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Dutch Roll

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Old 14th Feb 2005, 20:32
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Dutch Roll

So you are in your swept wing jet, you experience some sort of side gust, rudder input, who knows, anything that causes your aircraft to yaw (to the right for arguments sake). With this yaw will come some roll, in the same direction as the yaw.

THEN!!

The aircraft will settle, and head back to the left.

BUT!!

What is it EXACTLY that brings about the return to or past neutral to the left.

3 sources, 3 answers.

Bristow says the outside wing stalls.

H.T.B.J. says the vertical stab brings the nose back around.

Fly the Wing says you are in a sideslip.

3 sources, 3 answers.

With which one(s) do you agree??

I doubt Bristow, the outside wing stalling seems a little excessive. I am thinking more like a combo of the sideslip and the vertical stab theories.

Let's put it this way..... which way would an interviewer from, oh gee, let's say, I dunno, Cathay Pacific (for arguments sake) feel is the correct answer??
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Old 14th Feb 2005, 21:13
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This website gives a better explanation of answer 2, from Davies, which is the most correct (see the Shockwave at the bottom of page - this site is by a prof at Canada's Selkirk college).

http://142.26.194.131/aerodynamics1/...ity/Page5.html
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Old 15th Feb 2005, 02:56
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Dihedral-

The down wing increases the angle of attack and therefore creates lift.
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Old 15th Feb 2005, 05:55
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The Dutch Roll is basically a sideslip driven oscillation.

But, in order to drive the dynamic mode which is DR, you need static stability in both the lateral (roll) and directional (yaw) axis.

Directional stability is yawing moment due to sideslip, amongst other things this is driven by wing sweep and the vertical stabiliser (fin!).

Lateral stability is rolling moment due to sideslip, amongst other things this is driven by dihedral, CG below the wing, and wing sweep. Many textbooks refer to lateral stability as "dihedral effect".

If you look along the nose during DR it should describe a figure of eight, whilst if you look along the wingtip it describes an oval. This indicates that it's both roll and yaw related; if you see mostly yaw then directional stability (yaw due to sideslip) is predominant, if you see mostly roll then lateral stability (roll due to sideslip) is predominant.


As to whether it converges (dies out), is neutral (remains about the same) or diverges (becomes larger) is down to the degree of damping, or even if the aircraft's characteristics put more energy into the system.

I have to say, a stalling wing sounds rather extreme to me, possibly in a few oddball cases, but I'd not expect it in general.

To help understand this, imagine rolling a marble down the side of a bowl. Height up the side of the bowl is equivalent to sideslip. If you put some liquid in the bottom, it would be equivalent to increasing damping, if you tapped the marble down each time it came back up the side it would become negatively damped. Gravity is the basic force (static stability) that drives the oscillation.

G
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