ȼ ɩɥɨɫɤɨɫɬɢ ɨɛɴɟɤɬɨɜ ɮɨɪɦɢɪɭɟɬɫɹ ɪɚɫɩɪɟɞɟɥɟɧɢɟ ɪɟɞɭɰɢɪɨɜɚɧ
'
ɧɵɯ ɫɜɟɬɢɦɨɫɬɟɣ ɷɥɟɦɟɧɬɚɪɧɵɯ ɢɫɬɨɱɧɢɤɨɜ
M
ij
&
ɩɪɢɱɟɦ ɢɡ
'
ɡɚ ɭɫɥɨɜɢɹ
ɪɚɜɟɧɫɬɜɚ ɩɨɬɨɤɨɜ ɜɵɩɨɥɧɹɸɬɫɹ ɫɨɨɬɧɨɲɟɧɢɹ
M
ij
=
n
2
E
ij
=
E
ij
/o
2
&
i
= 1
, ..., N
&
j
= 1
, ..., K
&
ɝɞɟ
n
ɥɢɧɟɣɧɨɟ ɭɜɟɥɢɱɟɧɢɟ
&
ɚ
o
ɭɝɥɨɜɨɟ
ɭɜɟɥɢɱɟɧɢɟ ɨɩɬɢɱɟɫɤɨɣ ɫɢɫɬɟɦɵ
(
Ɍɨɝɞɚ ɜɟɥɢɱɢɧɚ ɩɨɬɨɤɚ
&
ɪɟɝɢɫɬɪɢɪɭɟ
'
ɦɨɝɨ ɎɉɁɋ
'
ɩɪɢɟɦɧɢɤɨɦ
&
ɢɦɟɟɬ ɜɢɞ
i =
a
x
a
y
N
X
i
=1
K
X
j
=1
E
ij
=
A
x
A
y
N
X
i
=1
K
X
j
=1
M
ij
=
N
X
i
=1
K
X
j
=1
i
ij
,
(
+/
)
ɝɞɟ
A
x
&
A
y
ɥɢɧɟɣɧɵɟ ɪɚɡɦɟɪɵ ɷɥɟɦɟɧɬɚɪɧɵɯ ɢɫɬɨɱɧɢɤɨɜ ɜ ɩɥɨɫɤɨɫɬɢ
ɨɛɴɟɤɬɨɜ
&
ɩɪɢɱɟɦ
A
x
=
a
x
n
=
a
x
o, A
y
=
a
y
n
=
a
y
o.
Ʉɚɤ ɭɠɟ ɨɬɦɟɱɚɥɨɫɶ ɪɚɧɟɟ
&
ɜɫɟ ɪɚɫɫɦɚɬɪɢɜɚɟɦɵɟ ɢɫɬɨɱɧɢɤɢ ɜ ɩɥɨɫ
'
ɤɨɫɬɢ ɨɛɴɟɤɬɨɜ ɹɜɥɹɸɬɫɹ ɥɚɦɛɟɪɬɨɜɵɦɢ
(
ɇɚ ɨɫɧɨɜɚɧɢɢ ɷɬɨɝɨ ɞɥɹ ɩɨɬɨ
'
ɤɚ ɢɡɥɭɱɟɧɢɹ ɨɬ ɷɥɟɦɟɧɬɚɪɧɨɣ ɩɥɨɳɚɞɤɢ ɪɚɡɦɟɪɨɦ
A
x
×
A
y
ɜ ɬɟɥɟɫɧɨɦ
ɭɝɥɟ
k
&
ɨɛɪɚɡɨɜɚɧɧɨɦ ɤɨɧɭɫɨɦ ɫ ɭɝɥɨɦ ɪɚɫɤɪɵɜɚ
&
ɦɨɠɧɨ ɩɨɥɭɱɢɬɶ
U.W
i
ij
=
{A
x
A
y
L
ij
sin
2
2
;
(
+0
)
ɡɞɟɫɶ
ɭɝɥɨɜɨɣ ɪɚɡɦɟɪ ɜɯɨɞɧɨɝɨ ɡɪɚɱɤɚ ɩɪɢɟɦɧɨɣ ɨɩɬɢɱɟɫɤɨɣ ɫɢ
'
ɫɬɟɦɵ
(
Ɉɬɫɸɞɚ ɹɪɤɨɫɬɶ ɷɥɟɦɟɧɬɚɪɧɨɣ ɩɥɨɳɚɞɤɢ ɪɚɡɦɟɪɨɦ
A
x
×
A
y
ɦɨɠɧɨ
ɩɪɟɞɫɬɚɜɢɬɶ ɜ ɜɢɞɟ
L
ij
=
i
ij
{A
x
A
y
sin
2
2
.
(
+1
)
ɍɱɢɬɵɜɚɹ
&
ɱɬɨ
i
ij
=
a
x
a
y
E
ij
=
A
x
A
y
M
ij
=
A
x
A
y
E
ij
/o
2
&
ɜɵɪɚɠɟ
'
ɧɢɟ
"+1#
ɩɪɟɞɫɬɚɜɢɦ ɜ ɜɢɞɟ
L
ij
=
E
ij
{o
2
sin
2
2
.
(
+2
)
Ⱦɥɹ ɜɫɟɯ ɷɥɟɦɟɧɬɚɪɧɵɯ ɢɫɬɨɱɧɢɤɨɜ ɜ ɩɥɨɫɤɨɫɬɢ ɨɛɴɟɤɬɨɜ ɞɥɹ ɞɚɧɧɵɯ
ɭɫɥɨɜɢɣ ɧɚɛɥɸɞɟɧɢɹ
"
ɥɢɧɟɣɧɵɟ ɪɚɡɦɟɪɵ ɨɛɴɟɤɬɨɜ ɦɧɨɝɨ ɦɟɧɶɲɟ ɪɚɫ
'
ɫɬɨɹɧɢɹ ɢɯ ɧɚɛɥɸɞɟɧɢɹ
#
ɭɝɨɥ ɨɞɢɧɚɤɨɜ
4
tg
2
=
D
ɜɯ
(
ɡɪ
2
l
,
-2 CMMH *,-0'-3--(
ȼɟɫɬɧɢɤ ɆȽɌɍ ɢɦ
(
ɇ
(
ɗ
(
Ȼɚɭɦɚɧɚ
(
ɋɟɪ
(
ɉɪɢɛɨɪɨɫɬɪɨɟɧɢɟ
( ,**/(
ʋ
+
