Environmental Engineering Reference
In-Depth Information
Piezoelectric
Effect
Aerodynamic Effect
Cantilever Beam Effect
v
a
P
a
+
1
2
2
a
v
C
P
a
-
P
b
ρ
=
P = P
a
-
P
b
Electrical
P
δ(
x
=
L
)
δ(
L
)
Constant
Tu rbulence/
Disturbance
2
6
EI
3
PZT
Material
+
-
) =
Px
PL
x
(3
L - x
)
δ(
L
) =
=
1
2
δ(
2
a
2
b
v
b
ρ(
v
-
v
)
3
EI
Power
P
b
+
1
2
Wind Flow
2
b
ρ
v
=
C
1
EI
1
EI
Boundary
Conditions
(Clamped)
δ˝(
x
) =
M
(
x
) =
(
P
(
L
-
x
))
2
P
EI
x
δ´(
x
) =
(
Lx
-
+
C
1
)
2
δ´(0) = 0
δ(0) = 0
C
1
= 0
C
2
= 0
2
EI
3
P
EI
Lx
x
δ(
x
) =
(
-
+
C
1
x
+
C
2
)
6
Conversion of wind power into electrical power through piezoelectric cantilever beam effect
Airfoil/Blade
Piezoelectric
Material
Wind Flow
into Page
v
a
v
a
δL
x
v
b
-δL
v
b
=
2.52
(64.0)
L
3.02
(76.7)
FIGURE 2.27
A diagram of the vibration-based piezoelectric wind energy harvester.
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