Добавил:
Upload Опубликованный материал нарушает ваши авторские права? Сообщите нам.
Вуз: Предмет: Файл:

элтех_дз_1

.pdf
Скачиваний:
17
Добавлен:
23.03.2016
Размер:
995.42 Кб
Скачать

1

. .

. .

! "#"$

%& ' "( ) #" "$ * 1 & !+ ! «+ , " -+ "»

& «" . %, / & . &$) "»

"

# " 0 . . "! " "

2010

2

 

) ".

 

 

 

 

 

+.

……………………………………………………………

….

3

1.

+1" "( ) #" "$. %2 + , %, " %,…….

3

2.

! "#"$…………………………………………

….

5

 

2.1. " / & &+ & + & 0# "

 

 

#" +,) 3"………………………………………………

….

5

 

2.2. " !+"$ 2" " " 4 .………………….

6

 

 

2.3. " / & !+ %, ………………

7

 

2.4." / & 1!# ) "&+$1$……. 8

2.5." " / & -" ) ) +" +"……. 10

 

2.6. 5 + & / " 0 . ")+" %………………………

13

 

3.

+ 0 % &+ %……………………………………………

16

4.

& + ! . +" !+% …………………………….... 17

 

 

5+ 1 1.

"2 /" , %, " %,……………………

……...

18

5+ 1 2.

2+"# / ! 0 ) "………………………

……

30

3

.

6 0' ". +"2 % $ $'$ - #! " " #" -+ , / & . &+ #" " +,) 3", &+ # %, "&+$1 . #" " %, -+ ,

/ &$, +"# % ".

1..

1.1.+ "+ " " "( ) #" "$, "+ " 0 #" " !' , ! %& " 0 , % % " % # "2 /%, &+ . &+ 1 1.

1.2.$ #" " . , % " 0 ! !+" . & #" " +,) 3", & " 0 % # "$, !'4

+" " + " ! "+ " ! #" "$, , & 0#!$ &0' +, &+ 0

$, , %.

1.3.7"& " 0 !+" 2" " " 4 . $ , . , %, 5 " 0 # % % # "$ / 0 0 !'

& )+ ( 0 +" ".

1.4.$ , . , % " 0 ! !+" . & !

!+ %, , & " 0 % # "$ , & 0#!$ &0' +, &+ 0 $, , . , %.

1.5.5+ 2+"# " 0 , !' -+ !' / &0

-" !', #" &" %. + !) 0 + # + R4, R5, R6 -" . # # .. " + 0 & ! !' / &0 -" .

# # . & "#" 0 " . .

" " 0 & ! !' / &0, & 0#!$ 1!# ) "&+$1$ ( !, !#). &+ 0 , !'4 & + " " 0 . ,.

1.6.&+ 0 + # + R6 -" )

) +" +". & " 0 & ! # " -) " + #! 0 " " +" " ) +!) ".

1.7.&+ 0 & "#" 0 +", ! "#" ) , . ,.

1.8." " 0 & + 0 & / " 0 !' ")+" ! $

( ) !+" , . , %.

1.9.& " 0 +" + % % +" " -+ ,

/ & ., " 0 !'4 % %.

5 +$ %&$ +"-)+"3. +"2 %.

1."+ " #" "$ %2 +"$ ! # "2 /%, &+ .

&+ 1. + "+ " " ! +!, & +%

! #"& " 1!+ " "+ % )+!&&%.

2."-)+"3 "$ +"2 " %&$ $ " ", 4 , 1 " 0, & 0# " &0' +". 2+"# / 3 +$

4

! 0 ) " &+ &+ 1 2.

3.5 + %& + ) &! " #" "$ 2,

"& " 0 #") &$0, % 2 +" 0 " 0 " 0(. 5+ %& % . !: &+ +" !' 3 + ! !, & " 0 % # "$ , , , $4 , 3 + ! !, #" - ! "#" / # +$

.

4.& 0#! % 2 # "$ 3 + ! ", " , ", 1 %

" 0 !.

5."2 " " ( 2 " %&$ $ ! . +" /%, + )"$ !1 &+ + ) &+ & " " " + " ".

! "& " 0 #") «"2 " " ( 2 "» "

%&$0 +"2 ! " ( 2 ", #" &+ $ &+" % + !, 3 + ! % +" %.

6. + " & + ) "( ) #" "$ – 8 $.

5 ! "#" ' &+ & " "$ 0 % &! % #" "$ )! 2% 0 &!4 %.

5

2.1." / & &+ & + & 0# " #" +,) 3".

& + &+ #" +,) 3" & #$ ! " 0$#0 # %, , $, #" " % " &+ # %, &"+" +", / & % !+" .,

+ ( +%, " # " , . 5+ "

-, !+" . %&$' &+ !' & " 0 0 ... " + " &+ +" -+ !' / &0, # 2+"1 !' "

+. 1. " " " 2 # " " , + " . "&+" , #" " &+ # 0. # %, +" " + " . ,

+" (. $ &+ $ ( # %, 2, " 0 & #" " +,) 3" ! # ( !+"..

+" " + " . , %+ !# " (! = 4) ( 0 . (b = 6). ! " # $ % 3 + ! +!$ !'4 2+"#:

" ) 2+" "$ ! " , , , $4 ,$ !# ! / &, +" " ! ':

± IK = 0 .

, "&+" % !# ! &+ "' & 1 0 % #"& % "' # " & ', " !# " + /" 0 %.

5 & + ! #" ! +,) 3" ! " 0 (! - 1) #" %, !+" ., 0 " /! 0(, !# ,.

$ '2%, + , !# , % (+. 1) & !:

 

$ !# " 1:

I1

- I4 - I5 = 0 ;

 

$ !# " 2:

I2

+ I5

- I6

= 0 ;

(1)

$ !# " 3:

I6

+ I4

- I3

= 0 .

 

. 1

' # $ % &+$' #" ! % !+". 3 + ! +!$ ": '2 #" ! !+ " ) 2+" "$ ! "

$, !+" +" " " ) 2+" . ! &" . "&+$1 . " ,

+ # +",, , $4 , - !+, . .

6

±EK = ±RK IK

(2)

-. 24 &+$. #"& ! 2" 0, # " «& '»

!+" (2) , $ EK &+ # $ RK IK , $ +%,

"&+"$ (! "#% " % , + ") &" "' %2+" % "&+" 2, " !+". 8 + ! " (2) +" &+ +"$ $

" " 0 !+", 2, & + ! 2+% "$ """

 

# 2$ $ "b". - ! " &+" !' " 0 (2)

2"$'

"&+$1 1 ! - " Uab

 

EK = RK IK +Uab

(3)

&+ - ! % "' &+ 1 &+" # ". $ / & , & "#" . " +.1, '4 . ( 0 ., 1 #"& " 0 ) " + ! #" ! +,) 3" [b-(y-1)] = 3 #" %, !+"$ $ + , #" %, #" ! %, !+. 5! 0 2! ! !+%, 2 # " % " I,II,III. %2+" "&+" 2, " , !+",, "&+ +, & , ! " . +, & !:

$ +, ) !+": R1I1 + R01I1 + R5I5 - R2I2 = E1 - E2

;

 

$ 1 ) !+":

R2I2 + R6I6 + R3I3 - Uab = E2 + E3

;

(4)

$ &+" ) !+":

- R5I5 + R4I4 - R6I6 = 0 .

 

 

+"$ (1) (4) "$' & !' ! !+" ., " %, & #" " +,) 3" $ #" " . , %. 5 " # %

% # "$ &+ ., "&+$1$ Uab , 2, , & 0#!$ &0' +, &+ 0 ,.

2.2. " !+"$ 2" " " 4..

$ &+ + &+" 0 %& ) +" " & 0#!' ,

" %. " +" + -+) , ( .

+" " + " . / &.

) " #" ! 1 !$ - 9 /", & %, % $'4 .$

/! + + # +", / & ( &+ ", -+ . -+)), 1 +"$0$ -+), "$. #" 1 +$ " & "-$. " " 4 0 +" " -+), +" , ! . /! +, !+" 2" " " 4 . &+ & " "&+$1$

 

 

= 5

 

 

 

±EI + mUab I = RI 2 .

 

7 0

 

- 4 0, " " "$ " / &0;

 

5

- 4 0, & + 2$"$ &" % &+ ".

5+ - , + # I

", "&+" "

&" " "&+" , ")" E·I

2 +$ # " & ',

" -+) ' / &0. &+ ! " ·I 2 +$ # " !, . . & + 2$ -+) ' # / &.

#" " "&+$1$ " ) #"1 ", ("&+ +, Uab " +.1), ) 4 0 &+ $ $ " Uab·I # " & ',

"&+$1 Uab I "&+" % +, &+ ! ",

7

"&+$1 Uab I , &+ , $4 . + # - , &" "' & "&+" ', &+ # Uab·I 2 +$ # " !.

5+ %& + " 0 %, +" 5 )! 0

" 0$. $ / % &" $ 5

%$'

0 !' & )+ ( 0

 

δ% =

Ρ − Ρ

100 .

 

 

 

 

Ρ

 

5+ %& +" " &0' + -" & )+ ( 0

1 "

&+ %(" 0 1% .

 

2.3." / & !+ %, .

!+ %, " " & 0# " #" +,) 3". 5 +" ' & + ) &+$ #" +,) 3"

!+ %, &+ 4, 2 " " 0( . +! 0', . . + 2!$ + (" 0 ! 0( !+" ., +" % !

#" %, !+ ,.

. 2

+" " + " &+ + (+. 2) , " + #" %, !+"

$ +" " !+ %, & + 2!$ + (" 0 ! 0

# + , !+"..

" + & " 0 0 + ($ #" " !+ %, .

1.7" " + " & 1 0 % "&+"$ $, , %

(I1, I2, …, I 6).

2.7" " + " & 1 0 % "&+"$ !+ %, (I11, I22, I33) #" %, !+", , % (1 " 0 2 & " . +, 2 &+.).

3.7"& % " 24 ! # n !+" ., ) n –

8

!+ %, :

I11R11 + I22R12 + I33R13 = E11

I11R21 + I22R22 + I33R23 = E22

I11R31 + I22R32 + I33R33 = E33 .

4.%$ -33 / % #"& " . % !+" .: R11 , R22 , R33 +" % "+ 3 . ! &+ . +" " + " ) !+" ("&+ +, R11 = R1 + R01 + R7 + R5 + R2); R12 = R21 , R13 = R31 , R23 = R32 +" % &+ ' , 24 .

$ ! "#" %, !+ . -33 / % 2 +!$ # " !, "&+"$ !+ %, , &+$%

" - 2 & " . +, 2 &+ ("&+ +, R12 = R21 = - R2 , . . +" &+ ' , 24 . $ & + )

+ ) !+ # " !).

E11 , E22 , E33 , # "$ +" % " ) 2+" . !

+" " + " ) !+". , +% &" "' & "&+" '

!+ % , 2 +!$ # " & ', " # " !

("&+ +, E11 = 1 2; E22 = 3 + 2 + Uab ).

5.5 "$ ". % % # "$ -33 /

! !+" . + (" . 5 ! " !+ % (I11, I22, I33).

6.& 0#!$ !+ % , %$ + " 0 % , $, , . , % (I1, I2, …, I 6).

" 0 %. +" " ) 2+" . ! !+ %, , &+ , $4 , + # +" " + " !' 0. !+ % ,

&" "'4 + " 0 % , 2 +!$ # " & '

("&+ +, I1 = I11 ; I2 = - I11 + I22 ).

2.4. " / & 1!# ) "&+$1$.

7" " !' -+ !' / &0 & + " " 0 ! !&+ 0, #" 0 -" ., & ) 2< % . !4

+"$.

, / &, & "#" . " +. 1, $ &" %. + !) 0 + # +" R4, R5, R6 , +%. 1 #" 0 -" . # # . + # +" R17, R27, R37 (+. 3), +% %$'$ & 3 + ! ":

R17

=

 

R4 R5

 

 

R27 =

 

R5 R6

 

 

R37

=

 

R4 R6

 

 

R + R + R

;

R + R + R

;

R + R + R .

 

4

5

6

 

 

4

5

6

 

4

5

6

 

9

. 3

5 ! "$ -" "$ , " " !# ". $ +" "

& 0#!$ 1!# ) "&+$1$. - ! " " + (" 0 % !+"..

%$ "&+$1 1 ! !# " 7 4 +" " + " . , %

U74

=

E1G1 + E2G2 (E3 +Uab )G3

.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

G1 + G2 + G3

 

 

 

 

 

 

 

 

 

 

7 G1 =

 

 

 

 

1

 

 

; G2 =

1

 

;

G3 =

 

1

-

&+

 

 

 

 

 

 

 

 

 

 

 

 

 

R + R + R + R

 

R + R

R + R

 

1

01

7

17

 

2

 

27

 

 

3

37

 

 

 

..

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

- %+"1, "&+" & + ! !# !,

 

2 +$

 

# "

& '.

 

$ "&+$1$

(Uab)

 

" 2 +

 

"&+" & + ! !# !, 2 +$ # " !, " + ! # " & '.

", # "$ "&+$1 1 ! !$ !# " U74 , & #" ! " $ " ) ! " " / & &+ $ $, &+ 2+"# " . , %

( I1 , I2 , I3

. +. 3):

 

 

 

 

 

 

 

 

 

 

 

 

 

I =

U74 + E1

 

,

I

 

=

U74 + E2

,

I

 

=

U74 + E3

+Uab

.

1

R1 + R01 + R7 + R17

 

2

 

R2 + R37

 

3

 

R3

+ R37

 

 

 

 

 

 

 

 

 

 

- %+"1,

 

"&+$1 U74

,

&+ 1

+" " + " . , &" "' "&+" " , 2 +!$ # " & '. I1, I2, I3 " % &+ 2+"# " . , . , ",.

&+ I1, I2, I3, +$ , . , (+. 1). 2%

&+ 0 I4, I5, I6 & 0#!$ & + % !+" # % (4) & + % +% - # (1).

10

2.5. " / & -" ) ) +" +".

-" ) ) +" +" &+$', ) " + 2!$ &+ 0

"&+$1 . 1 . / &. " 1

+ " 2 -" ) +" +, ! +1 "'4"$, '2!' . !'

-+ !' / &0, ! + + . . !' +% , 1 +" " + " 0 0 " . % . # " ) +" +,

+ ) +" " "&+$1 ' " #"1 ", / & &+ ' .

, ! "#" . , " ! + &+ R - , !

&+ ' / & + % -, #"1, &+ $! &+ !,

! " % #" % , ! + &+$ . 7"$$ -! 1 !' -+ !' / &0 -" ., $4 . 0

# &+ " (")+!#) -" ) ) +" +" ("

E =U ) ! + &+ R =R ), $ #" " ! #" ! " &+ ,+" &+ " " 0 ) -" -" .

/ & (+. 4). & #$ &+ 0 + # + R & 3 + !

I =

E

 

 

U

(5)

=

 

 

 

 

 

 

R

+ R

R

+ R

 

 

. 4

5! 0 + 2!$ &+ 0 I6 &+ R6 (+. 1)

-" ) ) +" +"

I6 =

E

=

U 23

.

R + R6

R 23 + R6

 

 

 

' , . , 0 &+ R6 #"1 2-3 &+ "&+$1 , ) , " U 23 (+. 5).

Соседние файлы в предмете [НЕСОРТИРОВАННОЕ]