Документ взят из кэша поисковой машины. Адрес оригинального документа : http://www.mce.biophys.msu.ru/archive/doc21786/doc.pdf Дата изменения: Wed Jul 30 17:21:08 2008 Дата индексирования: Mon Oct 1 21:46:36 2012 Кодировка: Поисковые слова: m 63

. ., . .
, -

. , . , , . , - h . , . 1 . 2.

. 1.

. 2.

, . , ( . 3 i , i = 1,2...6 ) - -

ri . [1]


i =1

i =6

i = 0

(1)


(1) , , , , :

1 в r1 + (1 + 2 ) в r2 + (1 + 2 + 3 ) в r3 + (1 + 2 + 3 + 4 ) в r4 + + (1 + 2 + 3 + 4 + 5 ) в r5 + (1 + 2 + 3 + 4 + 5 + 6 ) в r6 = 0


(2)


i =1

i =6

ri = 0

(3)

, i . ri (1) - (3) , i = 0 , , , . , 1 = - 4 , 2 = - 5 , 3 = - 6 , -

(1)


i =1

i =6

i = 0 , (2) . -

i Z , X Y . , , r4 , r5 , r6 r1 , r2 , r3 180 °, .

. 3.

, «» [2, 3, 4]. . 1-3 Solid Woks 2004.


, , . 3 7+6=13 . «» , ( = 0) (. 4) , (. 5), [5]. (. 5) «», a .

. 4. «»

. 5. : a ­ , -

m , F=13m, R=12m . F-R=m>0, ­ . a b. , ­ . . 5 . [6] 3h , G ­ , , h GI t = G 3 . , . , (. ) , a=b=l, .
G 3 h 2 2 sin ( 2 ) W = 0.24 l

(4)


- (. 2), = 1 +

.

(4) , , ( ): «», , , (. 6, 7).

. 6. , b

. 7. , a

. 8. ,

W (. 8): 0 -


, 1 ­ . 6, 2 ­ . 7. 3 .

. 9. ()

, W0 , p , 0, 1 2 .

. 10.

, . 9 «» , . 6, . 7.


, h . r . 10. , N, m, T p (- ). . 11 [7] . , K S 20-25 .

. 11.

. 10 «» ( h) . «» [8], [9]. , ­ , . , , . m n (. 12). , , 2 5 (. 3) ( ( r1 - r6 ) ( r3 - r4 ) ). 123 456 ( !) , . , 1 = arcsin (n в m) (5) 2l


n , m ­ , n, m.

. 12.

,

= 0, = 0, =/2 -

(6)

- , - . (n x m)
( n в m ) = t sin(2 ) ,

=1+



(7)

m , n t , Solid Works c = 0.31. :
1 2 3 4 5 6 X X X X X X ::::::194 195 238 113 114 148 9.51 8.73 4.17 2.11 1.34 8.10 Y:576.84 Y:472.52 Y:765.23 Y:-434.56 Y:-538.88 Y:-294.47 Z:-322.51 Z:-388.24 Z: 244.11 Z:-441.25 Z:-506.97 Z: 183.93

, 1, 2, 3 4, 5, 6, :


( x + 1950) ( y - 577) ( z + 322) -66 A( x , y , z) := -9 -105 -434 188 566 ( x + 1132) ( y + 435) ( z + 441) -66 B ( x , y , z) := -9 -104 -356 141 622
47 47 + 33.7 33.7 + 47.2 47.2 = 5.573 в 10
3



A( x , y , z) -47022 x - 126378090 + 33738 y - 47262 z

B ( x , y , z) -55382 x - 66923747 + 29094 y - 38293 z

55.3 55.3 + 29.1 29.1 + 38.3 38.3 = 5.372 в 10 5573 = 74.653 -47262 = -0.633 74653 -55382 = -0.756 73294 5372 = 73.294 -47022 = -0.63 74653 29094 = 0.397 73294

3

33738 = 0.452 74653 -38293 = -0.522 73294

-0.63 -0.756 + 0.452 0.397 + 0.633 0.522 = 0.986 acos ( 0.986) = 0.168 0.168 180 3.14 = 9.631

-0.63 m := 0.452 -0.633



-0.756 n := 0.397 -0.522



n m = 0.986

-0.015 n в m = -0.15 -0.092



=

1

2

a cos(0.986) / l = 0.084 / l (8)

,

= 0.4 sin(2 ) / l
, , W = GI
t

3 2 l G 3h 2 2 = 0.24 sin ( 2 ) 2 l

(9)


A 4.5 pl 2 sin( ) 2



(10)

, A = W p 0 , / l 0 . «» , = 0.


1. .. . .: , 1961. 824 . 2. Gan W. W., Pellegrino S. Kinematic bifurcations of closed-loop deployable frames // Computation of Shell and Spatial Structures, Salzburg, 2005. 3. Phillips J. Freedom in Machinery. Vol. 2, Screw Theory Exemplified. Cambridge Univ. Press, 1984, 192 p. 4. Lee C.-C., Dai J. S. Configuration analysis of the Schatz linkage // Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 217: (2003), .779786 5. .., .. . .: , 1995, 38 . 6. . . .: , 1987. 542 . 7. .., .. . : , 1972, 105. 8. .., .. . .: - .-. -, 1996, 35 . 9. Hutchinson R.G., Wick N., Evans A.G., Fleck N.F., Hutchinson J.W. Kagome plane structures for actuation //International Journal of solids and structures, 40: (2003), P. 6969-6980

TRANSFORMED SYSTEMS BASED ON REGULAR SIX LINK LOOPS Grachev V. A., Nayshtut Yu. S.

The paper covers mechanics foundations of the transformed shells compiled of the same size parallelogram-shaped plates. It researches the strained state of the nets made of six link loops and reviews possible technical applications of the nets to create durable structures