Environmental Engineering Reference
In-Depth Information
S
h
s
h
S
h
2
G
+ G
)(
µ
+
µ
)
;
G
+ G
Q
21
YZ
YZ
zy
zy
YZ
YZ
λ =
;
q
=
b
=
.
.
(2.18)
S
h
s
h
E
+ E
E + E
XZ
XZ
z
z
In. the. future,. λ. and. q. will. be. called. the. coeficients. of. anisotropy. for. a.
sandwich/hybrid. carbon. iber. structure.. Therefore,. Equation. (2.16). can. be.
given.as:
2
F
x
2
F
y
q
Q
∂
∂
∂
∂
- B '(y) + C
.
+
λ
=
1
y
λ
.
(2.19)
2
2
Thus,.the.contour.of.proile.for.the.leading.and.trailing.edges.of.wind.tur-
bine.blades.is.represented.as:
.
f(y).=.λBφ(y),.to.f'(y).=.λBφ'(y).
(2.20)
Finally,.Equation.(2.20).can.be.shown.as:
2
2
∂
∂
F
x
∂
∂
F
y
q
Q
y - f'(y) + C
+
λ
=
.
.
(2.21)
2
2
1
Now,.we.introduce.a.new.stress.function,.ϕ(u,v).in.which:
.
u.=.λ/x;.v.=.y,.and.F(x,y).=.ϕ(x/λ,.y).
(2.22)
After.Equation.(2.19).is.differentiated.with.respect.to.x.and.y,.the.result.is.
Equation.(2.23):
2
2
2
2
∂
∂
F
x
∂
∂
φ
∂
∂
F
x
∂
∂
φ
.
=
λ
;
=
2
.
(2.23)
2
2
2
u
u
In.Equation.(2.21),.stress.function.F.is.replaced.with.a.new.stress.function.
ϕ.using.the.differential.expression.in.Equation.(2.23).
2
2
∂
∂
φ
∂
∂
φ
q
Q
+
λ
=
1
v - f (v) + C
′
(2.24)
2
2
u
v
We.can.designate:
λϕ(u,v).=.φ
1
(u,v).
(2.25)
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