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Mathematical Problems in Engineering
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Table of Contents
Special Issues
Mathematical Problems in Engineering
/
2010
/
Article
/
Tab 1
/
Research Article
Control of Limit Cycle Oscillations of a Two-Dimensional Aeroelastic System
Table 1
System variables.
d
=
m
T
I
α
-
m
W
2
x
α
2
b
2
k
1
=
(
I
α
ρ
b
c
l
α
+
m
W
x
α
ρ
b
3
c
m
α
)
/
d
k
2
=
-
(
m
W
x
α
ρ
b
2
c
l
α
+
m
T
ρ
b
2
c
m
α
)
/
d
c
1
=
[
I
α
(
c
h
+
ρ
U
b
c
l
α
)
+
m
W
x
α
ρ
U
b
3
c
m
α
]
/
d
c
2
=
[
I
α
ρ
U
b
2
c
l
α
(
1
/
2
-
a
)
-
m
W
x
α
b
c
l
α
+
m
W
x
α
ρ
U
b
4
c
m
α
(
1
/
2
-
a
)
]
/
d
c
3
=
[
-
m
W
x
α
b
(
c
h
+
ρ
U
b
c
l
α
)
-
m
T
x
α
ρ
U
b
2
c
m
α
]
/
d
c
4
=
[
m
T
(
c
α
-
ρ
U
b
3
c
m
α
(
1
/
2
-
a
)
)
-
m
W
x
α
ρ
U
b
3
c
l
α
(
1
/
2
-
a
)
]
/
d
p
α
(
Y
)
=
-
m
W
x
α
b
k
α
(
Y
)
/
d
q
α
(
Y
)
=
m
T
k
α
(
Y
)
/
d
p
h
(
Y
)
=
I
α
k
h
(
Y
)
/
d
q
h
(
Y
)
=
-
m
W
x
α
b
k
h
(
Y
)
/
d
g
N
L
1
(
Y
)
=
(
c
s
ρ
U
2
b
)
(
c
l
α
I
α
+
m
W
x
α
b
2
c
m
α
)
α
eff
3
(
Y
)
/
d
g
N
L
2
(
Y
)
=
-
(
c
s
ρ
U
2
b
2
)
(
c
l
α
m
W
x
α
+
m
T
c
m
α
)
α
eff
3
(
Y
)
/
d