27.11.2012 Views

sin αst

sin αst

sin αst

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

LIST OF ATTACHMENTSBASIS FOR CALCULATIONS<br />

Load case G: Survival wind<br />

In this load case the rotor is spinning and the wind speed is Ve50 equal to 42 m/s, see table<br />

A.2.<br />

It is expected that Cl.max (see (A.12)) will occur on one of the blades due to variations in the<br />

wind direction, creating a root bending moment:<br />

128<br />

(A.18)<br />

This assumes a constant chord length and a triangular lift distribution which is equivalent<br />

to Cl.max at the tip and zero at the root of the blade. Further derivation is available in [5, p.<br />

175].<br />

The shaft is loaded by a thrust force given by<br />

The calculation of the thrust force is based on helicopter theory, where the thrust coeffi-<br />

cient is based on tip-speed rather than wind speed. Its value of 0.17 is found to be near<br />

constant for transient events [45]. The tip-speed ratio �e50 is determined by:<br />

Where �max is the assumed maximum rotational speed of (A.14).<br />

(A.19)<br />

(A.20)<br />

The shaft thrust force is combined with drag forces on the tower and the tail, resulting in a<br />

maximum tower load. The tail is assumed to be perpendicular to the wind and fully ex-<br />

posed. The area of the tower that contributes to drag is considered to be the part above the<br />

upper guy wire attachment.<br />

Drag force on tail:<br />

Where the projected tail area Aproj.tail is 1.04 m 2 and the drag coefficient Cf.tail is 1.5.<br />

Drag force on tower:<br />

M yB<br />

F xS<br />

�<br />

1<br />

Cl.max 6 � Ve50 2 Aproj.B R � 166 N m<br />

2 2<br />

� 0.17BAproj.B� e50 � Ve50 � 12.0 kN<br />

Ftail �<br />

� e50<br />

�<br />

� max � R<br />

V e50<br />

� 6.9<br />

1<br />

Cf.tail 2 � Ve50 2 Aproj.tail � 1.68 kN<br />

1<br />

FT CfT 2 � Ve50 2 �<br />

Aproj.T � 228 N<br />

(A.21)<br />

(A.22)

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!