ISSN 1812-3368. ȼɟɫɬɧɢɤ ɆȽɌɍ ɢɦ. ɇ.ɗ. Ȼɚɭɦɚɧɚ. ɋɟɪ. «ȿɫɬɟɫɬɜɟɧɧɵɟ ɧɚɭɤɢ». 2012
187
ɞɜɭɯ ɢɡ ɧɢɯ — ɧɚɞɫɬɪɨɱɧɵɣ ɢɧɞɟɤɫ
*
.
ɉɪɢ ɷɬɨɦ ɞɨɩɭɫɤɚɟɬɫɹ ɩɟɪɟɦɟ-
ɳɟɧɢɟ ɜɨ ɜɪɟɦɟɧɢ ɩɟɪɜɨɝɨ ɢɡ ɭɤɚɡɚɧɧɵɯ ɮɪɚɝɦɟɧɬɨɜ ɩɨɜɟɪɯɧɨɫɬɢ ɩɚ-
ɪɚɥɥɟɥɶɧɨ ɨɫɢ ɫɢɦɦɟɬɪɢɢ ɬɟɥɚ. ȼɡɚɦɟɧ ɬɟɪɦɢɧɚ «ɩɨɜɟɪɯɧɨɫɬɶ ɩɟɪɟ-
ɦɟɧɧɨɣ ɤɪɢɜɢɡɧɵ» ɛɭɞɟɦ ɢɫɩɨɥɶɡɨɜɚɬɶ ɬɟɪɦɢɧ «ɫɬɟɧɤɚ».
Ɍɟɦɩɟɪɚɬɭɪɧɨɟ ɫɨɫɬɨɹɧɢɟ ɪɚɫɫɦɚɬɪɢɜɚɟɦɨɝɨ ɬɟɥɚ ɜ ɰɢɥɢɧɞɪɢɱɟ-
ɫɤɨɣ ɫɢɫɬɟɦɟ ɤɨɨɪɞɢɧɚɬ ɨɩɢɫɵɜɚɟɬɫɹ ɞɜɭɦɟɪɧɵɦ ɧɟɫɬɚɰɢɨɧɚɪɧɵɦ
ɭɪɚɜɧɟɧɢɟɦ Ɏɭɪɶɟ ɜɢɞɚ [1]
2
,
z
r
T
T
T
crs
r
r
z
z
r
r
U
O
O
W
w w
w
w
w
§
·
§
·
¨
¸
¨
¸
w w
w w
w
©
¹
©
¹
(1)
w
flat
( , ),
,
z z r z
W

@
*
w
*
cyl
end
0,
,
,
,
0,
,
,
0,
.
r z
z z
r
r
z z
W
W
W
W
W
­
° ®
t

°¯
Ƚɪɚɧɢɱɧɵɟ ɭɫɥɨɜɢɹ ɞɥɹ ɭɪɚɜɧɟɧɢɹ (1) ɡɚɞɚɸɬɫɹ ɫɥɟɞɭɸɳɢɦ ɨɛɪɚ-
ɡɨɦ:
x
ɧɚ ɫɬɟɧɤɟ
w
sin
cos
, ,
z
r
T
T
sQ r
z
r
O
-
O
-
W
w
w
w
w
cyl
0,
,
r
r
ª ¬
@
end
0,
;
W
W

(2)
x
ɧɚ ɫɬɵɤɟ ɫɬɟɧɤɢ ɢ ɩɨɜɟɪɯɧɨɫɬɢ ɰɢɥɢɧɞɪɚ
w
,
sin ,
z
T sQ r
z
O
W
-
w
w
cyl
,
r r
@
end
0,
;
W
W

(3)
*
w
cyl
,
cos
,
,
r
T s Q r
Q z
r
O
W
-
W
w ª
º
¬
¼
w
cyl
,
r r
@
end
0,
;
W
W

(4)
x
ɧɚ ɩɥɨɫɤɨɦ ɡɚɞɧɟɦ ɬɨɪɰɟ
flat
, ,
z
T sQ r
z
O
W
w
w
cyl
0,
,
r
r
ª
º
 ¬
¼
@
end
0,
;
W
W

(5)
x
ɧɚ ɨɫɢ ɫɢɦɦɟɬɪɢɢ ɬɟɥɚ
0,
T
r
w
w
>
@
w
flat
(0, ),
,
z z
z
W

@
end
0,
;
W
W

(6)
x
ɧɚ ɩɨɜɟɪɯɧɨɫɬɢ ɰɢɥɢɧɞɪɚ
cyl
, ,
r
T sQ z
r
O
W
w
w
w cyl
flat
( , ),
,
z z r
z
W
º

¼
@
end
0,
.
W
W

(7)
ȼ ɫɜɨɸ ɨɱɟɪɟɞɶ, ɧɚɱɚɥɶɧɨɟ ɭɫɥɨɜɢɟ ɡɚɞɚɟɬɫɹ ɜ ɜɢɞɟ