            
              













                    1 堭

                  2   9

            2   
            2   .














                       ᫮ 2000





.
                           - 2 -


     2 ࠡ:1    ଠ樨 ⢥म ⥫,
		  1 ⥬  ।  祭  -
		  1 ᤢ ⠫᪮ ভ  ஢.

			    _.

      ॠ ⥫ ନ㥬.    ⢨  ਫ
ᨫ   ᢮   ꥬ.
      쭮 㣨 ⥫  筠  ᨬ
 騬 ᨫ  뢠묨  ଠﬨ. 㣨
ଠ樨,  稭騥  㪠, 뢠 묨. ᭮
⮬  ଠ樨 ய樮 ᨫ,  뢠騬.
     ଠ樨 ࠧ  த  (殮,  ᦠ⨥)	
த (祭, ).
     ᫨   殢  த ভ  ९,
   㣮 ਫ 稢騩  ᨫ 20,   
  㣮 7f0, , ᮣ᭮  㪠:

                          = 7f0f .                             (1)

     ﭭ 稭 2f0    祭. 
祭 易  㫥 ᤢ ਠ ভ 2G0 ᮮ⭮襭:
101.0

			    7p0r54
                       f = 5 0G ,                           (2)
			    2L

0
 2r0 - ࠤ, 2 0 2L0 -  ভ. ⬥⨬,   -
 ᨬ  稭 20  7f0,    㫮  (1),
  ⮫쪮  ࠢ⥫쭮  祭 20.   -
饬 砥 ᨬ 7f0 = 7f0()    ⮫쪮  ,
  筮.

     ⭮襭
			     7p0r54
		      M = G 5 7f
			     2L

㪠뢠     ⮤ ᯥਬ⠫쭮 ।
 ᤢ:
    1᪨ 0-  ⥬ ७  譨 ᨫ ( ᫥

                           - 3 -

ࠢ  ᨫ 㣮)  ᮮ⢥饣 㣫 稢-
;
    1᪨ 0- ⥬ ७ ਮ  ⨫ ᢮
 ⥫, 襭  ᫥㥬 ஢.



               _I ।  祭
                _ভ ᪨. _⮤.


     _2ਭ:.1 ᫥㥬 থ,   
                     1誠, 㫥⪠, ஬, 
                     1㧮.0

     ᯥਬ⠫쭠 ⠭ ࠦ  .1.  -
   ⨪쭮 ভ  ⪮ ९  ⮩-
,    ᮥ  ᪮ .   20,  稢騩
থ,  ᮧ        ४ १
2 0 ,  栬  訢  -
 .  ᭠ ઠ楬 .  । 㣫 -
稢 ভ    ࠢ  ઠ  -
 ⮣, ⮡ ࠦ    誠.
 10 mex09-1.pcx 80 80

          10













             .1. 奬  ⠭   । 
                    祭.

                           - 4 -


  ᬥ饭    稢  -
,  । 㣮 稢 7f0  㫥:

                         7f0 = X /4 02l ,                    (3)

 2X0  - 稭 ᬥ饭   誠,  2l0 - ﭨ 
ઠ  誠.
      ᨫ, 騩  থ, । 

                             = mgR ,                    (4)

 2m0 -  㧠, R - ࠤ ᪠.

                           _७..

     1. ⠭     ⠪ ࠧ,  ⮡ 
ࠦ  ઠ     誠.
     2. 訢 , 㢥稢 㧪   , ᭨-
 ᨬ 7f0=7f0().  த ᯥਬ   ⭮
浪,  ⥯  㬥 稭 稢饣 -
.   ७     ࠧ.
     3.   ᯥਬ ࠧ ᪨  -
न (7f0,).   樥  אַ  ।
稭 2f0. 業 饭  ⮬ 譮.
     4. ᯮ  (2),  ᫨   ᤢ  2G0.
 祭 ⠪ ࠧ 祭  ⠡.
            ७   ⠡ 1.
+
                                                   1.
        Ŀ
        N  m       M   4 7f410    7f420   7f0    
        Ĵ
                                        
                                        
        

                    7D0m =7 0,7 D0M = ,7 Df0 =




                           - 5 -

        _II. ।   ᤢ   
                   _⨫ .

_2ਭ:.1 ஢  ᫥㥬 ਠ,  ,
                10 1㭤, ஬, ⠡ .0

     ᯥਬ⠫쭠 ⠭  ⮨    -
쭮 祩 ஢,    ன ਪ९-
  ਧ⠫쭠 ଠ   ᨬ筮 ᯮ-
묨 㧠.     ଥ    䨪-
.
     孨  ஢ 㤥   栭   -
 ᯥ樠쭮 ᯮᮡ   栭  -
稢  ⨪쭮 .   ࠧ    ⥬
  㦤  ⨫  .  襬  ⮣
 ࠢ :
                               d527f
                        = J  .                  (5)
                               dt52


      20  -   ᨫ,  易 ᢮ ந宦
㣨 ଠ,2 J0 -  樨   㧠,
7f0 - 㣮  .  ᫨ 㤠  -
,  ।  ᨫ 20   ᯮ짮
 㪠  ଥ (1).   20  ⮬ 砥 맢 -
ଠ樥 ஢  ६ 㬥,      㢥
㣮 7f0.  㫥 (1) 室, ⮬ ६ .
     ᫥ ⠭ (1) 㫠 (5) ਮ⠥ :
1.0
                d527f
               +7 w527f0 = 0 ,                        (6)
                dt52

 7w52 0= f/J.

0
襭 (6)  7f0 = 7f4o0 sin(7w0t + 7Q0) ,              (7)
 㤠 7f4o0  䠧 7Q0 । 砫묨 ᫮ﬨ.
 ࠧ, ਮ  20 ࠢ:
1.0
                                   _____
                        27p0      7  /0  J
                   T =  = 27p0 7/0   .                (8)
                        7w0       7?0    f
0


                           - 6 -


      , ᫥ 㫠 祭  -
 ,    ६,   ᠬ  -
  ᥣ .  ᫨,  ,  堭 
,  ..      ਮ 
 ᠬ ,   㫮 (6)  짮.
ਥ  ਬ 㦨 ࠢ⢮:
                           n >> 1,                       (9)

 n - ᫮   ,  ᫥  ண  㤠
㬥蠥  2-3 ࠧ.
     ⬥⨬,  ਮ 20   7f 0    -
.     㤠  㪠 蠥 
⠪ ᨬ  .    ࠧ,  
᫮  ਬ 뢠 ⮤  ᮡ-
 ࠢ⢠:

                          = const                      (100)

     ᪨ ⮤  ॡ 筮   -
७ 㣫   ᨫ  室 ப ਬ 
ᯥਬ⠫쭮 ।  ᤢ.

                           _७..

     1. ० ᥣ ⠭  ,  ஬
믮 ᫮ (100).   ⮣ ९   -
஬ ﭨ  ஢  㤨  ⥬ ⨫-
  .    ६  ᪮쪨 (  10-)
 ,    ਮ  2410.  訢  
,  ⥬  ᯮᮡ । ਮ 2420.  ᫨ 2410 = 2420,

  ஢ ७     
 ࢮ.  ᫨  ,   2410 > 2420,  
室 㬥  ⠪ 祭 7f0, 稭  -
   7f4o0 <7 f0 㤥 ࠢ ࠢ⢮ 2410 = 2420.
     2. ஢ ࠢ ࠢ⢠ (90).
     3. ⠭  ⠪, ⮡  業  室
 ஬ ﭨ 2L410   ⥬,  ਮ,
      ᠭ . ᫨ 2J0 -  樨  

                           - 7 -

㧮,  2J410 -  樨 㧮,  祢, 0

1.0
                                 _________
                                7/0 J + J41
                       T410 = 27p0 7/0  .0             (110)
                              7?0     f

     ⠭   ﭨ 2L420  , 筮 -
稬:

                               _________
                              7/0  J + J42
                     T420 = 27p0 7/0   .0              (120)
                            7?0      f

 (110)  (120) ᫥:

               47p520 (J410  -  J420)   47p520m  (L41520  -  L42520)
        f   =   =  ,0     (130)
                  T41520 - T42520          T41520 - T4252
0

 2m0 - 㬬ୠ  㧮.
     4. 2f0,  祭  ᤢ 2G0  㫥 (2)
 業 饭  ⮬ 譮.   -
७   ⠡ 2.

                                                   2.
  Ŀ
  N   m   L410  L420    t     n   T410  4 0T420   r   f  G 
  Ĵ
                                                 
                                                 
                                                 
                                                 
  
                    7D0m =7 0,7 D0L = ,7 D0T =

                      _஫ ..

     1. 뢥    (2)  (3).   㦭 ᯮ
誠  ⭮襭  ઠ,  ⮡  뫮  ᯮ짮-
  (3)?
.
                           - 8 -


     2.  ।  ᤢ  ᪨  ᯮᮡ
ᨬ  7f0 = 7f0() ४    -
,  ⠪   뢠 祭 2M0.  祬?   
,  祭  ⠪ ࠧ,  १,  ᫨ ७ 

   㤥 ⥫?
     3.   ।  ᤢ ᪨ ᯮᮡ
㪠뢠,   ਮ       
⮫쪮  ࠢ⥫쭮  祭 ᫥.  -
᭨, ⢥,  㤥  ਮ  -
 ?
     4.  ⮤ । 2G0  ⤠ ।⥭
 ࠪ⨪ - ᪮  ᪮?
     5.  । 㣨 ଠ樨 ᤢ   
ভ   ᪮   ஢  ᪮ -
?
     6.   ७  ᨬ 譮 
।  ᤢ   ⮤?
     7.   ࠭祭  㤠  ମ᪨  
⨫쭮 ⭨?














     ᠭ   ࠡ⠬     :
                     www.uniyar.ac.ru/~dingo

.
                           - 9 -




                ᪨ ࠪ⨪   堭
                ⮤᪨ 㪠







     ⠢⥫:        ⫠ ᮢ
                        ᠭ 
                          










         ᫠᪨ 㤠⢥ 㭨. 1997
