Поперечный удар твердого тела по ортотропной пластинке с учетом распространения упругих волн - page 7

m
r
1
(
c
2
+
c
3
)
c
4
c
1
c
5
X
n
=0
ϕ
2
n
+
m
P
2
n
+1
,r
+ +
m
3
r
2
X
n
=0
ϕ
2
n
+
m
P
2
n
+1
m p
2
+
(
c
2
+
c
3
)
c
4
c
1
c
5
r
2
c
2
c
1
r
2
12
c
4
c
1
X
n
=0
ϕ
2
n
+
m
P
2
n
+1
m
2
r
c
2
σ
r
+
c
3
c
1
c
2
c
4
c
1
c
5
X
n
=0
ψ
2
n
+
m
P
2
n
+1
,r
+
m
2
r
2
c
2
+
c
3
c
1
X
n
=0
ϕ
2
n
+
m
P
2
n
+1
+
+
12
c
4
r
c
1
p
2
rc
4
c
5
+
c
3
c
4
c
1
c
5
r
X
n
=0
ψ
2
n
+
m
P
2
n
+1
,r
+
1
r
X
n
=0
ψ
2
n
+
m
P
2
n
+1
!
c
3
c
4
r
c
1
c
5
2
r
X
n
=0
ψ
2
n
+
m
P
2
n
+1
,rr
+
X
n
=0
ψ
2
n
+
m
P
2
n
+1
,rrr
!
+
+
c
2
c
4
c
1
c
5
r
2
X
n
=0
ψ
2
n
+
m
P
2
n
+1
=
=
m
12
R
1
cos
α
1
h
2
P
(
p
)
πR
2
c
X
n
=0
(4
n
+ 3)
P
2
n
+1
cos
πr
1
2
R
P
2
n
+1
;
(18)
p
2
c
1
σ
θ
+
c
3
12
c
5
c
4
c
1
+
(
c
2
+
c
3
)
c
4
12
c
1
c
5
r
2
×
×
m
X
n
=0
ϕ
2
n
+
m
P
2
n
+1
,r
m
r
X
n
=0
ϕ
2
n
+
m
P
2
n
+1
!
m
2
c
4
c
1
c
3
c
2
12
c
5
r
3
p
2
c
1
12
c
5
r
+
p
2
c
2
12
c
5
r
X
n
=0
ψ
2
n
+
m
P
2
n
+1
+
+
c
4
c
1
r
c
3
12
c
5
r
p
2
c
1
r
12
c
5
+
p
2
c
3
r
12
c
5
X
n
=0
ψ
2
n
+
m
P
2
n
+1
,rr
+
+
c
4
c
1
3
c
3
12
c
5
r
2
3
p
2
c
1
12
c
5
+
p
2
c
3
12
c
5
X
n
=0
ψ
2
n
+
m
P
2
n
+1
,r
(
c
2
+
c
3
)
c
4
12
c
1
c
5
r
m
2
X
n
=0
ψ
2
n
+
m
P
2
n
+1
,rr
+
m
3
r
2
X
n
=0
ϕ
2
n
+
m
P
2
n
+1
!
+
+
r
+
c
3
12
c
5
r
p
2
c
1
r
12
c
5
c
4
c
1
1
r
2
p
2
X
n
=0
ψ
2
n
+
m
P
2
n
+1
c
2
c
4
m
4
12
c
1
c
5
r
X
n
=0
ψ
2
n
+
m
P
2
n
+1
ISSN 1812-3368. Вестник МГТУ им. Н.Э. Баумана. Сер. “Естественные науки”. 2011. № 2
57
1,2,3,4,5,6 8,9,10,11,12,13,14,15
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