nblib.library.kz - /elib/library.kz/jurnal/v_2006_2/

20

2006. 2

Z

O₁

O ₁

x_D 1

A F

2

B

3

C

4

5

E

4

yD

z₁

x1

y₁

x₂ u₂

2

w2

z2 v2 y₂

y₅ u5

5

x5

w5

z₅ v₅

3

u3

w3

z₃ v₃ y3

x₃

w₄ y4

v₄ x₄

u₄

z_D z4

.

IV

IV

1 4:

i t

i 1

1 _{4i 4i} t, i 1,7. (1) .

, -

.

[1]

2 ,

5 2

5 l

l

q (2)

l5 – E F 5 :

2 2

2 2

5 XF XE YF YE ZF ZE

l ,

X_F,Y_F,Z_F,X_E,Y_E,Z_E– F E

OXYZ [2]. 23 . ,

.

13 AFED -

[3] , l_FE :

1 924 2 3 4 5 6

7 8 9 10 11

6 12

C12 .

- :

5 2 4 4 2 2

21

, x , y , x , y , z , l

c

_{F F E E F} .

(2) E,F

:

21

1 1 1

,

2

,

4 2 2 1

,

2

,

4 3 3

( ,

1 2

, )

4 4 1

,

2

,

4 5 5 1

,

2

,

4

q p f p f p f p f p f

6 6 1

,

2

,

4 7 7 1

,

2

,

4 1 3 8 1

,

2

,

4 1 4 9 1

,

2

,

4 1 5 10 1

,

2

,

4

p f p f p p f p p f p p f

2 3 11 1

,

2

,

4 2 4 12 1

,

2

,

4 2 5 13 1

,

4 3 6 14 1

,

2

,

4

p p f p p f p p f p p f

4 6 15 1

,

2

,

4 1

,

2

,

4

.

p p f F

(3) -

q .

(3)

1 1 1_i

,

2_i

,

4_i 2 2 1_i

,

2_i

,

4_i 3 3 1_i

,

2_i

,

4_i 4 4 1_i

,

2_i

,

4_i

p f p f p f p f

5 5 1_i

,

2_i

,

4_i 6 6 1_i

,

2_i

,

4_i 7` 7 1_i

,

2_i

,

4_i 1` 3 8 1_i

,

2_i

,

4_i

p f p f p f p p f

1 4 9 1_i

,

4_i 1` 5 10 1_i

,

2_i

,

4_i 2` 3 11 1_i

,

2_i

,

4_i 2 4 12 1_i

,

2_i

,

4_i

p p f p p f p p f p p f

2 5 13 1_i

,

2_i

,

4_i 3 6 14 1_i

,

2_i

,

4_i 4 6 15 1_i

,

2_i

,

4_i

p p f p p f p p f

1_i, 2_i, 4_i 0, 1, 7.

F i (4)

(4) p₇,

1i 1 2i 2 3i 3 4i 4 5i 5 6i 6 7i 1 3 8i 1 4 9i 1 5

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

10_i 2 3 11_i 2 4 12_i 2 5 13_i 3 6 14_i 4 6 _i

, 1, 6,

b p p b p p b p p b p p b p p B i

(5)

, 6 , 1 , 6 , 1 ,

, , ,

, _{2 4 ,7 1,7 2,7 4,7}

1 f i j

f

b_{ji ji i i i j}

, 14 , 7 ,

, , ,

, _{2 4 1,7 1,7 2,7 4,7}

1 , 1 ,

1 f f j

b_{j i j i i i i j}

. , , ,

,

_{2 4 1,7 27 47}

1

F

F

B

_{i i i i}

(5) i=1,2,3 i=j [4]

3 2

3

(

1

,

2

)

6 2

(

1

,

2

)

6 1

(

1

,

2

)

6 0

(

1

,

2

) 0, 4, 5, 6,

j j j j

T p p p T p p p T p p p T p p j

(6)

2 2 2

0

(

1

,

2

) (

0 1 1 2 2 4 1 2 8 1 9 2 11 1 2

j j j j j j j j

T p p p p p p p p p p

2 2 2 3 3 3 3 4 4

12 1 2 17 1 2 23 1 24 2 26 1 2 27 1 2 32 1 33 2

);

j

p p

j

p p

j

p

j

p

j

p p

j

p p

j

p

j

p

2 2 2 2 3 3

1

( ,

1 2

) (

13 5 1 6 2 7 1 2 13 1 15 2 20 1 2 21 1 2 28 1 30 2

);

j j j j j j j j j j

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

);

( ) ,

(

_{1 2 10 14 1 16 2 19 1}² _{22 1 2}

2

p p p p p p p

T

_{j j j j j j}

).

( ) ,

(

_{1 2 25 29 1 31 2}

3

p p p p

T

_{j j j j}

) 33 , 1

; 6 , 5 , 4 (

,_m , j m

j (6)

p₃,p₄,p p₅. p₆ (6), -

p₁,p₂ :

22

2006. 2

0

) , ( ) , ( ) , ( ) , ( 0

) , ( ) , ( ) , ( ) , ( 0

0 )

, ( ) , ( ) , ( ) , (

0 )

, ( ) , ( ) , ( ) , (

0 )

, ( ) , ( ) , ( ) , (

2 1 53 2 1 52 2 1 51 2 1 50

2 1 43 2 1 42 2 1 41 2 1 40

2 1 463 2 1 62 2 1 61 2 1 60

2 1 53 2 1 52 2 1 51 2 1 50

2 1 43 2 1 42 2 1 41 2 1 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

, (7)

0

) , ( ) , ( ) , ( ) , ( 0

) , ( ) , ( ) , ( ) , ( 0

0 )

, ( ) , ( ) , ( ) , (

0 )

, ( ) , ( ) , ( ) , (

0 )

, ( ) , ( ) , ( ) , (

2 1 63 2 1 62 2 1 61 2 1 60

2 1 43 2 1 42 2 1 41 2 1 40

2 1 463 2 1 62 2 1 61 2 1 60

2 1 53 2 1 52 2 1 51 2 1 50

2 1 43 2 1 42 2 1 41 2 1 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

. (8)

(7) (8) p₁,p₂.

(7) 9 p₂ [4].

,

9 0

0 2

s

s

s p (9)

0, ₁,…, _{9 j,m} ,(j 4,5,6; m 1,33).

9 p₂

.

10 0

1 0 2 10 1 1 2 2 10 1 2 3 2 10 1 3 4 2 10 1 4

5 2 10 1 5 6 2 10 1 6 7 2 10 1 7 8 2 10 1 8 9 2 3 1 9

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

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

(10)

(8), (7), -

9 p₂.

,

9 0

0 2

s

s

s p

h (11) h₀, h₁, …,h_{9 j,m} ,(j 4,5,6; m 1,33).

9 p₂

.

10 0

1 0 2 10 1 1 2 2 10 1 2 3 2 10 1 3 4 2 10 1 4

5 2 10 1 5 6 2 10 1 6 7 2 10 1 7 8 2 10 1 8 9 2 3 1 9

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

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

(10) (11) p₂.

p₂ , -

p₁. -

173 , 173 -

p₁.

,

173

0

0 1

k

k

g

p

s

(12)

k₀, k₁,k₂, …,k₁₇₃ (15), (16):

, ,...,.

,

,

_{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

.

(17), p₁. -

(17) [4]. -

p₁ p₂,p₃,p₄,

p₅,p₆,p₇.

AFED :

1

2 p

x _F , y_2F p₂, x_4E p₃, y_4E p₄, z_4E p₅, c₂₁ p₆,

7 2 6 2 5 2 4 2 3 2 2 2 1

5 p p p p p p p

l .

23

1. ., ., -

. . .: , 1959.

1084 .

2. . -

IV //

. , 2003. , 1. . 45-52.

3. ., . -

. .: , 1986. 544 .

4. . . ., 2003. 431 .

IV i i

i i -

. i i -

i .

Summary

The task of synthesis of seven parameters of a spatial mechanism of IV class upon set positions of input and output links is considered. The solving of excluding of unknown from a system of the power multinomials with the unknowns

621.01:531

. 10.12.05 .

. .

-

. . , . .

, . . p 2 .

-

, . -

[2, 3].

, 2

k

ikx k

e c x

f ~

. .

,

H

_p^r

2 p , r r , 0 1 ,

r 0

, f(x)

r

,

f

^r

L

_p

,

p 2

,

2f x f x h h

h x

f p

r r

r

0 < < 1 .

. . . . 1950 .

. [1]), f x H_p^r , -

-

. 2

1 , 0

2 1

1

2

p

c n

_r

n k

k (1)

-

r

H

p .

, 0

r

Hp ,

( , ,

).

1. 2

1

n n c_n 01, 2 .

, 1 2

1 r

r

. -

. ,

0 , 1 ,

, n c c const

n

n c

(1)