Environmental Engineering Reference
In-Depth Information
2
2
.
Fy =
ρω
r
cos
θ
r x dr d dx
θ
.
(2.2)
v
While.the.moments.about.the.x,y,z.axis.are:
2
2
.
Mx =
ρ ω
z
r r sin dr d dx
θ
θ
.
(2.3)
c
v
2
2
.
My =
ρ ω
r x r cos dr d dx
θ
θ
.
(2.4)
v
2
2
.
Mz =
ρ ω
r x r sin dr d dx
θ
θ
.
(2.5)
Here,. z
c
. is. a. distance. from. point. C—the. center. of. acting. hydrodynamic.
forces.to.axis.y..θ.is.the.angle.of.the.rotating.blade..Equation.(2.3).to.Equation.
(2.5).can.be.solved.as:
.
Fz.=.-.ρω
2
x.r
3
/3.cosθ.
(2.6)
.
Fy.=.ρω
2
x.r
3
/3.sinθ.
(2.7)
.
M
x
R.
=.-.ρ.z
c
.ω
2
x.cosθ.r
3
/3.
(2.8)
.
M
y
R.
=.-.ρ.ω
2
x
2
.cosθ.r
3
/6.
(2.9)
. M
z
R.
=.-.ρ.ω
2
x
2
.sinθ.r
3
/6. (2.10)
Bending.and.torsion.moment.will.be.changed.if.speed.wind.blades.change.
(Figure 2.3).
Change Bending & Torsion Moments
8000
Series 1
Series 2
Series 3
6000
4000
2000
0
1
2
3
Speed Wind Blades
4
5
FIGURE 2.3
Caption?. (From. Bronstead,. Lithoit,. and. Lystrup.. 2005..
Composite materials for wind power tur-
bine blades
.. Copenhagen:. Technical. University. of. Denmark,. Riso. National. Laboratory. for.
Sustainable.Energy..With.permission.)
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