                    2   12

	     2   

     _2ਭ:.1 ୠ ⠭ FPM-13, 0 1
		     10 1(易 ⭨).

     2 ࠡ0:1  祭  易 ⭨  -
		   1   ᨭ䠧  ⨢䠧 -
		   1. 祭  "".

       ᪮쪮 ⭨, ᮥ  ᮡ  -
 ନ㥬 痢 ।⠢ 易 ⥬.
         ⥫묨 ﬨ ⭨. -
 ⭨,  ।⠢ ᮡ ⥫  00  2m0,  襭Ϯ0  
ভ   2l0.  ϐᬮਬ 砩,    ভ 
Ϭ 2m0,   ࠧ ⥫   2l0. 0 ᬥ饭 ⠪ -
⭨  㣮 7a0   ᨫ,  ६騩  -
⭨   ࠢ:
1.0

                         M = - mgl sin7a0 .                     (1)

       ⭨:

			       d7a
			L = J   ,			      (2)
			       dt
0

  d7a0/dt - 㣫 ᪮; J = ml520 -  樨 ⥫.
     ⭮襭 2dL/dt = M0 뢠 ࠢ ⮢. 
᭮ ࠢ  ⥫쭮    -
   ⠪:
1.0

			   d527a
			J  = M .			      (3)
			   dt52

      ⮬ ⮣ (1) ਬ :

			 d527a
		    ml520  = - mgl sin7a0 .		      (4)
			  dt52

0
     ᫨ 㣫 ᬥ饭  ,  sin 7a0 7~0 7a0.  ࠢ-
 뢠 ࠢ ᢮ ମ᪨ :
1.0
			   4"
			   7a 0+7 wa0 = 0 . 		      (5)

0

			      - 2 -

     ᫨ ⪫   㣮 7a4o0     t4o_0 = 0., 
襭 ⮣ ࠢ 㤥: 7a0 = 7a4o0 cos(7w0t);    7w0=7?0g/l  -
᪠   ⭨.
    ᬮਬ ⥯ 易 ⥬,     -
.	⨬  ⭨,  㤥ন 㣮  ,  ⥬
⨬  ६.  ⮬ 砥 ⭨ 1  -
,   祭 ६  ⭨ 2  , 
 ⭨ 1 - .  १ ஥ ६ ⭨ 1
⠭,  ⭨ 2 㤥   ᨬ쭮 -
  ..     ⥫쭮  ᫮,  祬
  ⭨.
     ᫥㥬 ࠢ   易 ⭨.
     ᫨ 㣮	ᬥ饭  7a420 > 7a410  ⭨ 1  -
⥫  (1) ⥫ ⥫  (.1), ࠢ:
 1 mex12-01.pcx 100 80

	      M4k10 = k7e520l520 (sin7a420 - sin7a410) ,			(6)

 2k0 - ⪮ 㦨, 7e0 = l4o0/l, 2l4o0 - ﭨ  窮
 ⭨  窮 ९ 㦨.
	  1











			   .1

     筮, ⭨  2  㤥  뢠 騩 
⨢ :

		M4k20 = - k7e520l520 (sin7a420 - sin7a410) .	       7 0(7)

			      - 3 -

      ⮬ ࠢ (6)  (7),  뢠   -
, 稬 ᫥騥 ࠢ :
1.0
    7(
    720ml520 d527a410/dt520 = -7 0mgl sin7a410 +7 0k7e520l520 (sin7a420 - sin7a410) ,     (8)
    7*
    720ml52 0d527a420/dt520 = -7 0mgl sin7a42 0-7 0k7e520l520 (sin7a420 - sin7a410) .     (9)
    79

     ᫨ 7a420  7a410 - , 

    7(
    720 ml520 d527a410/dt520 = -7 0mgl7a410 + k7e520l520(7a420 - 7a410) ,	    5	   0(10)
    7*
    720 ml520 d527a420/dt520 = -7 0mgl7a420 - k7e520l520(7a420 - 7a410) .    5    0     5 0(11)
    79
0
     稫 쭮 ᫮ ⥬ ࠢ   -
.    , ᠢ  ࠢ, -
砥 ᫮  ⠭ ࠢ (10)  (11).  
 ࠢ 砥:

	     ml d520(7a417 0+7 a420)/dt520 = - 0mg(7a410 + 7a420) . 	   (12)

      (10)  (11)  :

       ml d520(7a417 0-7 a420)/dt520 = (- mg - 2k7e520l)(7a417 0-7 a420) .   0	   (13)

     ⠪,   ⮩ 樨  㤠 "ࠧ易"  ࠢ-
.	砫 襬 ଠ 襭   ࠢ, 
⥬ 㤨  祭. ᬠਢ (12),  ,  -
稭 (7a410 + 7a420) - ६  ᫨  2t0 = 0 ᬥ饭 ࠢ 7a41o0 
7a42o0,  㬬 2- ᬥ饭 㤥  ᨬ  ६ -
:
		7a410 + 7a420 = (7a41o0 + 7a42o0) cos(7w5+0t) ,		   (14)
                           4____
7 07	     w5+0 = 7?0 g/l

ࠢ  筮  樫.	  ६  
㬬	ᬥ饭 ⭨ 1  2,  ⮣ 㤠  ⮩
६ ﭭ.  襭 ࠢ (13)    	
᫥饬 :


			      - 4 -

		 7a410 - 7a420 = (7a41o0 - 7a42o0) cos(7w5-0t) , 	   (15)
		   4______________
   7w5- 0= 7? 0g/l + 27e520k/m7 0     -
 樫.
       㬬 ᬥ饭,  ࠧ ᬥ饭   -
 㤮. ᫨  ᫮ ࠢ⢠ (14)  (15), 稬:
1.0

       1			1
  7a410 =  (7a41o0 + 7a42o0) cos(7w5+0t) +  (7a41o0 - 7a42o0) cos(7w5-0t) .     (16)
       2			2

᫨ ⥬  ࠢ⢠ (14) ࠢ⢮ (15), 稬:

       1		       7 01
  7a420 =  (7a41o0 + 7a42o0) cos(7w5+0t) -  (7a41o0 - 7a42o0) cos(7w5-0t) .    7 0(17)
       2		       7 02
0

     ⨬,  ᫨  ⭨  砫 ࠢ ᬥ饭
7a41o0 = 7a41o0,      ﭭ 㤮  -
⮩4                   0       4_____
			 7w5+0 = 7? 0g/l . 		       (18)

     ᫨  2t = 0 0, 7a41o0 = -7a42o0 ,  ⭨   
ﭭ 㤮,    ᮪ ⮩:
			4_____________
		  7w5-0 =5 7? 0g/l +5 02k7e520/m .			   (19)

         뢠 ଠ묨   -
  ⥬  易 樫஢. ଠ쭠   -
 ⨢ ,   ஬ 㤠  -
    .  ᫨  ᬥ⨬ ⮫쪮  
⭨,  १騬  㤥   -
  . ਬ, ᫨ 7a42o0 = 0,  稬
1.0
	    7(
	    72 a410 = 7a41o0 [cos(7w5+0t) + cos(7w5-0t)]/2 ,	     (20)
	    7*
	    72 a420 = 7a41o0 [cos(7w5+0t) - cos(7w5-0t)]/2 .	     (21)
	    79
     ᯮ ਣ᪨ ⮦⢠:

     cos7 0A + cos7 0B = 2 cos[(A7 0+7 0B)/2] cos[(A7 0-7 0B)/2] ,	     (22)

     cos7 0A - cos7 0B = -2 sin[(A7 0+7 0B)/2] sin[(A7 0-7 0B)/2] ,      (23)

   (20)  (21)  :

			      - 5 -

  7(
  720 7a410 =  7a41o0 [cos((7w5+0 + 7w5-0)t/2) cos((7w5+0 - 7w5-0)t/2)] ,	 7  0  (24)
  7*
  720 7a420 =7 0- 7a41o0 [sin((7w5+0 + 7w5-0)t/2) sin((7w5+0 - 7w5-0)t/2)] .    7 0  (25)
  79
 2 mex12-02.pcx 100 80
0
      7a410  7a420   .2
	    2











			      .2

      	 ,	  2t0 = 0 㤠 7a42o0=0;  
祭 ६ 7a420 ,  7a410    ,   
६, ।塞  ᮮ⭮襭 1/2(7w5-0 - 7w5+0)t = 7p0/2 -
 7a410  ⠭ ࠢ ,   㤠 7a420 ⨣ ᨬ㬠,
⠪   ,    ଠ  -
.	 砥 ⭮  ଠ  ,  祭
	"+",  ⭨  ,  㦨  ,	
 ⠪ ,     筮 樫.  砥 -
⭮	  ଠ   ( "-") 㦨 ,
 㢥稢  ⮩  .  ᫨ ᬥ  ⮫쪮
  ⭨,     ଠ  , -
  ।񭭮 ⭮⥫쭮 䠧.
      ᪮  ⭮    -
 ⭮ ,  ⭮⥫쭠 䠧 . १ -
஥  ६   ଠ     ⨢䠧,
㤠4 7a41 0㯠  ,    ६  㤠 7a420 ⨣-
 ᨬ㬠  ..
     ᬮਬ   ࣥ᪮ 窨 ७.  2t = 0
 ࣨ ।祭  ⭨ 1,   १ 裡 १

			      - 6 -

㦨, ࣨ ⥯ ।  ⭨ 1  ⭨ 2
  ,    ࣨ  ᪮  ⭨ 2. ६ -
室   室 ࣨ  1  2  ⭮  
 ࠢ:
i1.0
		  1
		  50 (7w5-0 - 7w5+0)t40 = 7p0 .
		  2

      ,  ன 樫 	ࣨ,
室 ⠪:
			     27p
		    7w47 0=7 07 0=7 w5-7 0-7 w5+0.		   (26)
			    t4
i0

  뢠 ⮩ .

     _ਭ樯 ࠡ ਡ.  ⮨  ⮬,   
 ,  ᮥ   㣮 㦨,  ⭨, ⮨
 㬬  ᨭᮨ   ⠬  7w410  
7w420.
     祭       ࠬ஢  ⭨  (
,	 㧮,  ⪮ 㦨    ९ -
),     砫 ᫮  .
 饬 砥, ᮢ騥  ⭨, ࣠  -
 "".
      㦤   易 ⭨ 譥 ᨭ-
ᮨ쭩 ᨫ,  饩    ,   ⭨ 
ᮢ   ⮩ 譥 ᨫ.  砥 ࠧ 
⭨ १  㤥  ⮣,   
 ᮡ⢥  易 ⭨ 㤥 ࠢ  -
,  㦤饩 .  ⮬ 砥  "㣮
१":
  7w410 - ᮡ⢥   1- ⭨,
     7w420 - ᮡ⢥   2- ⭨.
      ࢮ  १  ⭨    䠧,
 㣮 ⪫   ⭨ 㤥   
㤥  ᮡ⢥  7w410   ⭨.
     ⢥   ⪮ ⭨  7w420 >  7w410.  
୮ १ ⭨   ⨢ 䠧,	
 㤥  ᮡ⢥   ⪮ ⭨-
 7w420. ࠬ 㣮࡮ १  ⠪  ࠢ

			      - 7 -

ࠬ ⭨.
      ।⠢ ࠬ, ॠ஢  ।⠢-
 "" ⭨.
      ६  㤠 ⪫ ⭨  ।
 3 mex12-03.pcx 100 80
	    3











			     .3.

    ᨬ㬠.
     ਮ "" (20 )   ஬⮪ ६
   ।묨 ᨬ묨 㤠  -
.

 4 0mex12-04.pcx 100 80
	   4










			     .4.


			      - 8 -

	  _।  ᨭ䠧  ⨢䠧
		 _ 易 ⭨.

     ७  ᨭ䠧  믮  ᫥-
饬 ᯮᮡ:
     - ⠭  ,  ९騥  㦨    孥  
ভ,    ⭨   ﭨ (-
   㦨).
     - ᮥ  㦨    , ᮥ饩  ⭨ 
ভ, 㦤騬 ,
     -  <>,
     - ⪫  ⭨   ஭  让 㣮  -
 ,
     -  <>,
     -  ਡ஬ 10 ਮ    <>,
     -   ஢  ६  ⢮ ,
     - ᫨  ᨭ䠧  易 ⭨.
     ࠪ᪮ ७  ⨢䠧  ७  ஢
筮,   ७ ᨭ䠧 ,   ⭨ 
⪫  ⨢ ஭   㣮.

   _㦤 易 ⭨ 譥 ᨭᮨ쭮 ᨫ

   ⮩ 楫 :
     - ⠭ 㦨   ᮥ  ভ, -
㦤騬 ,
     -  ⠭ ⥫,
     - ॣ㫨   ⥫   
⭨,
     -   ⭨   㤮  2050 ந-
  १.

	  _   易 ⭨

     - ᮥ 㦨   ᮥ饩 ⭨  ভ,
㦤騬 ,
     - ⠭ ந ࠬ ⭨,
     -   ⭨ ⪫   㣮  ,
     -  ந室饥 .

			      - 9 -

		       _믮 ࠡ.

      ୮  ࠡ ॡ  ᮡ⢥ -
  易 ⭨,   ᢮  ⭮  -
宦 ଠ  7w5-0  7w5+0 . ᫥ १ 易-
 ⭨.
   1. 㦨 ⭨,  ⪫   让 㣮
(7`01050).  ᫥ 祣   ⭨   ᥪ㭤-
஬ ६ 2t0,   ஥ ந室 2n0 ,     㫥
7w5+0 = 27p0 n/t  ଠ  .  ७ த-
    ࠧ.
   2. 筮  1  ଠ  7w5-0 -  -
⨢䠧 .
   3. ⪫ ⭨ 1, ⠢ ⭨ 2   ࠢ-
 (ਤঠ 㪮), 㤨 ᨬ   㡥-
,   ।⠢ ᮡ .
 㫥 7w40= 27p0 n/t ।  .
   4.    3  7w40 ࠢ  7w40, -
⠭  㫥 7w40 = 7w5-0 - 7w5+0.
   5.   ଠ  ।  㫠 (18)  (19).
  祭 稭:  2m0 -  ⭨,4  2k0 - ⪮
㦨 -   孨᪨ ࠬ ਡ; 2l40,2l4,7e0 - -
  . ࠢ  祭  稭, ।-
묨 ࠪ᪨ ( .. 1  2 ).
   5.   ⠭ FPM-13, । 7w5-0  7w5+0 ᫥ -
 易 ⭨ 譥 ᨭᮨ쭮 ᨫ.

	 _஢ઠ 筮  ࠢ쭮 ࠡ ਡ

     ஢ઠ ந  ᭮   ࠡ祩  -
  ।  ᨭ䠧  7s410 易 -
  ᫥饩 㫥 :
i1.0
			 4+	+
		       72w4x7 0- 7w41 72
		 7s417 0= 4 0100%
			   7w415+
i0
: 7w4x5+0  - 祭  ᨭ䠧 ,  । 
७,


			     - 10 -

     7w415+0 - 祭  ᨭ䠧  । ⥮-
᪨.
     筮 ஢  ஢ઠ 譮 । -
 ⨢䠧 7 s42.
      砥 ࠡ 譮⥩  8% 室 ஢
ࠢ쭮 ࠡ 奬 楢 .    ⮩  楫
 ⢨      ࠢ  ७
FPM-13,  ⥬   ᨣ  窥  I.
     祭 ७   ࠢ 10.

		       _筮 ७.

     - 筮 ।  ⭨  	2 
     - ࠡ 譮 ७ ६   0.02%
     - ࠡ 譮 ।  ᨭ䠧
        ᮯ殮 ⭨  	  8%
     - ࠡ 譮 ।  ⨢䠧
         				  8%

		 _孨᪨ ࠬ ਡ.

     - ᨬ쭠  ⭨		      500 
     - ᨬ쭮 ⪫ ⭨  ⨪7   +0305
     - ⢮ 塞  㧮 		   3
     - ⢮ 塞 ஢ 㦨		   2
     - ਥ஢筠  㧮:
        030I-0098-0I			      0.1 
        030I-0098-02			     0.15 
        030I-0098-03			      0.2 
     - ਥ஢筠 ⪮ 㦨:
       㦨 083I-009I-0I			      5 /
       㦨 083I-009I-02			      7 /
     - ᨬ쭮 ⢮ 塞 
       ⭨					  99
     - 㤠 ᨭ䠧   		 205
     -  ७ ६		  1-99999 

			     - 11 -

		       _஫ 

     1.  ⥬ 뢠 易묨?
     2.  । 騩   易 ⭨ ?
     3.      ⪮ 㦨  窠  ९ 
	ᯨ?
     4.  뢠 ﬨ?
     5.  ।  ?
     6.   砥  १?






		       _᮪ .

     1. 쥢 ..   饩 䨧. 堭. " 㪠", .,
1986.


.



		᪨ ࠪ⨪  堭
		      ⮤᪨ 㪠







     ⠢⥫:         ⫠ ᮢ
		         ᠭ 
		           










	 ᫠᪨ 㤠⢥ 㭨. 1997
.
