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The Art of the Helicopter John Watkinson - Karatunov.net

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118 <strong>The</strong> <strong>Art</strong> <strong>of</strong> <strong>the</strong> <strong>Helicopter</strong><br />

4.2 Why articulated rotors are used<br />

<strong>The</strong> variation in lift, lift distribution and drag as <strong>the</strong> blades turn, especially in forward<br />

flight, produces alternating stresses which can fatigue materials. <strong>The</strong> adoption<br />

<strong>of</strong> articulation was first suggested by Renard in 1904 and was essential in early rotorcraft<br />

to reduce <strong>the</strong> stresses involved, particularly <strong>the</strong> alternating stresses in <strong>the</strong> blades<br />

and <strong>the</strong> moments applied to <strong>the</strong> mast when rolling and pitching manoeuvres are performed.<br />

Some texts claim that articulation is necessary to handle <strong>the</strong> lift asymmetry in<br />

translational flight, but this is quite incorrect.<br />

In addition to <strong>the</strong> fea<strong>the</strong>ring bearing, <strong>the</strong> fully articulated rotor head carries each<br />

blade on freely turning bearings which allow flapping, or movement above or below<br />

<strong>the</strong> plane <strong>of</strong> <strong>the</strong> rotor head, and dragging, a swinging movement in <strong>the</strong> plane <strong>of</strong> <strong>the</strong><br />

blades which is also called lead/lag. <strong>The</strong> presence <strong>of</strong> <strong>the</strong> flapping and dragging bearings<br />

means that moments about <strong>the</strong>ir axes cannot be transferred from <strong>the</strong> rotor head to <strong>the</strong><br />

blades, and so bending stresses in <strong>the</strong> blade roots are dramatically reduced.<br />

Figure 4.2(a) shows one arrangement which has been widely used by, for example,<br />

Sikorsky and Enstrom. <strong>The</strong> fea<strong>the</strong>ring bearing is outboard <strong>of</strong> <strong>the</strong> flapping bearing.<br />

This arrangement has <strong>the</strong> advantage that <strong>the</strong> loads fed into <strong>the</strong> control system when<br />

<strong>the</strong> blades flap and drag are minimized. <strong>The</strong> flapping and dragging hinges can be<br />

displaced or coincident in various designs and this is considered in section 4.7.<br />

If <strong>the</strong> axes <strong>of</strong> <strong>the</strong> flapping hinges pass through <strong>the</strong> shaft axis, <strong>the</strong> result is called a<br />

zero-<strong>of</strong>fset rotor head and <strong>the</strong>se will be considered in section 4.10. In a conventional<br />

articulated head, <strong>the</strong> flapping bearings are horizontally displaced, or <strong>of</strong>fset, typically<br />

by a few per cent <strong>of</strong> <strong>the</strong> rotor diameter, and it will be seen from Figure 4.2(b) that<br />

blade tension can produce a control moment on <strong>the</strong> rotor head if <strong>the</strong> shaft is not at<br />

right angles to <strong>the</strong> tip path plane. Consequently <strong>the</strong> hull tends to follow <strong>the</strong> disc better<br />

when <strong>of</strong>fset is employed and so <strong>the</strong> machine becomes more manoeuvrable, although a<br />

stronger mast is needed to withstand <strong>the</strong> moments.<br />

4.3 Axes galore<br />

Whe<strong>the</strong>r by flexing or by movement <strong>of</strong> a bearing, each blade can flap and fea<strong>the</strong>r as it<br />

rotates. A consequence <strong>of</strong> <strong>the</strong>se degrees <strong>of</strong> freedom is that three rotational axes need<br />

to be considered when studying <strong>the</strong> behaviour <strong>of</strong> a turning rotor. <strong>The</strong> way in which<br />

<strong>the</strong>se axes interrelate is fascinating and allows an insight into <strong>the</strong> behaviour <strong>of</strong> a blade<br />

in flight.<br />

Figure 4.3(a) shows a helicopter with an articulated rotor in forward flight. <strong>The</strong> cyclic<br />

stick will need to be trimmed forward to maintain airspeed, since this will reduce <strong>the</strong><br />

angle <strong>of</strong> attack <strong>of</strong> <strong>the</strong> advancing blade and increase that <strong>of</strong> <strong>the</strong> retreating blade, so that<br />

<strong>the</strong>y generate equal lift moments. <strong>The</strong> stick will also need to be trimmed towards <strong>the</strong><br />

retreating side to oppose <strong>the</strong> inflow roll. <strong>The</strong> tip path plane is tilted forward to obtain<br />

a forward component <strong>of</strong> rotor thrust to balance drag.<br />

4.3.1 <strong>The</strong> shaft axis<br />

<strong>The</strong> most obvious, and least useful, <strong>of</strong> <strong>the</strong>se axes is <strong>the</strong> shaft axis on which <strong>the</strong> rotor<br />

head turns. An observer riding on <strong>the</strong> shaft axis could see flapping, dragging and<br />

fea<strong>the</strong>ring taking place simultaneously, but some <strong>of</strong> <strong>the</strong>se motions could disappear at<br />

certain relationships between <strong>the</strong> shaft axis and <strong>the</strong> o<strong>the</strong>r two axes.

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