nblib.library.kz - /elib/library.kz/jurnal/v_2006_1/

23 Z

Y

O O1

1 A

F 8

K

3

3 B

4

C 5

E

D

2

O2

N 7

M

X

yM

6

xO₂

z1

4

1

2

7

5 v5

y5

z5

x5

u₅ w5

w2

y₂ z₂

x₂ x6 u2

v2

u6 6

v₆ y₆ w6 z₆

y4

v4

z4

w4

x4

u8

y₈ v8

z8 w8

x₈

8

u3

w₃ v3 y₃ x3

z3

y1

x₁

v₇ y7

x₇ u7

w7

z7

zM

z_O2

xM

yO2

u4

.

VI -

1, 2 -

7:

t

t _{i i}

i

i 1 2 2

1 ,

(1) .

6 , 1

7 ,

7_{i i} t i

. -

-

. -

,

.

- [1]

2,

4 2

4 l

l

q (2)

l

4 – B C 4

:

2,

2 2 2

4 XB XC YB YC ZB ZC

l

X_B,Y_B,Z_B,X_C,Y_C,Z_C –

B C 4(BC) -

OXYZ.

13

ABCD [2] -

[3] , l₄ 4

:

1 792 2 3 4 5

8 9 10 11

5 12

C12 .

- :a₅₂,x_3B,z_3B,x_5C,z_5C,l₄.

24

2006. 1

1 1 1

,

7

,

2

,

5 2 2 1

,

7

,

2

,

5

q p f p f

3 3 1

,

7

,

2

,

5 4 4 1

,

7

,

2

,

5

p f p f

5 5 1

,

7

,

2

,

5 6 6 1

,

7

,

2

,

5

p f p f

1` 2 7 1

,

7

,

2

,

5 1 3 8 1

,

4

,

7

,

6

p p f p p f

1 5 9 1

,

4

,

7

,

6 2` 3 10 1

,

7

,

2

,

5

p p f p p f

2 4 11 1

,

7

,

2

,

5 3 4 12 1

,

7

,

2

,

5

p p f p p f

5 2 7

1, , ,

F . (3) - - q

. (3)

1 1 1

,

7

,

2

,

5 2 2 1

,

7

,

2

,

5

p f p f

3 3 1

,

7

,

2

,

5 4 4 1

,

7

,

2

,

5

p f p f

5 5 1

,

7

,

2

,

5 6 6 1

,

7

,

2

,

5

p f p f

1` 2 7 1

,

7

,

2

,

5 1 3 8 1

,

4

,

7

,

6

p p f p p f

1 5 9 1

,

4

,

7

,

6 2` 3 10 1

,

7

,

2

,

5

p p f p p f

2 4 11 1

,

7

,

2

,

5 3 4 12 1

,

7

,

2

,

5

p p f p p f

1, 7, 2, 5 0, 1, 6.

F i (3)

(3) -

p₆.

1i 1 2i 2 3i 3 4i 4 5i 5 6i 1 2

b p b p b p b p b p b p p

7_i 1 3 8_i 1 5 9_i 2 3 10_i 2 4 11_i 3 4 _i,

b p p b p p b p p b p p b p p B 1, 5;

i

1

,

4

,

7

,

6 ,6 16

,

46

,

76

,

66

,

ji ji i i i i j

b f f

1,5, i j

1, 1, 1, 4, 7, 6 1,6 16, 46, 76, 66 ,

j i j i i i i i j

b f f

6,11, j

1, 4 , 7 , 6 1,6, 4,6, 76, 6,6 .

i i i i i

B F F (4)

(4) i = 1, 2 i =j

[4] -

3 2

3 3

,

5 2 2 3

,

5 2 1 3

,

5 2

j j j

T p p p T p p p T p p p

3

,

5

0, 4, 5, 6,

T

j

p p j

(5)

3

3 3, 5 2 3 19 17 ;

j j j

T p p p p

2 3, 5

Tj p p

2 2

2 _j12 3 _j10 3 _j15 5 _j22 3 5 _j7 ;

p p p p p p

1 3, 5

Tj p p

3 2 2

20 3 11 3 4 3 16 5 5 5

2

23 3 5 21 3 5 1

j j j j j

;

j j j

p p p p p

p p p p

3 2 2

0 3

,

5

(

18 3 8 3 2 3 9 5

j j j j j

T p p p p p p

2 2

3 5 13 3 5 6 3 5 14 3 5 0

).

j

p

j

p p

j

p p

j

p p

j

) 23 , 1

; 5 , 4 , 3 (

,_m

, j m

j -

(5) -

p₁,p₄.

p₂ -

(5), -

p₃,p₅:

, ,

, ,

0

, ,

, ,

0

0 ,

, ,

,

0 ,

, ,

,

0 ,

, ,

,

5 3 52 5 3 52 5 3 51 5 3 50

5 3 43 5 3 42 5 3 41 5 3 40

5 3 63 5 3 62 5 3 61 5 3 60

5 3 53 5 3 52 5 3 51 5 3 50

5 3 43 5 3 42 5 3 41 5 3 40

p p T p p T p p T p p T

p p T p p T p p T p p T

p p T p p T p p T p p T

p p T p p T p p T p p T

p p T p p T p p T p p T

= 0, (6)

, ,

, ,

0

, ,

, ,

0

0 ,

, ,

,

0 ,

, ,

,

0 ,

, ,

,

5 3 63 5 3 62 5 3 61 5 3 60

5 3 43 5 3 42 5 3 41 5 3 40

5 3 63 5 3 62 5 3 61 5 3 60

5 3 53 5 3 52 5 3 51 5 3 50

5 3 43 5 3 42 5 3 41 5 3 40

p p T p p T p p T p p T

p p T p p T p p T p p T

p p T p p T p p T p p T

p p T p p T p p T p p T

p p T p p T p p T p p T

= 0. (7)

(6) (7) -

p₃,p₅. -

(6) -

11 p₃ [4].

,

11

0

0 1

s

s

s

p

(8)

0, ₁, ..., _{11 j,m} ,

).

23 , 1

; 5 , 4

(j m

11 -

p₃

3 11 5 10 5 9 5 8

11 5 3 10 5 3 9 5 3 8 5 3

S p p S p p S p p S p p

5 7 5 6 5 5 5 4

7 5 3 6 5 3 5 5 3 4 5 3

S p p S p p S p p S p p

3 3 5 2 5 5

3 3 3 2 5 3 1 5 3 0 5 0.

S p p S p p S p p S p

(8)

11 p₃.

,

11 0

0 1

s

s

s p

h (9)

25

h₀, h_j, .. ., h_{11 j,m} ,

).

23 , 1

; 5 , 4

(j m

11 -

p₃

3 11 5 10 5 9 5 8

11 5 3 10 5 3 9 5 3 8 5 3

H p p H p p H p p H p p

5 7 5 6 5 5 5 4

7 5 3 6 5 3 5 5 3 4 5 3

H p p H p p H p p H p p

3 3 5 2 5 5

3 5 3 2 5 3 1 5 3 0 5 0.

H p p H p p H p p H p

(8) (9) -

p₃.

p₃ (8)

(9), 108 ,

108 p₅.

,

108

0

0 6

k

k

k

p

s

(10)

k₀, k₁, k₃, ..., k₁₀₈ -

(8) (9)

, ,...,.

,

, ₁₀ ⁵_{5 9 5}⁵ _{0 5}⁵

3 5

11 p S p S p S p

S

5 5 0 5

5 9 5 5 10 3 5

11 p ,H p ,H p ,...,.H p

H .

(10),

p₅. - (10)

[4]. -

p₅ - p₁,p₂,p₃,p₄,p₆. ,

-

. -

ABCD :

1

3 p

x_B , a₅₂ p₂

3

5 p

x_C , z_3B p₄

5

5 p

z _C ,

6.

2 5 2 4 2 3 2 2 2 1

4 p p p p p p

l

1. ., ., .

. .: , 1959. 1084 .

2. . -

VI -

// . , 2004. . 5. . 9-12.

3. ., . -

. .: , 1986. 544 .

4. . . ., 2003. 431 .

i -

i i

-

. VI i i

i

i i .

Summary

The exclusion of unknown from the system of three power equations with three unknowns while solving task of synthesis of parameters is considered. Solving of task of the synthesis of seven parameters of a spatial mechanism of V class upon seven set positions of input and output links is shown.

621.01:531

. 3.10.05 .

B. .

- ,

, ,

, , -

. [1, 2].

- - ,

-

pH, -

[3].

– -

( ),

, -

,

- [4].