१,  ᠭ    [1].    ⮤  砥   

७ ࠬ஢  १,    ᫥⢨

樨 ᫥㥬 ꥪ.       ઠ,

祬    䨪஢ ,  㣮 堭᪨  易

 ᫥㥬  ꥪ⮬.    ६饭    

㤠  権  ந  㤭   ⮤   

 室 魮  砥 室 奬 祭

१    ࠦ  魮,    砥   ਬ

筮 祭.  ⮤ ७ ॡ ⢠

魮,      १    ᮪  ⠡쭮

 㦤.

       砥        権   ॣ

ᬥ饭  १᭮  ,      ᤥ    祭

᮪ 筮.    襭  ⭮    㬥襭

ࠪ樮  ᯮ ᪨ ઠ.

       ᯮᮡ    ⮤  3  .  ⮤

  樮  ࠢ   ᠭ  ,

      ਬ   ४,   ᫨      ઠ

ਭ樯쭮   ᫥㥬 ꥪ.

      堭᪠  稪  ᫥㥬  ꥪ⮬

  ᥣ ⨬, ⮬  ᫥    ᭮

 㤥 ࠧࠡ⪥ ᪮⠪ ⮤  ७

ࠬ஢  権.  ஬  ⮣,     騬   ⮨⢮

  ⢨  ⢨    ᫥㥬  ꥪ   

७०⥫쭮  樮.

      ᪮⠪ ⮤ ᭮  ஢ ꥪ

㪮묨  ஬묨 .

           ᫥    ࠧࠡ⮪        ⮤

ࠧ㪮 䠧ਨ, ᠭ  [2].   砥  

७ ⥪饣  祭  ࠧ  䠧  ୮  ᨣ

ࠧ㪮   ᨣ, ࠦ   ᫥㥬

ꥪ.    ⢥  ⢨⥫  ⮢  ᯮ

쥧᪠ ࠬ.

          ࠧ㪠   240   .   ⢨⥫쭮

७ ய६饭  10  .        10  

5*10  ., ﭨ    ꥪ    1.5  .     

32   . ⢨⥫쭮 30 ., ﭨ   ꥪ  

2 .  ⮬   饣  ᨣ  ⢨⥫쭮

.

      ⢥ ⮨ ⮤  ⬥  襢  

⭮ ,    ६  ७,  ⢨

࠭祭 ᭨      ,  ᮪  筮

७    権.   ⪠   

ᨫ쭮  堭  ࠧ㪠    ,  ᨬ   

ﭨ ⬮, 㬥襭 筮  ७    ⮬

 樨.

     讥 ࠭ 稫  ⮤,  ᭮  

஢ ꥪ    ᢥ⮬.  ᠭ    ࠢ

᭮ ᪨ ⮤ ਢ  [3].

      ᪨ ⮤ ࠧ      㯯.  

ࢮ ⭮ ⮤,  ᭮    ॣ樨  䥪

. ⥩訬     ⮤, 

    䠧 ମ᪨ 権, 

    ᫥ ମ᪨  訥

  㤥  樨.     ⪨      ࠭

ᯮ த ⮤.    ॡ  ஢  ,

஬  ⮣, ⥫쭠  ᨫ쭮 ᫮.

     ⢥  ⪮  ᫥      ⮤

   ᮪   ॡ           孮

᫥㥬  ꥪ.        ᢮   祭   

ᯮ짮  ᪨  ⮤,      ࠧ

 㯯.

     ᪨  ⮤     ᮪   ࠧ饩

ᯮᮡ (    0.05     ),      ॡ  ᫮  

ண饣 㤮. ஬ ⮣, ६ ७ 祭

.

      騬   ⪠   ᪨   ⮤    

᫮, ஬᪮    ᮪  ⮨  㤮,

讥  ࣮ॡ,  ᮪  ॡ     

孮  ᫥㥬  ꥪ,   ᮪   ॡ   

ﭨ  ⬮  (  ।  ,   ⢨

뫥    ..  ).  ஬  ⮣,   ୮   祭

뢠 । ﭨ  ७  㦨饣  ᮭ

 ॡ ⥫  ।஦  .

       ⪮  ࠭  ਬ  ⮤,

᭮      ᯮ짮      祭   [4].   

ࠧ  ७樮  १.    ᭮

७樮  ⮤    ஢   ᫥㥬

ꥪ     , ਥ   ࠦ

( ﭭ ) ꥪ⮬ .  ⥫   ᫥㥬

ꥪ⮬  १ ७樨 ࠧ   .

 ꥪ ਢ  㤭    䠧  樨

ࠦ    ࠧ ᨣ .  뤥

ᨣ    ६    ⮪    㤠    ய樮쭠

ய६饭,     ᮮ⢥    樨

ꥪ.

       ਠ⮢ ७樮 ⮤ ᠭ  [5].

⠭  ⮨        1     ࠦ⥫쭮

஭  (  .1  ),    㫨  אַ㣮묨
                                                   

      ___      ___      _______        5  6      7 ||
     | 1 |----| 3 |----|   4   |---||---<|         ||
      ~T~      ~~~      ~~~T~~~                    ||
      ___               8  |                      <==>
     | 2 |                 |    ___     ____     ____ 
      ~~~                   ---| 9 |---| 10 |---| 11 |
                                ~~~     ~~~~     ~~~~ 

.  1.   ⠭      ७   ࠬ஢   権
~~~~~~~~
           ७樮 ⮤.


ᠬ, ࠡ뢠묨 ஬ 2, ⨫  窨

ࠦ  3, ⥫쭮  4,  ਥ-।饩

⥭ 5  ᪮  6, ᫥㥬 ꥪ  7,

⠫᪮ ⥪ 8, ᨫ⥫  ६  ⮪  9,

⥪   10  ୮ ன⢠ 11.

      ⠭ ᯥ稢 ᮪ 筮  ७

 ⥫쭮 㤠   ᫥㥬  ꥪ,  

  樮,        ⥬.    

ॡ 筮 ࠤ஢.

      ⮤ ᭮   ࠧ饭  饣

ꥪ    १ (    ,      筮

    ),  ᫥⢨  祣     ࠪ⨪

१.  .2 ਢ 奬  ⥫  権  

 -ࠧ .


                                    ___     ___ 
                                ---| 7 |---| 8 |
                               |    ~~~     ~~~ 
                            6  |
     || 5     3                |                  ___ 
     ||      >---||-------------------------||---| 4 |
     ||                       / 2                 ~~~ 
    <==>                     /
                            /
                          _/_ 
                         | 1 |
                          ~~~ 

. 2.  ⥫  権      -ࠧ  .
~~~~~~~

         1 १  -ࠧ  2

㯠    ਥ-।  ⥭  3    ॣ㫨㥬

㧪 4. ࠧ    ᫥㥬  ꥪ  5,  ᨣ

१  -ࠧ    㯠    ⠫᪨

⥪  6,        ६   室   ᨣ,

ࠦ    ᮣᮢ   㧪.   த⥪஢

ᨣ  ᨫ  ᨫ⥫  7  ᫥  祣  㯠  

୮ ன⢮ 8.  ᬥ饭 ᫥㥬 ꥪ

뢠 ࠧ  -ࠧ ,  ਢ  

  ᨣ    ୮  ன⢥.  쭮

ॣ㥬 ய६饭    ᮡ⢥  㬮

,    魮     ⠡쭮,      ⠪   

堭᪮ ⠡쭮 ன⢠.

    ᪮⠪⭮ ७ ࠬ஢ 権  १

⮤    祭 ਥ-।饩 ⥭  

⭮  楯    ,  ..    ࠡ  

⮣୮ ०.  ⥬ 뢠  ⮤묨

ࠬ   ⮤.

      [5] ਢ ਬ ⮤ ⥫ 権  

ࠦ⥫쭮   ஭   (   .3   ).      ⮨   

             o -
             |
          |~~|~~|  1
          | ~~~ |
       +  |     |
       o--+-O-O |
          | | --+--------------> U
          |_|___|      
            |          || R
      ___   | 3                     ___      5 ||
     | 2 |--------------------||---| 4 |<      ||
      ~~~                           ~~~        ||
                                              <==>
         
.  3.  ⮤  ⥫  権     ࠦ⥫쭮
~~~~~~~~
          ஭.


ࠦ⥫쭮   ஭   1,       ⥬    3,

⪮몠饣    2,  ᪮  ⥭  4  

᫥㥬 ꥪ 5. ᫥⢨ 樨 ꥪ 

० 樨,  饭 ﭭ ⠢饩

⮪  楯 १ ஭,   १ R  

饭 殮.

       ᯮᮡ    ⠭    1   .

⮪ 砥  ⮬,    ஭  ॡ  

  殮,    ਢ    㢥祭   ࠧ஢

    讬  ࣮ॡ.    ⮣   

,  ᫨    ⢥         ᯮ짮

⢥म⥫   ( , , ,   .. ).





          3.    .
          ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

      㯮 ,  ஢    

  冷  ⮨  [6,7].  ᭮묨   ⮨⢠

      ࠧ            ࣮ॡ.

ࠢ⥫ ࠪ⨪ ஢  ஢

ਢ  ⠡ 1.

______________________________________________________________
|----------+----------+----------+----------+----------------|
|      | 魮 |       | ᬥ饭 |            |
|----------+----------+----------+----------+----------------|
|       |  12 .|  15 %  |  ⪨ | ᨫ    |
|    ~~~   |          |max 31 %  |     | ࠧ-  |
|----------+----------+----------+----------+----------------|
|       | ⪨  |   |   ⭨  |  ᫠    |
|    ~~~   |.|     %    ||                |
|----------+----------+----------+----------+----------------|
|          | ⪨  |   |          | ⥯   |
|        |-|        | 4.5-7 . |    ஢    |
|    ~~    |   |  ०  |          | 30000K (GaAs)  |
|          |  .   |  ࠡ  |          |  1400K (InP)   |
|----------+----------+----------+----------+----------------|
|          |   |   |   ⭨  |                |
|        |  ⪨|    %     ||  ᫠    |
|    ~~    | ஂ|          |          |                |
|----------+----------+----------+----------+----------------|
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
  1.  ࠢ⥫  ࠪ⨪   ஢
~~~~~~~~~~
              ஢.

     ⭠ 奬 ⮤   ஢  

ਢ  . 4.

                       __________
                      |          |
                     |~|        |~|
                     | | Y     | | Y
                     |_|        |_|
                      |          |
                       ~~~~~~~~~~

. 4.  ⭠  奬  ⮤    ஢
~~~~~~~
         .

      ⭠ 奬    ᠭ  ᮮ⭮襭

(3.1), ᮣ᭮ ࢮ  壮.
               .     .
               Iy + Iy = 0                             (3.1)

     稭 Y  ஢ 㧪    ⮢

ன 奬, Y - । ஢  ஢

ਡ,
                    .    .
               Y = I1 / U1                              (3.2)
.   .
I1, U1  -      ⮪    殮  ࢮ

ମ    ஢  .   ..      
                                                    .
஢ ਫ        殮  U1,  

  魮⥩:

                     2             2
               | U2 | * Y + | U1 | * Y = 0             (3.3)


     ⨢  魮      㧪   (3.4)   ⥫쭠

                          2
                = | U1 | * Re(Y)                      (3.4)


 ⥪, 

                     2
               | U1 | * Re(Y) = -                     (3.5)

     .
.. Y   ⥫  ⢨⥫    

⢮   ⥬      㫥  㤮.

稥 ⥫쭮 ஢ ࠪਧ ࠭ଠ

ࣨ:   ஢      ॡ    ࣨ

ﭭ ⮪     筨    㫥

.

      ⢥ ࠭ଠ஢ ࣨ   ᯮ짮

 寮᭨ : 㭭    (),    -

஫  (), 樮 -  ஫    ()  

  ().

       ஢ ਡ  뢠  ६

᭮묨 ࠢﬨ    ந  [8]:  ࠢ

⭮  ⮪,  ࠪਧ騬   ࠧ   ࠢ

⮪ 鸞; ࠢ 뢭, ࠦ騬 

  뢠    ⥫  鸞,     ࠢ

ᮭ, 뢠騬 ᪨   ஢.

     筮 襭  ࠢ  ⮬ ࠭  ᫮

 饬   㤭⥫쭮      .  ⮡  

   奬 ஢ ਡ஢.

       ।⠢  ᮡ  ਡ,    㤮  

, ..  ⭠ 奬    筠, 祬

奬 㣨 ஢ ਡ஢.  ࠪ᪮  窨

७  ।⠢ ᮡ    ᮧ  

⮤  ⪮  ᠭ⨬஢ .

      (BARITT)   㥬  魮  [9],

 -  ஢  㬮      殮  ⠭

 ᯥ⨢묨  ஢᪨ ⮤.

      ᯥ稢  訥      魮  

[10].    ⪮  ⭮⥫쭮 ᮪

஢  㬮,  ᫮  ,      ।,  㬠

ࠧ.

      ࠧ,  ᥣ譨      室騬

஢  ஬  ⮤   

, ,    筮 ᮪ ஢  㬮

  ,   筮 ᮪ 魮 

(  ⪮      )    ॡ  

[11] 殮 ⠭ ( 4.5 - 7  ).
 
 
 
 
 
 
 
 
 
 
 





          4.  .
          ~~~~~~~~~~~~~~~~~~~~~~~

       ࠡ 﫮 ⥬᪮ ஢

ᮢ,  ந室    ⮤            

饩 㧪.  ⮣ 뫠 ⠢ ⭠

奬 ⮤ ( .5 ).


                        c         --> i2
        |~~~~~~~~~~~~~~~|~~~~~~~~~~~~|~~~~~~~~|
        |            |  >            |        |
        |         i1 |  > Lk         |        |
        |            V  >            |        |
        |               >            |        |
        |               |a           |        |
        |           |~~~~~~~|        |        |
        |           |       |        |        >
       |~|          |      |~|       |        >
       | | Yn  Cd  ===     | | Yd   === Ck    > Ln
       |_|          |      |_|       |        >
        |           |       |        |        >
        |           |_______|        |        |
        |               |b           |        |
        |               |            |        |
        |              |~|           |        |
        |              | | Ys        |        |
        |              |_|           |        |
        |_______________|____________|________|
                        d        

.  5.  ⭠  奬  ⮤         .
~~~~~~~~

     奬 ᠬ   [6] 砥 ஢  

Yd,      Cd,  ஢  ⨢     Ys,

⨢    L        .    

祭    ⥬    㧪,     뫨

।⠢      ⨢  ஢  㧪  Yn  

⨢ 㧪 Ln.

         ⭠    奬    뢠     ⥬

७樠    ࠢ    (4.1-4.4),    祭    

ᯮ짮 I  II  壮 [12].


          dUab/dt = ( i1 - Yd(U0 + Uab) Uab ) / Cd       (4.1)

          dUcd/dt = ( -i1 - Ucd Yn - i2 ) / Ck           (4.2)

          di1 /dt = ( Ucd - Uab - i1 / Ys ) / L         (4.3)

          di2 /dt = Ucd / Ln                             (4.4)

     㧪   ⥬ 뫠 ।⠢   

,  㦥      ஢  ࠦ饩

孮 ( .6 ).


           ~~~~~~~~~~~~~~~~~~~~~~~|
           .                     |~| .
           Yn                    | | Z
                                 |_|
           _______________________|


. 6. ।⠢ 㧪   㦥 .
~~~~~~~
        
                                       .
     ᭠ ஢ 㧪 Yn 뫠 ࠦ  १

樥 ࠦ   ꥪ ( 㧪 ).  ⮣

뫠 襭 ⥬ ࠢ (4.5-4.6) [12].

               .   .      .
               U = U + U                           (4.5)
               .   .      .
               I = I + I ,                         (4.6)
    .     .
 U, I -  殮  ⮪  饩  ,
.     .
U, I -  殮   ⮪  ࠦ  .

樥 ࠦ ।⠢  ᮡ  ⭮襭  

ࠦ  饩 .

                   .      .
               G = U / U                           (4.7)

      १ 襭 ⮩ ⥬ 뫮 祭 ࠦ

 ᭮ ஢ 㧪.


               .     1      1 - G exp ( -2 j    l )
               Yn = --- * -------------------------- ,   (4.8)
                     Z     1 + G exp ( -2 j    l )

 Z -  ⮣ 

                   Z = m m0 W /                         (4.9)

W -  , m  -  ⭠  ஭栥,  m0  -

⭠ ﭭ, l - ﭨ  ꥪ,     - 䠧

ﭭ.

      ⠭  ⥬ ࠢ (4.1-4.4) ᭠

஢  㧪  뫠  ࠧ    ⢨⥫  

 .

                                       2
            .       1             1 - G
       Re ( Yn ) = --- * ---------------------------2   (4.10)
                    Z    1 + 2 G cos ( 2    l ) + G

                                 2
            .       1         2 G sin ( 2    l )
       Im ( Yn ) = --- * ---------------------------2   (4.11)
                    Z    1 + 2 G cos ( 2    l ) + G


     ⢨⥫쭠    ஬ 

祭 ⨢ ஢ 㧪

                               .
               Yn = Yn0 + Re ( Yn )                     (4.12)


        ᨬ     ᢮      

ࠪਧ  ,  ⨢.  砥,  ᫨
     .
Im ( Yn ) > 0,  ࠪਧ ,   

 .
                                .
                 = 0 + Im ( Yn ) / W                (4.13)


 ⨢ 砥   ࠪਧ  ⨢,  

  Ln.

                                       .
                Ln = Ln0 + 1 / ( |Im( Yn )| W )         (4.14)


     ⮡         ஢     ,     室

த७஢ ࠦ    殮:


                       M0 U             U    4
                      ------  +  Vs [ ----- ]
                         L             Ep L
     i(U) = q n S * ------------------------------      (4.15)
                                      U    4
                            1  +  [ ----- ]
                                     Ep L


 q -  , n - 業 ⥫ 鸞,

0 -  ⥫ 鸞, U - ਫ  ⥭樠,

S - 祭 , L -  ,  Vs  - ᪮  饭

⥫ 鸞, Ep - ண .
      
i, A. |
      |
0.09  +
      |
0.08  +
      |
0.07  +
      |
0.06  +
      |
0.05  +
      |
0.04  +
      |
0.03  +
      |
0.02  +
      |
0.01  +
      |
      +-----+-----+-----+-----+-----+-----+-----+----->
      0     1     2     3     4     5     6     7      U, .

.4.3.    -  ୠ   ࠪ⨪      .
~~~~~~~~

      १ ७஢ 뫮 祭


                                     Vs      U   3
                        |~  M0 + 4  ---4  ( --- )
          di    q n S   |            Ep      L
    Yd = ---- = ----- * | --------------------------- --
          dU      L     |               U    4
                        |_      1 + ( ----- ) 
                                       L Ep


                              U           U    4
                 3        M0 --- + Vs ( ----- )    ~|
                U             L          L Ep       |
     --  4 * ------ * ----------------------------  |    (4.16)
              3   4                U    4  2        |
             L  Ep       ( 1 + ( ----- )  )        _|
                                  L Ep


     ⠪,  ⥬  (4.1-4.4)    ⠭  (4.13),

(4.14),  (4.16),      祭  ⮪  i1,  i2  
.
殮 Uab, Ucd    ६.    ࠦ

(4.8),   ᫥⥫쭮    ࠦ  (4.10)    (4.11)  뫨


Yd,.|
      |
   -1 |
1*10  +
   -2 |
9*10  +
      |
      =
   -3 |
1*10  +
      |    3.5   4.0   4.5   5.0   5.5   6.0   6.5   7.0  U,B.      
      +-----+-----+-----+-----+-----+-----+-----+-----+--->
   -3 |
1*10  +
   -3 |
2*10  +
   -3 |
3*10  +
   -3 |
4*10  +
   -3 |
5*10  +
   -3 |
6*10  +
      |
     
.4.4. ᨬ ஢        殮
~~~~~~~~
        ⠭.


뢥    樨.    ମ  

㧪  ⠢ l ( ﭨ  ꥪ )  


          l = 2   [ l0 + A sin ( W t ) ] /    ,        (4.17)


 l0  -  砫쭮  ﭨ    ꥪ,  W  -  

樨,  - 㤠 樨.  ⠪   

६饭 ꥪ,   ᬮ७  ᪮ V,

⮣

          l = 2   [ l0 + A sin ( W t ) + V t ] /       (4.18)


     ⥬ (4.1-4.4) 蠫  ⮬   ﭨ

 ꥪ  (4.18).  ᪮  襭  ⮩  ⥬  

।⠢ , ⮬ ⥬ 뫠 襭   

  ⮤  㭣-      ⥬   ७樠

ࠢ [13]. ᫥ ஢      祪  

ਮ      ०   ᠬᮣᮢ   .   ஢

  । ਮ,  ᫥  祣  﫠

  ᫥ ॠ쭮 ਮ.  ᫨  ।

  ᫥    ࠧ砫    祬     10   %,

᫥ த   ᫥    ਮ,  ᫥

祣 ஢ ࠢ      ࠭  .

 த   ᮣᮢ  ன        

 筮.  ।⠢﫨     

⮪  殮 Uab, Ucd, i1, i2   ਮ, 

   쭥襬   ᯮ짮      宦    稭

த⥪஢ ᨣ (4.19), 魮    ᨣ  

㧪 (4.20)  ᯥ஢ ⮪    㧪.
 
 
                            T
                      R           
               V = ---   i1 dt                       (4.19)
                       T
                            0

                            T
                      1
               P = ---   Ucd i2 dt                   (4.20)
                       T
                            0


      ⮪ i1  i2 室 ⮤ ࠧ 㭪権

i1(t)  i2(t)    [14,15].



        a0
f(t) = --- +      [ ak cos( k W t ) + bk sin( k W t )], (4.21)
        2
              k=1








                          T
                     2
               ak = ---   f(t) cos( k W t ) dt          (4.22)
                     T
                          0


                          T
                     2
               bk = ---   f(t) sin( k W t ) dt,         (4.23)
                     T
                          0

 f(t) - 㭪樨 i1(t)  i2(t), W -  ᨣ,  k  -

 ମ, k = 1, 2, 3,  ...  .  㤠    䠧  k-

ମ   室      㫠    (4.24)        (4.25)

ᮮ⢥⢥.

                       ____________
                      /  2      2
               Ak = \/ ak  +  bk                        (4.24)


               k = - arctg( bk/ak )                    (4.25)


     ⥣ࠫ  ࠦ  (4.19),  (4.20),  (4.22),  (4.23)

﫨 ⮤ ࠯権  [16].  ⮤  ࠯権,    

    ࠢ  ⮤   ࠢ

ᮭ,      筮     墠⠥      襭

⠢  .  ஬  ⮣,       ᮪

 設 ६,    祭.

      楫 㬥襭    設  ६  ணࠬ

஢ ࠡ ⮤    뫠 ᠭ  

몥  ᮪  ஢    [17].  ணࠬ  ॠ  

ᮭ쭮  " ஭  0507 " ( . ਫ 1 ).

ணࠬ  ਢ    ਫ  3,       ᠭ   

ਫ 2.

        뫨  ࠭  ᫥騥  砫  :

                                 2         15  -3
fg = 10 , 0 = 6000 /( * ), n  =  10  ., U0 = 4.5  ,
                             2              6
L = 10 , S = 100 * 100 , Vs = 8.5 * 10 /, Ep  =  4000

/, G = 1,   = 1, Yn0 = 0.01 , Ys = 0.05 , 0 = 0.45 ,

Cd = 0.25  ,  L  =  0.45  ,  Ln0  =  0.45  .  

஢    ।  ⢨  堭   ᨣ

( ﭭ  堭     = 0 ). ஬  ⮣, ⠫, 

஢ 㧪 ⮨ ⮫쪮  ஢ 

 ஢ ࠦ饩  孮.    ࠪ⨪    

砥   ஢   ,   ஢   ⥭,

஢ ⮣ ࠭⢠  ஢  ࠦ饩

孮.  襨騥  뢥    ⮬  ⮣

।.

       ⢥  ࠭  ᫮      襭   ⥬

७樠 ࠢ  ࠭  祭  Uab  =  0.8  ,

Ucd = 0.5 , i1 = 0.01 , i2 = 0.007 A.

        ᫥ 뫮 ⠭,  ⮤,

ॠ  ணࠬ Hann.sav ਣ ⮫쪮  

ᮢ, ந室  ⮤    

㧪.   ࠧ ᫮ 訬  ⠬

設 ६.  ਢ  ᫥騩  ਬ:    ꥪ

ᮢ蠥   ⮩ 10 .,    饣

ᨣ 10 .; ⠪ ࠧ, ⮡    ⢨

樨 ꥪ  ⮤, 室 ஢    
                                      6
   ਮ 樨, ..  10  ਮ  饣

ᨣ.   ਮ 饣  ᨣ  

      設  ६,  ..     

ॡ 9.5 .

       ९⢨  뫮  ࠭  ᫥騬  ࠧ:  

 ணࠬ Hann.sav  뫨  ஢    稭

த⥪஢ ᨣ   - 魮    㧪 

   ꥪ    祭    ᨬ  

ﭨ      ᫥㥬   ꥪ.    뫠    ஢

பᨬ   ᯮ짮  ⮤    ⮢

(  ஢  ப "஭  - 52" 

ᯮ짮 ⠭⭮    ணࠬ  ᯥ祭

 - 3 )  १ 祣 祭 ᫥騥 ࠦ:

                           -3        -4
          P( L ) = 3.57*10 - 2.24*10 L + 
                    -3        -4
          + ( 0.61*10 - 2.20*10 L ) sin( 4   L /   )    (4.26)

                           -1        -2
          V( L ) = 3.45*10 - 2.35*10 L +
                    -1        -2
          + ( 2.36*10 - 2.01*10 L ) sin ( 4  L /   )    (4.27)


      ﭨ  ᫥㥬 ꥪ  L    
                                                 
(4.28)  ᫨ । 祭  ( L )   V( L )  

ਮ 樨 (4.29), (4.30), 뫨 ᫥ 祭   -

魮  㧪  稭 த⥪஢ ᨣ  

砥 饣 ꥪ.



               L( t ) = L0 + dL sin( W t )             (4.28)



                            T                           
                      1     
               P = ---   P( L(t) ) dt             (4.29)
                       
                            0

                            
                      1     
               V = ---   V( L(t) ) dt,            (4.30)
                       
                            0


  - ਮ 樨.

      ஢    ⮢  뫠  ᠭ  ணࠬ

Vibro.sav ( . ਫ  4.  ).  ᫥  ஢  

    樨    1  .     10   .   

    䨪஢    祭          樨:

dL = 0.01 ., 0.1 ., 0.25 ., 0.5 ., 0.75  .,  1  .,

1.5 .,  2  .,  3  .  (    ᮮ⢥    

饣 ᨣ )  5 .
























































          5.  .
          ~~~~~~~~~~~~~~~~~~~~~~~~~

     ஢ ᮢ    ⮤  ஢    

⠯.    ࢮ  ⠯  室  뫮     ࠬ

⮤  ࠡ      ᫥㥬  ꥪ⮬.  

⢥    ࠬ஢  뫨   ࠭   稭,   

騥  ࠪ᪮   ७:      樨,

魮      -   ᨣ       㧪        稭

த⥪஢         ᨣ.   뫨   ஢

᫥  ࠬ஢    ᨬ    ﭨ  

᫥㥬 ꥪ   殮 ⠭   .

     ஬ ⮣,  뫠  祭  ᨬ      -

ᨣ    饣  殮   ࠡ   ⮤   

ᮣᮢ 㧪  (  樥  ࠦ  G  =  0  ),

 ਢ  㭪:

   fg,.
           |
        15 +
           |
        14 +                   *
           |
        13 +
           |
        12 +              *
           |
        11 +
           |         *
        10 +    *
           |
           +----+----+----+----+----+---->
               4.5  5.0  5.5  6.0  6.5  U,.   

. 5.1. ᨬ     -  ᨣ    殮
~~~~~~~~~
          ⠭  ࠡ  ᮣᮢ 㧪.

      㭪  १     -  ᨣ  

殮 ⠭  5 ,  ⨬  ᯮ㥬

 ⥬ ( 10 * 23 .  12.5 *  28.5  .  )  

稭 ⢮ ᪮  :




                           2       2 -1/2
            = 2 / [ (m/a) + (n/b)  ]  ,                (5.1)

 a, b - ࠧ ⥭ , m, n = 0, 1, 2, ... .

        ⥬    ⢮    -

ᨣ  ⠬ 8 - 12 . (  7  -  10  .  ).  ⮬

ࠪ᪨ १ ஢  ᯮ짮  

殮 ⠭ 4.4 - 5.3 . ,    쭥襬  

ᬠਢ  㣨 殮 ⠭ (  7  .  )  

஢  ࠡ  ⥬    㣨       

宦 ᨬ⥩ ࠬ஢  殮 ⠭.

      . 5.2  ਢ  ᨬ    -  魮  

㧪  ﭨ  ᫥㥬  ꥪ    殮

⠭.   ਮ᪮  ᨬ    ਮ

   /2,      -    -        殮

⠭ (  (4.5) = 3 .,  (5) = 2.7 .,  (5.5) = 2.4 .,

  (6)  =  2  .  ).    ࠪ  ᨬ      

ᨭᮨ쭮, ⮬   뫠  பᨬ஢  㭪樨

 (4.26)  쭥襣 ᯮ짮.  樥  ⮩

ᨬ    殮 ⠭.   .

5.3 ਢ ᨬ    -  魮    㧪  

ﭨ  ꥪ L = n  /4, n = 0,1,2, ...   殮
                                                        
⠭,   . 5.4 ᨬ   㭪樨  P(L)

  殮  ⠭.    ᨬ   ⢨⥫   

ࢠ  L = (0 - 5)   .   㢥祭  殮  ⠭

ந室 㬥襭  - 魮  㧪   㬥襭
                             
 㭪樨 (L).  殮 ⠭ 6.5 - 7.0  

 - 魮 ८⠥  祭  2.78  .    ⠥

    쭥訬  㢥祭  饣  殮,
                     
 㤠 㭪樨 (L) --> 0.


      筮  뫠  ஠஢  ᨬ  稭

த⥪஢  ᨣ    ﭨ     ꥪ   

殮 ⠭ ( . . 5.5  ).    ᨬ  ⠪

  ᨭᮨ쭮, ⮬  뫠 பᨬ஢ -

樥  (4.27).  . 5.6  . 5.7 ਢ ᨬ

稭  த⥪஢ ᨣ  L = n  /4, n = 0, 1,

2, ...   㭪樨 V(L)  殮 ⠭.
                                              
         ᨬ⥩  (L,U)    V(L,U)  

ᤥ 뢮,  ७ 룮 ஢  殮

⠭  4.5 .  ﭨ    ᫥㥬  ꥪ

(4n+1)  /8, n = 0, 1, 2, ..., .. 塞  稭  

訥 祭,( 0.6 .  殮  4.2 .   -

魮 ),    뤥   䮭 㬮.

      .5.8 ਢ ᨬ   - ᨣ 

ﭨ    ꥪ    殮  ⠭.   ᨬ

    ਮ᪮        ਮ       /2. 㤠

⥫쭮  㯥ਮ   ⥫쭮      

⥫쭮 㯥ਮ. 祭     窠 n  /4,

n = 0, 1, 2, ... ᮮ⢥ 祭   ࠡ 

ᮣᮢ 㧪.    ਢ    㦤  

,       ᤥ  뢮,

    L  =  ( n/4 - n/2 )     㤥   ந室  ஥

堭  ᨣ,  ⮬  ७       窠   

।⠢  묨.  ७         窠

L = [ n - (n+1) ]    /4,      ᨣ  ᮮ⢥

   ( 10 * 23 .  12.5 * 28.5 .). 

      .5.9  .5.10 ਢ ᯥ ⮪  㧪

    ᮮ⢥⢥  L = (4n+1)  /8, n =  0, 1,

2, ...,  窥,  ⭮  ७.  

ᯥ   ⬥砥   ८    ᭮    ମ,
.
᫥⢨ 祣  뢠  襥  ﭨ    ࠡ

⮤.   ⨬      ᭨        ମ
                       
 㭪権 (L), V(L).

             ⠯  ஢     

ணࠬ Hann.sav.
                      *
       ஬  ⠯  뫮  ஢  ஢  ࠡ

⮤  饬  ᫥㥬  ꥪ.  ஢

஢    ணࠬ  Vibro.sav    ᯮ짮

ᮮ⭮襭 (4.26)  (4.27).  . 5.11  5.12  ।⠢

ᨬ     -   魮      㧪      稭

த⥪஢        ᨣ    砫쭮

ﭨ    ꥪ      樨     

樨   1   .      ᨬ        ࠢ

ᨭ㤠   ᫥⢨  ᯮ짮  பᨬ権

(4.26)      (4.27).   ਮ    ᨬ⥩  ࠢ   /2.
                                            
   ᨬ쭮 祭  稭 (L)  V(L) ⬥砥

 窠 (4n+1)  /8    (4n+3)  /8,  n  =  0,  1,  2,  ..., .

७   ᫥   ஢           ᨬ쭮

⢨⥫쭮. , 뢠 ।騥  ࠭祭  

, 窨 (4n+3)  /8  ਣ묨  ஢

७  ᫥⢨   㤭   ⢮   ᨣ

⠪  ᮪        ⨯  .  ⮬

७     ४     ஢           

(4n+1)  /8  -  (4n+2)  /8.

      . 5.12  5.14  ਢ ᨬ  - 魮

 㧪  稭 த⥪஢ ᨣ  

樨   樨 1 .  砫쭮 ﭨ 

_______

*
        殮 ⠭ 4.5 .

ꥪ (4n+1)  /8, n = 0, 1, 2, ... .     뢠,

  ⠭ ᯮᮡ     権  
             -5       -2                 -5     -3
।  10 .  10 .   ⪥  10  -  10  .  ।

⢨⥫쭮   殮  ⠢  11  /.,  

魮  -  30  /.,      ஢   

७ ਩ ᪠  ⥫쭮  ன.  
          -3     -2
⪥  10  -  10  .  ⢨⥫쭮   १   ⠥,

⠢  ।  殮  祭  56  /.,  

魮 - 140 /,    ஢  ७  

 樧 .   ॢ襭  㤮

樨   (   砥 3 . ) 祭   -

魮         稭     த⥪஢     ᨣ
                                                         -2
    ମ᪮  .    ⪥  10   -
  -2
3*10 .  ⬥砥   ࠧ  祭  魮  

த⥪஢   ᨣ,      㤭   ஢

७     樨.

      . 5.15  5.16  ।⠢    ᨬ

 - 魮  㧪  稭  த⥪஢  

 ᨣ  ࠧ   樨.  ⢮

  ᨬ⥩        ⥬᪨

ᮡﬨ  設  ⮤  ᫥  ⥣ࠫ  (  

⭮ ⮤  ࠯権  ),  뢠  ᢮  ﭨ  

᫥  ࠦ  (4.29)    (4.30).   ஬   ⮣,   

᫥    䠪,      ࠦ  (4.28)  L(t)

ਭ  祭  L0  +  dl(1-0.8)      祭   襣
                         ~
஬⪠ ६, 祬 ⠫  祭,    ਢ  
                                                   
㬬஢  ᭮ ࠩ 祭 P(L)  V(L).  

⮬    樨      䥪   ⠭   

묨,      ਢ        祧    

ᨬ⥩.

           .
          ~~~~~~~~~~~~~
      믮  ࠡ 뫨  祭  ᫥騥

१:

1. ஢  ᮢ६ ﭨ  ஡  ७

   ࠬ஢ 樨.

2. ஥ ⥮᪠   ⮤    

    , ᠭ  ﭨ  ࠭⢥  

   㧪  ࠬ ⮢ ⭮ 奬.

3.  ᭮ ஥  ⠢   ணࠬ  

    ࠬ஢ ⮤   .

4. ஢ ஢ ࠡ ⮤     

   ࠧ 殮 ⠭  . ⠭, 

     ன⢮    ᯮ짮    殮

   ⠭  4.4  5.3 .

5. ஢ ஢ ࠡ ⮤     

   ࠧ 㤠 ᫥㥬 ꥪ. ⠭,  

   ࠪ᪨ ७   ﭨ   ꥪ

   [ n - (n+1) ]   /4, n = 0,1,2,...,  ⨬  窨  

   ஢ ७ (4n+1)  /8,  ⠭ 

   ᨬ    -  魮    㧪  /   稭

   த⥪஢    ᨣ.

6. ஢ ஢ ࠡ ⮤     

   ࠧ  㤠      樨   ᫥㥬

   ꥪ.     ⠭,               ன⢮
                                                         -5
   ਣ  ७ 権    㤠    10  .

  ( ⢨⥫쭮   殮  ⠢  11  /.,
                                                        -2
       -  魮   -   30   /.   )      10   .

  (  ⢨⥫쭮    殮  56  /.,    -

   魮 - 140 /.



           .
          ~~~~~~~~~~~~~

 1. 㫥 . ., 㭮 . ., ᮢ . . ७ 

     堭᪨ ६饭  ਬ  ⮣
    
     १ //    . -  ஭. -

    1975. - .18. - N10. - . 93 - 98.

 2. थ . .,  . ., ࠧ殢 . .  ਬ

    ࠧ㪮   ⮤      த⨪   

    ⮬ // ஫. - 1990. - N6. - . 33 - 36.

 3.  . ७ ᢥ⮢  ⮤  ७  ࠬ஢

    堭᪨  // 㡥  ࠤ஭.  -

    1975. - N12. - . 70 - 76.

 4. ஢ . ., 㭪 . ., 㪮 . . 

    ७   ࠬ஢   孮᪨  ᮢ, - .:

    ࣮. - 1989. - . 124 - 162.

 5. 楢 . ., 类 . .,  . .,   .

    ., ࠣ . .  ⠭  ७ 権  //

    ⥫쭠 孨. - 1971. - N11. - . 45 - 46.

 6.  . ., 砪 . ., 楢 .  .  ⮤  //

    ⮣ 㪨  孨. - ஭. - 1984. - .33.

    - . 3 - 175.

 7. ⮢    .   .,    楢   .   .   ࣥ᪨

    ࠪ⨪       ஢᪨       ⮤      

    ஢  ਡ // 孨  ஭.

    - 1990. - .35. - N7. - . 1514 - 1517.

 8.  .  ஭ ஢. .   .

    /  ।. 㧥. - .: ࠭ . -  1953.  -
 
    . 558.

 9. ᪨ . . 樮 - ஫      ப

    , BARITT -   //  㡥  ࠤ஭.  -

    1977. - N11. - . 98 - 103.

10.  - ૮ . .,  楢  .  .,    .  .  

    쭮  ஢  㤭  㬠   ஢   

     - ஫  // 孨   ஭.

    - 1976. - .21. - N2. - . 357 - 363.

11. ᠭ . ., ࡠ⮢ . .,  . .  

     - ୮ ࠪ⨪     ᨬ

      ०    ࠡ        //      .

    - ஭. - 1991. - .34. - N5. - . 107 - 108.

12. ᨫ쥢 . ., ⥫  .  .,  襭  .  .    .

    孨᪨ 楯  ᨣ /  ।.  . . -

    .:   . - 1982. - . 48 - 49.

13.  .,  . . ਬ   娬.  .

     . - .: , - 1988. - . 235 - 241.

14.  .,  .  ࠢ筨    ⥬⨪    

    ࠡ⭨    ஢.  .    .   /      ।.

    ࠬ . . - .:㪠. - 1973. - . 146 - 150.

15. 㤠 . .,  .  .    ⥣ࠫ    .  -

    .:㪠. - 1965. - . 449 - 458.

16. ࠪ .,  . ᫥ ⮤   ணࠬ஢

     . .  . /   ।.  ઠ  .  .  -

    .:. - 1977. - . 205 - 207.

17.  .,  .  .    ணࠬ⮢.

    .  . - .:   ⨪. - 1988.












