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BY (11) 11810
(13) C1
(46) 2009.04.30
(19)
(12)
(51)
(2006)
F 04F 5/00
(54)
(21)
(22) 2007.01.10
(43) 2007.06.30
(71)
:
: a 20070012
(73)
" (BY)
" (BY)
(72)
:
"
:
(56) BY a20060018, 2006.
RU 2216650 C1, 2003.
RU 2085761 C1, 1997.
;
(BY)
;
(57)
,
,
,
,
,
,
,
Ri -
:
 R + R i −1 
 ,
α i = arctg i
 2R

,
i-
;
R -
,
BY 11810 C1 2009.04.30
:
in-
-
R2 ⋅ i
,
Ri =
n
,
,
;
.
.1
BY 11810 C1 2009.04.30
,
(
)
,
,
.
,
,
,
,
αi
.
,
αi = arctg
in-
-
,
:
i
,
n +1
;
.
,
,
,
,
.
-
,
,
,
.
-
,
.
αi
,
,
-
,
:
Ri -
 R + R i −1 
 ,
α i = arctg i
 2R

,
i-
;
R -
,
:
Ri =
in-
R2 ⋅ i
,
n
,
;
,
Ri =
.
 R + R i −1 

α i = arctg i
2
R


R2 ⋅ i
n
.
Ri
.
,
-
,
,
.
.
R
-
n.
,
:
n⋅S1=S ,
nS1 S -
;
;
.
:
n ⋅ πR12 = πR 2 ,
R1:
2
-
BY 11810 C1 2009.04.30
R2
.
n
R1 =
S2
:
S2 = πR 22 − πR12 ,
,
:
S2=S1,
,
πR 22 − πR12 = πR12 ,
R 22 − R12 = R12 ,
R2:
R 22 = R12 + R12 = 2R12 =
2R 2
.
n
R2 =
S3
2R 2
,
n
:
S3 = πR 32 − πR 22 ,
,
:
S3=S1,
,
πR 32 − πR 22 = πR12 ,
R 32 − R 22 = R12 ,
R3:
R 32 = R 22 + R12 =
2R 2 R 2 2R 2 + R 2 3R 2
+
=
=
,
n
n
n
n
3R 2
R3 =
.
n
:
R1 =
R2
,
n
R2 =
2R 2
,
n
3R 2
,
n
……………. ,
R3 =
nR 2
.
n
Rn =
,
Ri
.
:
Ri =
R i-
R2 ⋅i
,
n
;
,
3
;
-
BY 11810 C1 2009.04.30
n-
.
αi
,
.
,
-
,
,
,
Ri
R,
,
-
,
,
αi:
α i = arctg
Ri
Ri
.
R
:
Ri =
R i − R i −1
R − R i −1 + 2R i −1 R i + R i −1
+ R i −1 = i
=
.
2
2
2
:
Ri R -
 R + R i −1 
 ,
α i = arctg i
 2R

;
i.
:
,
.1
-
.2-
.
1,
2
4.
3
,
,
Ri
Ri =
R in-
3,
-
1
:
R2 ⋅i
,
n
1;
,
1;
3,
αi
3
,
,
Ri R -
:
 R + R i −1 
 ,
α i = arctg i
 2R

;
i1.
.
4
3
1
2.
2,
.
.
:
D n-
, D = 89
,n=4 .
(R = 44,5
4
),
-
BY 11810 C1 2009.04.30
,
.
-
.
:
R2 ⋅ i
.
n
Ri =
R1 =
R 2 ⋅1
44,52 ⋅ 1
=
= 22,25
n
4
,
R2 =
R 2 ⋅1
=
n
44,52 ⋅ 2
= 31,47
4
,
R3 =
R2 ⋅ 2
=
4
44,52 ⋅ 3
= 38,54
4
,
R4 =
R2 ⋅ 4
=
4
44,52 ⋅ 4
= 44,5
4
.
:
 R + R i −1 
 .
α i = arctg i
2
R


 R
α1 = arctg 1
 2R

 22, 25 
 = arctg
 = arctg(0,25) = 14,04o ,
 2 ⋅ 44,5 

 R + R1 
 31, 47 + 22, 25 
 = arctg
α 2 = arctg 2
 = 31,11o ,
⋅
2
R
2
44
,
5




 R + R2 
 38,54 + 31,47 
 = arctg
α 3 = arctg 3
 = 38,19o ,
 2 ⋅ 44,5 
 2R 
 R + R3 
 44,5 + 38,54 
 = arctg
α1 = arctg 4
 = 43,01o ,
 2 ⋅ 44,5 
 2R 
,
:
S1 = π R12 = 3,14⋅22,252≈1554,5
2
,
S2 = π R 22 - π R12 = 3,14⋅31,472 - 3,14⋅22,252 ≈ 1555,24
2
S3 = π R 32 - π R 22 = 3,14⋅38,542 - 3,14⋅31,472 ≈ 1554,9
S4 = π R 24 - π R 32 = 3,14⋅44,52 - 3,14⋅38,542 ≈ 1554
S1 ≈ S2 ≈ S3 ≈ S4,
,
.
2
2
,
,
.
.
,
Ri
.
.
, Ri =
,
R1 =
R1 22,25
=
= 11,12
2
2
5
,
R i + R i −1
.
2
BY 11810 C1 2009.04.30
R 2 + R1 31,47 + 22,25
=
= 26,86
2
2
R + R 2 38,54 + 31, 47
=
= 35
R3 = 3
2
2
R + R 3 44,5 + 38,54
= 41,52
R4 = 4
=
2
2
,
,
R2 =
Ri
,
,
,
R,
,
:
R i ' = tgα ⋅ R ,
R1 ' = tg(α1) ⋅ R = tg(14,04o ) ⋅ 44,5 = 11,12
,
R 2 ' = tg(α 2 ) ⋅ R = tg(31,11o ) ⋅ 44,5 = 26,86
,
R 3 ' = tg(α3 ) ⋅ R = tg(38,19o ) ⋅ 44,5 = 35
R 4' = tg(α 4 ) ⋅ R = tg(43,01o ) ⋅ 44,5 = 41,52
,
,
,
R1 = R1 ' ,
R 2 = R 2' ,
R3 = R 3' ,
R 4 = R 4' .
,
,
,
.
,
,
,
,
,
.
.2
.
220034, .
,
.
, 20.
6
,
-
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