nblib.library.kz - /elib/library.kz/jurnal/v_2006_3/

9 Y

Z

O

x_D x₁

1

1

z₁

A

u₂ x₂2 w₂

B z₃

3

2

C F

8

K 6

N 5

6 M

7 R

y_R

E 4 4

D

y_D z_D x_R

X y₁

z₂ v₂ y₂

u₃ x₃

y₃

3

v₃ w₃

z₈

u₈ x8

y₈ w₈ v₈

8

w₆ z₆ u₆

x₆ y₆

v₆ v₅

y₅ w₅z₅

x5

u₅

5

w₇ z7

y₇ v₇ u₇

x₇

7

u₄ x₄

y₄ w₄

z₄ v₄

zR

O₁

.

V

V -

1, 7 4:

t

t _{i i}

i

i 1 7 7

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

.

, -

. DENMR -

[1].

2,

5 2

5 l

l

q (2)

l5 – E N 5 :

2,

2 2 2

5 XE XN YE YN ZE ZN

l

N N N E E

E Y Z X Y Z

X , , , , , E N -

OXYZ [2]. -

DENMR 16 -

[3] , l₅ 5 :

1 5005 2 3 4 5 6

10 11 12 13 14

6 15

C15 .

:

5 4 4 6 6 6

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

a _{N N N E E} .

10

2006. 3

(2)

1 1 1, 4, 7, 6 2 2 1, 4, 7, 6 3 3 1, 4, 7, 6 4 4 1, 4, 7, 6

q p f p f p f p f

5 5 1, 4, 7, 6 6 6 1, 4, 7, 6 7` 7 1, 4, 7, 6 1` 2 8 1, 4, 7, 6

p f p f p f p p f

1` 3 9 1, 4, 7, 6 1` 5 10 1, 4, 7, 6 1 6 11 1, 4, 7, 6 2 5 12 1, 4, 7, 6

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

2 6 13 1, 4, 7, 6 3 5 14 1, 4, 7, 6 3 6 15 1, 4, 7, 6 4 5 16 1, 4, 7, 6

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

1, 4, 7, 6 .

F (3) -

q [4]. -

(3)

1 1 1_i, 4_i, 7_i, 6_i 2 2 1_i, 4_i, 7_i, 6_i 3 3 1_i, 4_i, 7_i, 6_i 4 4 1_i, 4_i, 7_i, 6_i

p f p f p f p f

5` 5 1<sub>i</sub>, 4<sub>i</sub>, 7<sub>i</sub>, 6<sub>i</sub> 6` 6 1_i, 4_i, 7_i, 6_i 7` 7 1<sub>i</sub>, 4<sub>i</sub>, 7<sub>i</sub>, 6<sub>i</sub> 1` 2 8 1_i, 4_i, 7_i, 6_i

p f p f p f p p f

1 3 9 1_i, 4_i, 7_i, 6_i 1 5 10 1_i, 4_i, 7_i, 6_i 1 6 11 1_i, 4_i, 7_i, 6_i

p p f p p f p p f

2 5 12 1_i, 4_i, 7_i, 6_i 2 6 13 1_i, 4_i, 7_i, 6_i 3 5 14 1_i, 4_i, 7_i, 6_i

p p f p p f p p f

3 6 15 1_i, 4_i, 7_i, 6_i 4 5 16 1_i, 4_i, 7_i, 6_i 1_i, 4_i, 7_i, 6_i 0, 1, 7.

p p f p p f F i (4)

(4) p₇.

1i 1 2i 2 3i 3 4i 4 5i 5 6i 6 7i 1 2 9i 1 5 10i 1 6 11i 2 5 8i 1 3

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

12_i 2 6 13_i 3 5 14_i 3 6 15_i 4 5 16_i 4 5 _i, 1, 6,

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

1, 2, 4 ,7 1,7, 2,7, 4,7 , 1, 6, 1, 6,

ji ji i i i j

b f f i j

1, 1, 1, 2, 4 1,7 1,7, 2,7, 4,7 , 7,16,

j i j i i i i j

b f f j

1, 2 , 4 1,7, 27, 47 .

i i i i

B F F (5)

(5) i= 1,2,3 i= j

[5] p₁:

3 2

3( 5, 6) 1 2( 5, 6) 1 1( 5, 6) 1 0( 5, 6) 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 2

0( 5, 6) ( 0 2 5 3 6 6 5 6 9 5 10 6 15 5 6 16 5 6

j j j j j j j j j

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

2 2 3 3 3 3 4 4

19 5 6 27 5 28 6 33 5 6 34 5 6 38 5 39 6);

j p p j p j p j p p j p p j p j p

2 2 2 2

1( 5, 6) ( 1 4 5 5 6 7 5 6 12 5 14 6 21 5 6 22 5 6

j j j j j j j j j

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

2 2 3 3 3 3 4 4

25p p5 6 _j30p5 _j32p6 _j36p p5 6 _j37p p5 6 _j40p5 _j41p6);

2 2 2 2 3 3

2 5, 6 ( 8 11 5 13 6 17 5 18 6 20 5 6 23 5 6 24 5 6 42 5 43 6);

j 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

2 2

3 5, 6 ( 26 29 5 31 6 35 5 6 44 5 45 6).

j j j j j j j

T p p p p p p p p

) 45 , 1

; 6 , 5 , 4 (

,_m , j m

j (6) -

.p₂,p₃,p₄. p₁ (6), -

p₅,p₆

11

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

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

0 )

, ( ) , ( ) , ( ) , (

0 )

, ( ) , ( ) , ( ) , (

0 )

, ( ) , ( ) , ( ) , (

6 5 53 6 5 52 6 5 51 6 5 50

6 5 43 6 5 42 6 5 41 6 5 40

6 5 463 6 5 62 6 5 61 6 5 60

6 5 53 6 5 52 6 5 51 6 5 50

6 5 43 6 5 42 6 5 41 6 5 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 )

, ( ) , ( ) , ( ) , (

6 5 63 6 5 62 6 5 61 6 5 60

6 5 43 6 5 42 6 5 41 6 5 40

6 5 463 6 5 62 6 5 61 6 5 60

6 5 53 6 5 52 6 5 51 6 5 50

6 5 43 6 5 42 6 5 41 6 5 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) p₅,p₆.

(7) 11 p₆ [5]:

,

11 0

0 6

s

s

s p (9)

0, ₁, ..., _{11 j,m} ,(j 4,5,6; m 1,45).

11 p₆

5 11 12 10 12 9 12 8 12 7 12 6

11 5 6 10 5 6 9 5 6 8 5 6 7 5 6 6 5 6

12 5 12 4 12 3 12 2 12 12

5 5 6 4 5 6 3 5 6 2 5 6 1 5 6 0 5 0.

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 p p S p p S p (10)

(9) 11

p₆:

,

11 0

0 6

s

s

s p

h (11) h₀,h_j , ...,h_{11 j,m} ,(j 4,5,6; m 1,45).

11 p₆

5 11 12 10 12 9 12 8 12 7 12 6

11 5 6 10 5 6 9 5 6 8 5 6 7 5 6 6 5 6

12 5 12 4 12 3 12 2 12 12

5 5 6 4 5 6 3 5 6 2 5 6 1 5 6 0 5 0.

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 p p H p p H p

(12)

(10) (12) p₆.

p₆ , 257

p₅:

,

257 0

0 5

k

k

k p

s (13)

k₀,k₁,k₃, ...,k₂₅₇ (10) (12):

5 12 12 12

11 5 , 10 5 , 9 5 ,...,. 0 5 ,

S p S p S p S p

5 12 12 12

11 5 , 10 5 , 9 5 ,...,. 0 5 .

H p H p H p H p

(13), p₅. -

(13) [5]. -

p₅ –p₁,p₂,

p₃,p₄,p₆,p₇. DENMR

1

67 p

a , x_6N p₂,

y

_6N

p

₃,

z

_6N

p

₄,

x

_4E

p

₅,

y

_4E

p

₆, l₅ p₁² p₂² p₃² p₄² p₅² p₆² p₇.

12

2006. 3

1. ., ., -

. . .: , 1959.

1084 .

2. . -

-

V // , . 2004. 5.

. 178-181.

3. ., . -

. .: , 1986. 544 .

4. . -

V

//

. , . . -

. , 2005. . II. . 236-238.

5. . . ., 2003. 431 .

V i i

, -

i i .

i i

i .

Summary

The task of synthesis of seven parameters of a spatial mechanism of V 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

. . . 17.03.06 .

. .

(2+1)-

1960- . ,

, -

,

, ,

[1,

c. 288–289]. -

- –

.

0

6 _{x xxx}

t uu u

u (1)

, -

-

[2]. ,

(1+1) ( )

(1) -

( ., , [1–5]), -

.

1970 . [6] -

0 )

6

(u_xxx u² u_x u_{t x} u_yy (2)

-

. 1976 . [7]

(2) -

. [8],

[9] (2)

. (2)

,

.

1988 . . . [10, . 188–189] -

-

u w v wu

vu u

u

u_{t xxx yyy y x} ( _{y x}) 2

) 1 ( )

( , (3)

y

x u

u 3( ²) , w_y 3(u²)_x. (4) (3), (4)

-

, -

(3), (4) .

[11] (2+1)- -

0

4 _x V _y V_xU

xxy

t , (5)