Environmental Engineering Reference
In-Depth Information
h
z
0
é
ë
r c =
(11-24b)
where
dm
= mass of an incremental length of blade (kg)
r b
= average mass density of the blade section (kg/m 3 )
If the force of gravity is considered as deriving from an acceleration in the -Z direction, it
can be treated in a similar manner.
Distributed Loading on the Blade
The combined loading on a HAWT blade caused by aerodynamic forces, shaft rotation,
yaw motion, and gravity are
p h = dA h + m [( r W 2 b 0 + 2W f rc y + f rs y) s q p + v W 2 s q p c q p + e h W 2 c q p
+ mg ( c s q p + c q p s y - b 0 s q p c y)
(11-25a)
p z = dA z + m [- ( r W 2 b 0 + 2W f rc y + f rs y) c q p + v W 2 s q p
+ e h W 2 s q p c q p - v ] + mg (- c c q p + s q p s y + b 0 c q p c y)
(11-25b)
p x = m ( r W 2 + 2 v W s q p ) - mgc y
q h = v W 2 s q p I hh
(11-25c)
q z + - mr W 2 e h - v W 2 c q p s q p I hh + mge h c y
(11-25d)
q x = q x , a + W 2 s q p c q p ( I z z - I hh ) + mge h s yq p
(11-25e)
m =
ò
r b d h d z
(11-25f)
Section
1
m Section
ò
ò
(11-25g)
e h =
r b h d h d z
I hh =
ò
ò
r b z 2 d h d z
(11-25h)
Section
I hh =
ò
r b h 2 d h d z
ò
(11-25i)
Section
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