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Воронежский государственный технический университет

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[НЕСОРТИРОВАННОЕ]

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6.# / . 1 /0 3 3 : 2

1 6.

01 3 4 4 & 5/ 1 1 .2 1, / 0

. 0 . 1 - 2/

3 1 3 . /4: 3 1 4 0 3 / 4

2 1 6 5/ 1 1 .2 1 / 1.

2.6.2/ 2

/ 3 4 1 1 1

# 1 1 / / 4 3 / 21 - 2/

' . 2.18 3 . / 4 3 / 4 21 2/ - 3 /4 1 & 3 4 1 1 1. 7 1

1 1 M 0 (α ) . 1

3 / 4 21 r , 3 1 4

., /0 3 1 1 6 2 /

3 4	1:	ryd = ryq = 5.0;	xad = xaq = 0.6;
xσ = x ydσ	= x yq = 0.1;	ε = 0.5; H = 20;	km = 0. #

3 / . 1- 3 3 /0 3 3 41 3 ., 1 4 -4

/0 1 3 / 1 3 4 1

. 1 3 21.

!. 3 . 1 /, 1

3 / 4 r 2/ 0 1 4 1 8 4 2 / α . 5 1 9 1 2/ 1 4 .1 4 4: 1 06 4 2/ 2 1 6 1. , 3 r = 0.3 1 1 1 /0 1

/4. . 4 3 2 0 1 6

1 r 1 06 4.

.	%0	III
	%0	III
0.5
			α
0			1.0 . .
		1 2345	1.0 . .
-0.5			I

.			III
.	%0		III
	%0

0.5

						α
0

				1.0 . .

		1 2345
		1 2345

-0.5					I

-1.0	)	2)
	)	2)
	#. 2.18. 7 1 2/ /
	3 / 4 21 : 1 – r = 0.1;
	2 – r = 0.2; 3 – r = 0.3;– r = 0.4;	4 – r = 0.5;
	) γ = f(α) 3 Mm = const;	2) γ = α

/ 1 . 3 / 4:

3 3-/0 3 1	M m = const .
. 3 4 4	(α < 1.0)	2 /

2/ 3 4 1 . 4 ., 3 1 1 1 /0 5/ 1 8 :8 1 1 3 4 3 4 1. / 1 4 0

. 4 1 4 4 1 06 3 3 3-/0 1 . 3 / 4.

7 1 2/ 2

3 / 4 21 //: : 4

.2.19. 1 M 0 (r) . 0 1 4

/ 4 139 21 - 2/

. 5 1 / 3 / 4 21 .1 4: 4, /0 3 1 :

1 1 / :.

4 1 6 2 3 4 1 3 / 3 4 1 .

. .	%0						. .	%0
. .	%0			III			. .	%0				III
1.0


							1.0





0.5							0.5

						r									r

							0

0


		0.2			0.4 . .				0.1		0.3			0.4 . .




-0.5							-0.5					4	5

			1 2 3 4 5

									1 2 3
									1 2 3
-1.0	)						-1.0			2)
-1.0							-1.0

#. 2.19. / 4 3 / 4 139 21

2/ 2 3: 1 – ryd = ryq = 10; 2 – ryd = ryq = 5; 3 – ryd = ryq = 2;

4– ryd = ryq = 1; 5 – ryd = ryq = 0.5; ) = 0.1;2) = 0

!./ . . 2.19 1 3 / 0 . 1 0

- 2/ 1 4 /

3 / 4 139 21. 1

1 1 1 3 . .1 4 r 1 06 ryd = ryq 3 8 : 2/ 1 4.

& 3 / /0 1 139 / 5 / 4.

#. 2.20 3 9, 1 06

3 / 4 139 21

3 6 0 2 1 6. 1

/ ε = 1.0 , /0 3 1 :

3 8 1 / :. 1 06 3 / 4 139 21 3 / (0.02 1

/) 3 3 4 / : 3 / /0 2/

. 0 1 / 1 1

.1 / 4 4 3 1 1 6 ( ryd = ryq )

3 41 3 3 / 1 2 1 :. 1 4 1 3 2 - 1 2 / 3 /

3 8 1 3 9.

1 3 / - 2/

1 M 0 (α ) 3 /

. 2.21. 1 1 6 5 1 /

:	r = 0.21;	ε = 0.7;	xad = xaq = 0.6;
xσ = x ydσ	= x yqσ = 0.1;	H = 20; km = 0.	0 1 1

3 1 1 4 /4 4 3 / 139 21. / 1 6 5/ 1 1 .2 1, .

ryd	= ryq			= 1000.0			5 /			:					139
21 .

. .	%0									. .
											%0
							III				%0						III
1.0


										1.0	I
										1.0	I


0.5										0.5
0.5										0.5								II
		I					II											II
		I					II	r					II			1
								r					II			1				r
0										0										r
0										0
			0.1		0.2			. .				0.1		0.2					. .
			0.1		0.2			. .				0.1		0.2					. .
-0.5
-0.5									-0.5
									-0.5
						1	2								2
						1	2								2
-1.0
-1.0									-1.0
									-1.0
					)									2)
					)

	#. 2.20. 7 1 0 2/ /

3 / 4 139 21: ) 1 – ryd = ryq = 5.0; 2 – ryd = ryq = 2.0; 2) 1 – ryd = ryq = 0.05; 2 – ryd = ryq = 0.02;

1 06 ryd = ryq / 0.5 8

3 6 0 1 6. /

2 4 1 6, / / 0 , 3 4 3 5 1 M m = const.

. .	%0		III						%0
. .	%0		III					. .	%0				III
								. .					III

0.5
								0.5
											II

				7 8

							α		I
															α

0

								0

	I	0.5				1.0 . .

														1.0 . .





-0.5								-0.5
-0.5					123456			-0.5				1 2 3 4 5 6




-1.0

								-1.0



			III									III
												III
		)								2)

#. 2.21. 7 1 0 2/ 1

%0(α) 3 1 139 21: 1 – ryd = ryq = 1000; 2 – ryd = ryq = 10; 3 – ryd = ryq = 5.0; 4 – ryd = ryq = 4.0; 5 – ryd = ryq = 3.0; 6 – ryd = ryq = 2.0;

7 – ryd = ryq = 1.0; 8 – ryd = ryq = 0.5;

) γ =α; 2) γ = f(α) 3 Mm = const

! . 2 1 0 3 /0. 0 3 / : 139 : 21. ' . 2.22 3 . / 4 3 1 3 21 3 3 /0 3 3 41 - 2/ . 1

1 6 3 4 3 8 1 /, /0 r = 0.2 ε = 0.5. # . /0 / . 3 . /4:

. /: 0, 2/ 0 1 4 1 1 /0 3 / 3 / 3 21. / 3 4 21 1 4 /0 3 3 /0 , 2/ 0 1 4 . /0 6 4 4. / 4

.1 2/ 1 4 3 / 3 21 /0 3 3 3 , 3 / 4

- 2/ 1 4 5 1 / 2 1.

1 2 . 1, / 3 . 0 3 3 3 21 2 / 2/ 3 4 1 /4 2 3 4

2 1 6, 1 3 /0. 8 2 / 599 3 / 3 21.

. .

0.5

-0.5

-1.0

										. .
	%0			III						. .	%0				III
	%0			III							%0				III


										0.5
					1					0.5


			II					2					II
			II					2	I				II				I		I

										0


		I	0.5				1.0 . .					I	0.5			1.0		. .




										-0.5


										-1.0
			)											2)
			)											2)
#. 2.22. 7 1 0 2/
#. 2.22. 7 1 0 2/														3 1
						3 21 3 41 d q.
	) 1 – ryd = ryq = 5; 2 – ryd = 5, ryq = ∞; 2) ryd = ∞, ryq = 5

3 / 1 3 0, / 4:

3 / 4 . 1- 3 3 /0 3 3 41 - 2/ . #. 2.23 5 / 4. 1 1 1 1 6

: r = 0.2; ryd = ryq = 5.0; xσ = x ydσ = x yqσ = 0.1;

H = 20; km = 0; ε = 0.5.# 1 4 3 3-/0

. 3 / 4. &/4 . 2.23, 2

6 xd / xq < 1, /4 & /0 1

3 / 1 3 4 1 3 21.

6 1 2?4 0 1, , /

2 1 6, 2 /06 / 4 . xd

. 3 1 0 4 4 3 /: 2 61 [15, 114].

. .
. .	%0			III					. .			III		4		3
										%0




0.5									0.5
					1
			2		1			α
			2					α									α
0																	α
0									0		I
		0.5				1.0	. .		0		I	0.5			1.0	. .
		0.5				1.0	. .					0.5			1.0	. .
				II
				II
-0.5									-0.5
-0.5									-0.5

													II
-1.0									-1.0
-1.0									-1.0
																4
	III									III				3		4
	III									III				3
-1.5									-1.5
-1.5	)								-1.5			2)

#. 2.23. / 4 3 / - 4 4 2/ 3 1 3 /, :

1 – xad = 0.9; xaq = 0.6; 2 – xad = 0.6; xaq = 0.3; 3 – xad = 0.3; xaq = 0.6; 4 – xad = 0.6; xaq = 0.9

5 1 2/, . 1, . 4 1. 1 /0

/ ( M 0 = 0 ) 1 .

1 3 . .1 4 . 2/ 1 4 1 : 1 /0 1, 1 1

2 1 8 2 /06 1 1 ..

1 6 5/ 1 1 .2 1 . 1 2/ 1 4

. / 2/: / 0.

' . 2.24 1 / 4 ./ /

6 xd / xq - 2/ &

3 4 1 1 1 3 ./ .

3 / 4. 3 1 1 6 / 0 2 . .1 4, /0 ε = 0.7 ryd = ryq = 2.0. / .

. 2.24, , 2 / 2/ 3 4 /,

. 4 1 1 1 2/ 1 4, 1 1,

xd / xq < 1. / xd = xq 2/ 0

1 4 /0 / 4, 4

2 /06 . 4, xd / xq > 1. 7 / 4

, /4 3 8 4 , 2 / 3 4 1, 5 3 / /4 & /0 1 3 / 1 3 4

1 3 / (xd = xq ). 1

6 4 (2.70) /4 / 4,	xd ≠ xq
/ . 1 0	M 0 = const .

8 .1 / / 2/

. 2.24, 2 3 4 /4 4; 3 . 4 3 2 0, 2 3 / .

1 /0, 8 3 6 4.

/ 4 3 .2 ε 2/

1 -0 . . 2.25 – 2.27. !. 5 /, 3 1 1

4 3 1 1 6, /

3 .2 ε / . 2 6

2/ 1 4 1 1 / 1

3 . 3 2 1 6. ' 2 1 1 0, 5 1 / 2/ 0 1 4

6 4 4 /0 8, 1 /0 4 2

1 6 1 3 .2

4 .1 / 60 3 0 599 1 139.

#. 2.24. 7 1 0 2/ - : 1 – ad = xaq = 0.6; 2 - ad = 0.6; xaq = 0.9; 3 - ad = 0.9; xaq - 0.6

) γ=α; 2)γ=f(α).

#. 2.25, 7 1 2/

3 / 4 21

3 ./ . 4 3

.2 ε ryd=ryq=5.

#. 2.26. 7 1 2/

3 / 4 21

3 ./ . 4

3 .2

ε ryd=ryq=∞.

#. 2.27. 7 1 0 2/ 3

.2 3 ryd =ryq 2.0, ) γ =α; 2) γ =f( ) 3

% = nst.

#. 2.28. 7 1 0 2/ 1 3 4 8 :8 4 1: 1 - ' = 20; 2 - ' = 500. ) γ =α;

2) γ =f( ) 3 % = nst.

100

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