Environmental Engineering Reference
In-Depth Information
P uniform load
Fiberglass cover
Carbon inner web
Deflection of hybrid cantilever bar
FIGURE 2.23
Delection.on.hybrid.cantilever.bar..
PL
8(E I + E I
3
ω =
.
.
(2.60)
)
c c
iw iw
Here:
E
c
.and.E
iw
.
=. modulus. of. elasticity. iberglass. covers. and. carbon. inner.
webs;
I
FC
.and.I
CW..
=. moment. of. inertia. iberglass. covers. and. carbon. inner.
webs.
Delection.on.hybrid.cantilever.bar.is.shown.in.Figure 2.23.
The. precise. solution. of. cantilever. bar. delection. with. elliptic. section. are.
found.in.the.work.of.Lekhnitski.
25
.
4
2
2
2
2
w =
p a
64D'
1 -
x
-
y
b
x
.
(2.61)
a
Here:
D' =
1
C =
a
2
4
.
8
[ 3D + 2(D + 2D )C + 3D C ];
b
.
.(2.62)
11
12
66
22
Here:
a.is.a.width.section;
b.is.a.height.section.(Figure 2.24).
The.stiffness.parameters.of.the.blade.structure.can.be.determined.as:
s
3
h
3
s
11
3
h
3
E h + E h
12[1 - (
E h + E h
12[1 - (
11
1
11
2
1
11
2
D =
)
;
D
=
1
2
s
s
h
h
s
s
h
h
µ µ
+
µ µ
µ µ
1
+
µ µ
)
12
21
12
21
12
2
12
21
.
. (2.63)
G h + G h
12[1 - (
s
3
h
3
12
1
12
2
D
; D
D
(
s
h
)
2
D
=
=
µ
+
µ
+
12
3
1
21
21
12
s
s
h
h
µ
µ
+
µ µ
)
12
21
12
21
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