The Art of the Helicopter John Watkinson - Karatunov.net
The Art of the Helicopter John Watkinson - Karatunov.net
The Art of the Helicopter John Watkinson - Karatunov.net
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Introduction to helicopter dynamics 87<br />
rolling couple. As was seen in Chapter 2, <strong>the</strong> rotor is gyroscopic and so <strong>the</strong> cyclic pitch<br />
change is arranged to occur 90 ◦ ahead <strong>of</strong> <strong>the</strong> required result to allow for precession in<br />
<strong>the</strong> rotor.<br />
Figure 3.20(b) shows that <strong>the</strong> application <strong>of</strong> cyclic control tilts <strong>the</strong> thrust vector,<br />
and that <strong>the</strong>re will be a resultant <strong>of</strong> <strong>the</strong> thrust vector and gravity which is primarily<br />
horizontal but also has a slightly downward component. This is because <strong>the</strong> vertical<br />
component <strong>of</strong> <strong>the</strong> rotor thrust becomes smaller when <strong>the</strong> disc is tilted. As a result <strong>the</strong><br />
helicopter will accelerate sideways and lose height. To compensate, <strong>the</strong> pilot slightly<br />
raises <strong>the</strong> collective lever so that <strong>the</strong> vertical component <strong>of</strong> <strong>the</strong> thrust remains <strong>the</strong> same.<br />
3.19 Basic manoeuvres<br />
From <strong>the</strong> hover, <strong>the</strong> helicopter can be accelerated into translational flight by using<br />
cyclic pitch to tilt <strong>the</strong> disc. <strong>The</strong> greater <strong>the</strong> acceleration required, <strong>the</strong> more extreme will<br />
be <strong>the</strong> disc tilt and <strong>the</strong> greater <strong>the</strong> application <strong>of</strong> collective pitch. Figure 3.21(a) shows<br />
a helicopter at maximum horizontal acceleration. If done at low height, <strong>the</strong> blades can<br />
get very near <strong>the</strong> ground. Figure 3.21(b) shows that at constant speed and height <strong>the</strong><br />
thrust necessary to balance <strong>the</strong> drag <strong>of</strong> <strong>the</strong> pure helicopter comes from <strong>the</strong> horizontal<br />
component <strong>of</strong> <strong>the</strong> inclined rotor thrust. <strong>The</strong> vertical component <strong>of</strong> <strong>the</strong> rotor thrust must<br />
balance <strong>the</strong> weight <strong>of</strong> <strong>the</strong> machine. Clearly <strong>the</strong> rotor thrust must be greater than in <strong>the</strong><br />
hovering condition. <strong>The</strong> diagram simplifies <strong>the</strong> situation in that it assumes <strong>the</strong> drag <strong>of</strong><br />
<strong>the</strong> fuselage acts at <strong>the</strong> rotor hub, which is not actually <strong>the</strong> case. In practice <strong>the</strong> drag<br />
acts below <strong>the</strong> hub to produce a couple which would depress <strong>the</strong> nose. <strong>The</strong>re are two<br />
ways <strong>of</strong> dealing with that: using a rotor head which can apply an opposing couple from<br />
<strong>the</strong> blades and/or using a tail plane to produce a down thrust.<br />
Note that <strong>the</strong> tip path plane may be inclined forwards with respect to <strong>the</strong> hull so that<br />
<strong>the</strong> balance <strong>of</strong> forces is obtained with <strong>the</strong> hull level. In this condition <strong>the</strong> drag will be<br />
minimized and <strong>the</strong> occupants will be most comfortable. A consequence is that when<br />
<strong>the</strong> machine comes to <strong>the</strong> hover it will sit with a tail down attitude. <strong>The</strong> length <strong>of</strong> <strong>the</strong><br />
undercarriage legs or <strong>the</strong> angle <strong>of</strong> <strong>the</strong> skids is <strong>of</strong>ten arranged such that <strong>the</strong> machine can<br />
settle on <strong>the</strong> ground very nearly in this attitude.<br />
Tilting <strong>the</strong> disc accelerates <strong>the</strong> machine along, but bringing <strong>the</strong> disc back to <strong>the</strong><br />
horizontal only removes <strong>the</strong> acceleration, and <strong>the</strong> machine will continue along, slowing<br />
only because <strong>of</strong> drag. In order to stop, <strong>the</strong> disc must be tilted <strong>the</strong> opposite way to<br />
obtain acceleration in <strong>the</strong> opposite sense to reduce <strong>the</strong> velocity. Figure 3.21(c) shows<br />
a helicopter with maximum deceleration in a manoeuvre known as a quickstop. Note<br />
that <strong>the</strong> inflow has reversed so that a quickstop is actually a form <strong>of</strong> autorotation. Note<br />
that <strong>the</strong> tail boom is very low, and could strike <strong>the</strong> ground.<br />
Figure 3.21(d) shows a turn at speed. <strong>The</strong> turn changes <strong>the</strong> direction but not <strong>the</strong><br />
speed, so it is a change <strong>of</strong> velocity or acceleration. <strong>The</strong> acceleration must be towards<br />
<strong>the</strong> centre <strong>of</strong> <strong>the</strong> turn, and it is necessary to obtain a resultant sideways force to cause<br />
that acceleration. This is done by banking with lateral movement <strong>of</strong> <strong>the</strong> cyclic stick.<br />
Collective will need to be increased to maintain <strong>the</strong> vertical component <strong>of</strong> thrust equal<br />
to <strong>the</strong> weight. <strong>The</strong> machine will <strong>the</strong>n fly around as if on <strong>the</strong> surface <strong>of</strong> a cone until<br />
<strong>the</strong> desired heading is reached, when <strong>the</strong> bank will be taken <strong>of</strong>f and <strong>the</strong> collective<br />
reduced again. Note that in a 60 ◦ bank <strong>the</strong> thrust vector has to be twice that needed<br />
to hover in order to maintain height. <strong>The</strong> ratio <strong>of</strong> manoeuvre thrust to hover thrust<br />
is called <strong>the</strong> load factor. Not all machines can deliver that much power, and not all<br />
transmissions can accept it. However, some large transport helicopters can carry <strong>the</strong>ir