Environmental Engineering Reference
In-Depth Information
Symbol
Reference
DIN 1055-4
annex C
DIBt
guideline
Aerodynamic transfer
function (width)
R b
(C.16)
0.871
h b
(C.16)
0.21
R x
Squared resonance response
component of gust response
(C.11)
1.879
2.227
Coefficient
S
(C.8)
1.644
n E,0 [s 1 ]
Frequency of gust
response - quasi-static
(C.7)
0.109
n E [s 1 ]
Expected value of
frequency of gust response
(C.6)
0.258
0.258
Peak factor
g
(C.5)
3.364
3.364
Gust response factor
G
(C.4)
2.448
2.542
Dynamic pressures taking into account the gust response
a) Evaluation according to DIN 1055-4 [12]:
q j ¼ G q m ; j
where
q m,j average dynamic pressure in segment j (q m (z j ))
G
gust response factor to DIN 1055-4 [12]:
q
Q 0 þ R x
G ¼ 1 þ 2 g I v z ðÞ
b) Simplified calculation to DIN 1056 [13]:
q j ¼ w B q B ; j
where
q B,j dynamic pressure taking into account the gust response in segment j (q B (z j ))
w B gust response factor to DIN 1056 [13] 1) :
0019 T 1 Þd
0 : 63
w B ¼ Max
½
:
ð
1
:
05 h
=
1000
;
1
:
0
Þ
1 þð 0
:
042 T 1 0
:
with logarithmic damping decrement
d ¼ 0.10 (reinforced concrete in cracked state or at the
ultimate limit state)
1) Wind turbine example (5.2):
w B ¼ 1.0 [1 þ (0.042 3.46 0.0019 3.46 2 )/0.10 0.63 ]
¼ 1.523 (
<
G ¼ 2.448).
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