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z
0
x
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1
ρ , σ
H
2
1
1
ρ , σ
2
2
Ðèñ. 1.
l
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l
z
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x
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ρ , σ
1
H
2
1
1
ρ , σ
2
2
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'
1
@x 2
+ @
2
'
1
@z 2
=0 ¯à¨ 06z 6H
1
; (1)
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'
2
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+ @
2
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2
@z 2
=0 ¯à¨ ,H
2
6z 60 (2)
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'
1 j
t=0 =
@'
1
@t
t=0
=0; '
2 j
t=0 =
@'
2
@t
t=0 =0;
(3)
@'
1
@x
x=0 =0;
@'
1
@x
x=l
=0; (4)
@'
2
@x
x=0
=,V(z)=
,V
0
¯à¨ ,H
2
6z 6,H
2 +h;
0 ¯à¨ ,H
2
+h <z 60;
@'
2
@x
=,V
l =,
V
0 h
H
2 ;
1 @'
1
@t +
1 B
2
0 '
1 +g
1
1 H
1
=0 ¯à¨ z =H
1
; (6)
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1
@z =
@'
2
@z
¯à¨ z =0; (7)
1
@ 2
'
1
@t 2
+
1
1 B
2
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2
@z
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1
(x;z;t) ¨ '
2
(x;z;t) | ¯®â¥æ¨ «ë
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1 ¨
2
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1
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2
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1
=g+
1
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0 ; g
2
=g+
2
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0
; (10)
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y
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x
| ¨¤ãªæ¨ï
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(x;t)=
1
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2 ,
1 g
1 @'
1
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2
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2 ,
1 g
1 @'
2
@t
+
1 B
2
0
2 g
2 ,
1 g
1 '
1 ,
2 B
2
0
2 g
2 ,
1 g
1 '
2
(11)
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@t =
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(x;z;t)
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z=0 =
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2
(x;z;t)
@z
z=0
: (12)
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~ '
1;2
(x;z;p)= +1
Z
0 '
1;2
(x;z;t)e ,pt
dt: (13)
१ã«ìâ ⥠¯à¥®¡à §®¢ ¨ï (13) ¢ëà ¦¥¨ï (1){(9) ¢ ¨§®¡à ¦¥¨ïå
§ -¯¨èãâáï á«¥¤ãî騬 ®¡à §®¬
'~
ãá«®¢¨-£¤¥
(p)cosa
n (t)cos
n
sin r sin
q cos
q
sin r sin
q cos
s
n =
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2
0
2
1+
2 th(a
n H
1 )th(a
n H
2 )
1+
1
2 th(a
n H
1 )th(a
n H
2 )
;
th(a
n H
1 )=
1,e ,2a
n H
1
1+e ,2a
n H
1
; th(a
n H
2 )=
1,e ,2a
n H
2
1+e ,2a
n H
2 ;
sh(a
n h)
ch(a
n H
2 )
= e
,an(H2,h)
,e
,an(H2+h)
1+e ,2a
n H
2
; h<H
2 :
¨â¥à âãà
1. ®¢å.. ¥å¨ç¥áª ¤à®¬¥å ¨ª .|.: 訮áâ஥¨¥,1976.|501á.
2. ®¢å., ¯ãáâ .,¥ª¨.. £¨â ¤à®¤¨ ¬¨ª ¢¬¥â ««ãࣨ¨.|.:
¥â ««ãࣨï,1974.|240á.
3. ¯à ¢®ç¨ª ¯® £¨¤à ¢«¨ª¥ ¯®¤ । ªæ¨¥© . . ®«ìè ª®¢ .|¨¥¢: ¨é 誮« ,
1977.|278á.
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