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The Art of the Helicopter John Watkinson - Karatunov.net

The Art of the Helicopter John Watkinson - Karatunov.net

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

(a)<br />

(b)<br />

Fig. 4.11 (a) A teetering rotor has a single flapping hinge. <strong>The</strong> blades are rigidly connected toge<strong>the</strong>r in <strong>the</strong><br />

flapping and dragging axes and may be mounted at a typical coning angle to reduce stress. (b) In an underslung<br />

teetering head, <strong>the</strong> flapping hinge is elevated so that it approximately coincides with <strong>the</strong> CM <strong>of</strong> <strong>the</strong> rotor.<br />

bearing is <strong>the</strong>n raised above <strong>the</strong> fea<strong>the</strong>ring axes at <strong>the</strong> hub so that it is essentially at <strong>the</strong><br />

rotor CM. <strong>The</strong>re will <strong>the</strong>n be less vibration when <strong>the</strong> tip path axis is not parallel with<br />

<strong>the</strong> shaft axis. <strong>The</strong> result is called an underslung rotor shown in Figure 4.11(b). As <strong>the</strong><br />

rotor head itself tilts to stay in <strong>the</strong> plane <strong>of</strong> <strong>the</strong> rotor disc, <strong>the</strong> effect <strong>of</strong> Figure 4.5 cannot<br />

occur and so dragging hinges are not needed to overcome it. Forces due to varying drag<br />

in translational flight are resisted by blade stiffness.<br />

<strong>The</strong> rigid connection between <strong>the</strong> blades means that <strong>the</strong>ir dragging frequency will be<br />

very high. It will be seen in section 4.17 that this means no drag dampers are required.<br />

<strong>The</strong> undercarriage needs no damping to prevent ground resonance and can be a simple<br />

tubular skid arrangement. This fur<strong>the</strong>r reduces <strong>the</strong> weight <strong>of</strong> <strong>the</strong> machine.<br />

Two-bladed rotors have a disadvantage that both <strong>of</strong> <strong>the</strong> blades simultaneously enter<br />

a lift trough in forward flight at 90 ◦ and 270 ◦ <strong>of</strong> rotation. This causes a twice-perrevolution<br />

hop (two-per) at <strong>the</strong> hull. Later teetering rotors incorporated a degree <strong>of</strong><br />

flapping flexibility in <strong>the</strong> rotor head to decouple <strong>the</strong> hop from <strong>the</strong> hull. This is shown<br />

in section 4.20.<br />

At speed <strong>the</strong> hull <strong>of</strong> a zero-<strong>of</strong>fset machine tends to blow back because <strong>the</strong> drag D<br />

is applied a moment arm c below <strong>the</strong> suspension point as shown in Figure 4.12. At<br />

speed, <strong>the</strong> tail plane will have to apply a download T at moment arm b to counter <strong>the</strong><br />

blowback. As a result <strong>the</strong> shaft and tip path axes nearly coincide. In a machine with an<br />

articulated or flexural head <strong>the</strong> hinge <strong>of</strong>fset will generate a restoring couple if <strong>the</strong> hull<br />

is blown back so a less powerful tail plane is sufficient.<br />

4.10 Dangers <strong>of</strong> zero-<strong>of</strong>fset heads – negative g<br />

<strong>The</strong> main advantage <strong>of</strong> <strong>the</strong> zero-<strong>of</strong>fset rotor head is that no moments can be transferred<br />

to <strong>the</strong> mast from <strong>the</strong> blades and so <strong>the</strong> mast can be very light. <strong>The</strong> absence <strong>of</strong> dragging

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