23232_Chertov_a_g_reshebnik

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Волгоградский государственный технический университет

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0 2& - () %, 2&+ "h, -! f2-" %h' $ %U - '%\% !# \ &- jk #

m\ &- #j5+0 #"#%,! $! #\h"1' o

M1V M2U = 0;

M1V M2U = 0;

.pdf

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M1V1

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;

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U1 1I

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U1 =

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M1V12

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M1U12

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T2 =

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U2 =

M1U1

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(M1U1)2

M12U12

T2 =

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500

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M1U12

M1 + M2

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0 ! 2&-&," o-()

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124 = 4 U1 + 6 H

U1I

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U1 = 0; 8 + 4; 2 = 3; 4 V= Z;

U2 =

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2 = 3; 6 V=Z

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104

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FMAX =

L = 9; 72 104

0; 12 = 1; 17 103

C F

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$4 U

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T =

= 2

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T =

3; 14

35 103 4

= 0; 94 Z:

9; 72 10

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;

V1 = 1

TB !

M1 = 5

M2 = 2

; V2 = 0

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U1; U

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0 !#%, !# h\& ' #"1 o

M1V1 = M1U1 + M2U2 (1)

0 !#%, !# h % f#"\% A \%# f o + !%

M1V12

M1U12

M2U22

(2)

>?()%, js ! o

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U2 =

(V1 U1)

M1V1

= M1U1 + M2 M2

U1)

(V1

= U1 +

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= U1

V1U1 +

&, , ! o-: * %,

%, !- &,"

U1 U

1 +

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V1U1 +

1 V1

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12 = 0;

= 0

7 7

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= 1 V=Z

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& %, '! 5#>?(o9%-! @B %2.

U1 =

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TB !

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;

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CC CC CC

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400

(0; 02)2

1 +

400

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250

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V = 300 V=Z;

M2 = 200 ;

K = 25 =V:

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M2U

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U X = R

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0; 2

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300 = 0; 042 V = 4; 2 ZV:

0; 2

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IKJ LMJ$N=JPOS

TB ! K =U500

=V;

F = 100

;

L = 2 ZV = 0; 02 V:

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fg 1 2 H\ !

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KX22

KX12

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= F=K

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5+T6" 2. ;

= X1 + L =

+ L

0 &, , ! o

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K L

500

0; 02

2 100

+ L ;

A =

500

+ 0; 02 = 2; 1

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;

K2 = 1

;

TB ! K1 = 0; 5

L = 4

ZV:

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K L2

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K1 L2

K2 L2

(K1 + K2) L2

(500 + 1000) (4 10 2)2

= 1; 2

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IKJ LMJ$N=JPOS

TB ! K =U800

=V;

X = 6 ZV;

X = 8 ZV:

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A =

fg 1 2 H\ ! 3 , *& %' fjb() k\%#4$js

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1 =

KX2

2 =

K(X + X)2

;

0 &, , ! o

A =

K(X + X)2

KX2

K[(X + X)2 X2]

;

A =

800 [(0; 06 + 0; 08)2 (0; 06)2]

= 6; 4

IKJ LMJ$N=JPOS

H = 8 ZV:

TB ! LU= 3 VV;

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6 P

> \ % - 2&,o \%#, !$jk jb, b b & 41F =- MG ! ?f %#+\ $&, , %,! o!-

	F = MG = K L
fg M H oK ! f %# $K H j $\%# $jk'				(\ 5)0* % qfl-%#()$H \!%#($jk ,
5R>g"; , ! 1or or \# !1- % 3or , *& %' f , #";f" %# $
jk oK ! L2					= MG(H	+ L2)
\ % $ -\# ! 3 , & %' fgjs# \%# $4jk ( U


		MG(H + L2) =	1	K( L2)	2

			2

0 MG!- &,"#\ % o- f b \%, &,!- , ! o#"

L(H + L2) = 12 ( L2)2

( L2)2 2 L L2 2 LH = 0

( L2)2 0; 6 L2 4; 8 = 0

-: * %, %, Q!- or b -: b% @B #" U

L2 = 0; 3 (0; 3)2 + 4; 8 = 0; 3 2; 21 ZV:

>?( %,\! &o jk # 2& ' ()41 $ % ' U

L2 = 0; 3 + 2; 21 = 2; 51 ZV:

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IKJ LMJ$N=JPOS

;

TB ! K =U150 =V;

M = 8

X = 4 ZV:

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K A

0 ! 3 , *&% 'f ,#"1"\%#gjb$jk 4(

K X2

0 %$ \%# 1- () 2 % 2&+ -s % f\ &

K X2

MV2

C E

[ +\ &, , ! o

K X2

V = S

V2 =

;

V =

150

0; 04 = 5; 5 V :

S 0; 008

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IKJ LMJ$+QSN=JPO

TB ! M =U

16 = 1600 ;

V = 0; 6 V=Z;

L = 8 ZV = 0; 08 V:

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^`_ ab_ c,d _

V-

C C

> or or # B !

- k-: !f % \f, " f \6 % ' 4 \-! 3 ,# *&" '

( U

MV2

K( L)2

% fgjb \%# #"$jk

fg L H % oK \!3%# $#"jk [ (? 5+\ &, , ! o)U

K =

MV2

1600 (0; 6)2

= 9

105

( L)2

(0; 08)2

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IKJ LMJ$=O,SN=JPO

TB ! Z U a c d d,cYgW H = 20 ZV:

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AAA

[ ! , * ! A3 M & f s%,%,R*5 #

0 % k ()-: ! \ !h3 &3 , *& %%,'MGf ,H #"\"f% : # -6 % . f \ ! \ ! : 2& 'A- %,f 2& ' f b - #j #%, ! #" 5 0%#"f ! $ #

MGH = MV2 + J!2 ;

2 2

2 5

fg or or # k % 3J = 13MR & %, b%, !-

>?()%, jsfi&! o -!$ % 'k3! &% 6 V%,\$ %\ ! &' ' f b - #j

0 &, , ! o				V = !R;			! = V=R:
			1		1				MV2		MV2		3			V2
	MV2						V	2
MGH =		+		MR2				=		+		=		MV2;	GH =	3	;
	2		2			2	R		2		4		4			4

	4		4		V= Z:
V =		GH =		9; 8 0; 2 = 1; 62
V =	3	GH =	3	9; 8 0; 2 = 1; 62
				C D

IKJ LMJ$t SN=JPO

;

D = 30 ZV;

TB ! UM = 12

;

' = A + BT

+ CT

= 4

W$X!YB

W$X!Y=Z

;

Z3 =

;

C = 0; 2 W$X!Y= ;

T = 3 Z:

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^`_ab_c,d_

# k

0 %, !-

m * 2& ', !or 1 f b-%,-#j #" or or

M = J "

fgJ Hor or

# k

% 3 3 &" Hfg&- %,$% 5

1 ! ; 3 &%, % 2 !f , ;%, ! "R = D=2 ! 9-%,B #"

\ oM A f sor or # k % 3 1%, !-

J = MR

MD2

e]fg&-: "A$% 'k h fg&- $% 63 &

! = D' = (A + BT + CT3)0 = B + 3CT2;

" = D! = (B + 3CT2)0 = 6CT;

0 &, , ! o

MD2

M =

6CT =

M =

(0; 3)

0; 2

3 = 0; 97 V:

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IKJ LMJ$N=JPOS

;

TB ! UD = 60 ZV; M = 2

T = 3 Z; ! = 9 W$X!Y=Z:

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&%F

6 ?

M ?MG


)f %#$r 4 ] &+ "#j-!MG &+, *"#j #"F 5 0-@B! % oM# %, !'# ,
:$% f %#$s%, !-							F
	A = MG F			= G			F	;
	A = MG F			= G				;
	M					M
v &+	, *"#j \% & j#";@B # %,, A ! #j s oK:- # ! + or or& (#M = F R =
F D=25,0	- oM s %, !, !or A-2& '-%, f-#j #"h f
$ -b%, !-					F D
	" =	M	=		F D
	" =		=		2J
		J			2J

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