P
0
&
P
x
ɦɨɳɧɨɫɬɢ ɫɢɝɧɚɥɨɜ
&
ɫɨɨɬɜɟɬɫɬɜɭɸɳɢɟ ɦɚɤɫɢɦɭɦɚɦ ɪɟɝɢɫɬɪɢ
'
ɪɭɟɦɵɯ ɢɦɩɭɥɶɫɧɵɯ ɥɨɤɚɰɢɨɧɧɵɯ ɫɢɝɧɚɥɨɜ
(
Ɇɨɳɧɨɫɬɢ ɷɯɨ
'
ɫɢɝɧɚɥɨɜ
P
0
&
P
x
&
ɪɟɝɢɫɬɪɢɪɭɟɦɵɟ ɩɪɢɟɦɧɢɤɨɦ ɨɬ
ɜɡɜɨɥɧɨɜɚɧɧɨɣ ɦɨɪɫɤɨɣ ɩɨɜɟɪɯɧɨɫɬɢ
"
ɩɪɢ ɨɬɫɭɬɫɬɜɢɢ ɩɟɧɧɵɯ ɨɛɪɚɡɨ
'
ɜɚɧɢɣ
#&
ɜ ɫɥɭɱɚɟ ɢɦɩɭɥɶɫɧɨɝɨ ɩɨɞɫɜɟɬɚ ɢ ɝɚɭɫɫɨɜɨɣ ɮɨɪɦɵ ɡɨɧɞɢɪɭɸ
'
ɳɟɝɨ ɢɦɩɭɥɶɫɚ
f
(
t
) =
2
Q
{
exp
μ
a
4
t
2
~
2
s
¶
,
ɝɞɟ
~
s
ɞɥɢɬɟɥɶɧɨɫɬɶ ɡɨɧɞɢɪɭɸɳɟɝɨ ɢɦɩɭɥɶɫɚ
&
ɞɥɹ ɧɟɛɨɥɶɲɢɯ ɭɝɥɨɜ
ɥɨɤɚɰɢɢ
t
¿
~
s
c
4
(
C
s
+
C
r
)
1
/
2
, t
¿
1
,
ɨɩɪɟɞɟɥɹɸɬɫɹ ɫɥɟɞɭɸɳɢɦɢ ɮɨɪɦɭɥɚɦɢ
U2W4
P
0
z
a
1
a
2
, P
x
z
a
1
a
2
exp
μ
a
0
,
5
q
2
x
q
2
z
o
2
x
¶
;
(1)
ɡɞɟɫɶ
a
1
=
V
2
8
{
(
o
2
x
o
2
y
)
1
/
2
;
a
2
= 0
,
5
a
s
a
r
c~{
1
/
2
L
a
4
(
C
s
+
C
r
)
a
1
μ
~
2
s
c
2
16
+ 2
}
2
¶
a
1
/
2
;
q
x
= 2 sin
t
5
q
z
= 2 cos
t
5
o
2
x
&
o
2
y
ɞɢɫɩɟɪɫɢɢ ɧɚɤɥɨɧɨɜ ɦɨɪɫɤɨɣ ɩɨ
'
ɜɟɪɯɧɨɫɬɢ ɜɞɨɥɶ ɢ ɩɨɩɟɪɟɤ ɥɢɧɢɢ ɩɨɥɟɬɚ
"
ɦɨɪɫɤɚɹ ɩɨɜɟɪɯɧɨɫɬɶ ɜ ɨɛ
'
ɳɟɦ ɫɥɭɱɚɟ ɹɜɥɹɟɬɫɹ ɚɧɢɡɨɬɪɨɩɧɨɣ
&
ɢ ɞɢɫɩɟɪɫɢɢ
o
2
x
ɢ
o
2
y
ɨɬɥɢɱɚɸɬɫɹ
ɞɪɭɝ ɨɬ ɞɪɭɝɚ
#5
t
ɭɝɨɥ ɥɨɤɚɰɢɢ
"
ɭɝɨɥ ɦɟɠɞɭ ɨɩɬɢɱɟɫɤɨɣ ɨɫɶɸ ɥɢɞɚɪɚ
ɢ ɧɚɩɪɚɜɥɟɧɢɟɦ ɜɟɪɬɢɤɚɥɶɧɨ ɜɧɢɡ
#5
L
ɪɚɫɫɬɨɹɧɢɟ ɨɬ ɥɢɞɚɪɚ ɞɨ ɦɨɪ
'
ɫɤɨɣ ɩɨɜɟɪɯɧɨɫɬɢ
5
V
2
ɤɨɷɮɮɢɰɢɟɧɬ ɨɬɪɚɠɟɧɢɹ Ɏɪɟɧɟɥɹ ɞɥɹ ɦɨɪɫɤɨɣ
ɩɨɜɟɪɯɧɨɫɬɢ
5
ɞɥɹ ɩɪɨɡɪɚɱɧɨɣ ɚɷɪɨɡɨɥɶɧɨɣ ɚɬɦɨɫɮɟɪɵ
m
s
=
P
s
exp(
a
~
[
)
{m
2
s
;
m
r
=
r
2
r
exp(
a
~
[
);
C
s
= (
m
s
L
)
a
2
, C
r
= (
m
r
L
)
a
2
;
2
m
s
ɢ
2
m
r
ɭɝɨɥ ɪɚɫɯɨɞɢɦɨɫɬɢ ɢɫɬɨɱɧɢɤɚ ɢɡɥɭɱɟɧɢɹ ɢ ɭɝɥɨɜɨɟ ɩɨɥɟ
ɡɪɟɧɢɹ ɩɪɢɟɦɧɨɣ ɫɢɫɬɟɦɵ
5
P
s
ɦɨɳɧɨɫɬɶ
&
ɢɡɥɭɱɚɟɦɚɹ ɢɫɬɨɱɧɢɤɨɦ
5
r
r
ɷɮɮɟɤɬɢɜɧɵɣ ɪɚɡɦɟɪ ɩɪɢɟɦɧɨɣ ɚɩɟɪɬɭɪɵ
5
~
[
ɨɩɬɢɱɟɫɤɚɹ ɬɨɥ
'
ɳɢɧɚ ɚɬɦɨɫɮɟɪɵ ɦɟɠɞɭ ɥɚɡɟɪɧɵɦ ɥɨɤɚɬɨɪɨɦ ɢ ɦɨɪɫɤɨɣ ɩɨɜɟɪɯɧɨɫɬɶɸ
(
ɂɡ ɮɨɪɦɭɥɵ
"+#
ɜɢɞɧɨ
&
ɱɬɨ ɜ ɞɜɭɯɭɝɥɨɜɨɣ ɫɯɟɦɟ ɞɢɫɬɚɧɰɢɨɧɧɨɝɨ
ɡɨɧɞɢɪɨɜɚɧɢɹ ɢɦɟɸɬɫɹ ɞɜɟ ɢɡɦɟɪɹɟɦɵɟ ɜɟɥɢɱɢɧɵ
P
0
&
P
x
ɢ ɬɪɢ ɧɟɢɡ
'
ɜɟɫɬɧɵɯ ɩɚɪɚɦɟɬɪɚ
o
2
x
&
o
2
y
ɢ
V
2
&
ɜɟɥɢɱɢɧɭ ɤɨɬɨɪɵɯ ɧɟɨɛɯɨɞɢɦɨ ɤɨɧɬɪɨ
'
ɥɢɪɨɜɚɬɶ ɞɥɹ ɧɚɞɟɠɧɨɝɨ ɨɛɧɚɪɭɠɟɧɢɹ ɧɟɮɬɹɧɵɯ ɡɚɝɪɹɡɧɟɧɢɣ ɧɚ ɦɨɪ
'
ɫɤɨɣ ɩɨɜɟɪɯɧɨɫɬɢ
(
CMMH *,-0'-3--(
ȼɟɫɬɧɢɤ ɆȽɌɍ ɢɦ
(
ɇ
(
ɗ
(
Ȼɚɭɦɚɧɚ
(
ɋɟɪ
(
ɉɪɢɛɨɪɨɫɬɪɨɟɧɢɟ
( ,**/(
ʋ
+ ,+
