20.01.2013 Views

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

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.

otates <strong>the</strong> rod in <strong>the</strong> screw thread. Alternatively <strong>the</strong> drum may be replaced with a<br />

sprocket engaging a length <strong>of</strong> roller chain inserted in <strong>the</strong> wire.<br />

An elegant improvement is to couple <strong>the</strong> collective pitch setting into <strong>the</strong> tail rotor<br />

pitch controls so that to some extent torque variations are automatically compensated.<br />

<strong>The</strong> Westland Lynx has such a system.<br />

In larger machines a power assistance system may be necessary and this will be<br />

considered in Chapter 7.<br />

5.2 Balancing <strong>the</strong> torque<br />

<strong>The</strong> torque reaction <strong>of</strong> <strong>the</strong> main rotor is a pure couple, which is to say it has only a<br />

turning effect, and no resultant force in any direction. <strong>The</strong> tail rotor is mounted pointing<br />

sideways at <strong>the</strong> tail, and so <strong>the</strong> thrust it produces results in a moment about <strong>the</strong> centre<br />

<strong>of</strong> gravity <strong>of</strong> <strong>the</strong> machine. Unfortunately a moment cannot cancel a couple. <strong>The</strong> thrust<br />

<strong>of</strong> <strong>the</strong> tail rotor can be adjusted completely to cancel <strong>the</strong> rotation <strong>of</strong> <strong>the</strong> machine, but<br />

if <strong>the</strong> main rotor thrust is vertical, <strong>the</strong> tail rotor thrust will cause <strong>the</strong> machine to move<br />

sideways, a phenomenon called tail rotor drift. Tail rotor drift is prevented in <strong>the</strong> hover<br />

by tilting <strong>the</strong> main rotor disc in <strong>the</strong> opposite direction. Figure 5.2(a) shows that <strong>the</strong><br />

main rotor thrust can be resolved into a vertical component opposing <strong>the</strong> weight <strong>of</strong><br />

<strong>the</strong> machine, and a horizontal component. When <strong>the</strong> latter is equal to <strong>the</strong> tail rotor<br />

thrust, a perfect couple has been produced that opposes <strong>the</strong> main rotor torque reaction<br />

completely. <strong>The</strong> pitch <strong>of</strong> <strong>the</strong> tail rotor blades is controlled using <strong>the</strong> foot pedals. By<br />

disturbing <strong>the</strong> balance <strong>of</strong> <strong>the</strong> couples, yaw control is obtained.<br />

A very slight increase in rotor thrust is necessary so that <strong>the</strong> vertical component still<br />

balances <strong>the</strong> weight. <strong>The</strong> tilted attitude <strong>of</strong> <strong>the</strong> disc during hover can readily be seen.<br />

<strong>The</strong> hull may or may not tilt due to <strong>the</strong> disc tilt, depending on <strong>the</strong> design <strong>of</strong> <strong>the</strong> rotor<br />

head, <strong>the</strong> way <strong>the</strong> transmission is installed and <strong>the</strong> location <strong>of</strong> <strong>the</strong> tail rotor. If <strong>the</strong><br />

hull tilts, <strong>the</strong> CM <strong>of</strong> <strong>the</strong> helicopter, being some way below <strong>the</strong> rotor hub, will develop<br />

a rolling couple that can only be zero when <strong>the</strong> CM is directly below <strong>the</strong> rotor head.<br />

<strong>The</strong> final attitude <strong>of</strong> <strong>the</strong> hull will be at whatever angle this restoring couple balances<br />

<strong>the</strong> tilting couples from <strong>the</strong> rotor head and <strong>the</strong> tail rotor.<br />

Figure 5.2(b) shows that if <strong>the</strong> tail rotor thrust is not in <strong>the</strong> plane <strong>of</strong> <strong>the</strong> main rotor,<br />

<strong>the</strong>re will be a couple about an axis through <strong>the</strong> rotor head running in a fore-and-aft<br />

direction. <strong>The</strong> figure shows <strong>the</strong> situation viewed from <strong>the</strong> rear <strong>of</strong> a helicopter having<br />

a clockwise-from-<strong>the</strong>-top rotor and <strong>the</strong> tail rotor below <strong>the</strong> plane <strong>of</strong> <strong>the</strong> disc. In this<br />

case, <strong>the</strong> side force from <strong>the</strong> main rotor is above <strong>the</strong> side force from <strong>the</strong> tail rotor and<br />

this causes a clockwise roll couple called tail rotor roll.<br />

If <strong>the</strong> tail rotor is above <strong>the</strong> plane <strong>of</strong> <strong>the</strong> rotor (seldom seen in practice), <strong>the</strong> side force<br />

results in an anticlockwise couple. Clearly it is only when <strong>the</strong> tail rotor shaft is in <strong>the</strong><br />

plane <strong>of</strong> <strong>the</strong> main rotor hub that this couple will be zero, and helicopters which mount<br />

<strong>the</strong> tail rotor high on <strong>the</strong> top <strong>of</strong> <strong>the</strong> fin can achieve this elegant result, although <strong>the</strong>re<br />

are more important reasons for such a location, which will be explored in section 5.5.<br />

<strong>The</strong> reader is cautioned that some texts assert that <strong>the</strong> tail rotor must be mounted at<br />

<strong>the</strong> same height as <strong>the</strong> centre <strong>of</strong> mass to eliminate tail rotor roll, but this is incorrect.<br />

In fact if <strong>the</strong> tail rotor is mounted at <strong>the</strong> vertical centre <strong>of</strong> mass <strong>of</strong> <strong>the</strong> hull, <strong>the</strong> couple<br />

due to <strong>the</strong> different heights <strong>of</strong> <strong>the</strong> main and tail rotor side thrusts makes <strong>the</strong> hull tilt<br />

until it is balanced by <strong>the</strong> couple due to <strong>the</strong> laterally displaced CM. This is shown in<br />

Figure 5.2(c). <strong>The</strong> result is that <strong>the</strong> shaft axis and <strong>the</strong> tip path axis align and so <strong>the</strong>re<br />

is no lateral flapping and <strong>the</strong> type <strong>of</strong> rotor head is irrelevant because, with no flapping,<br />

<strong>The</strong> tail 169

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

Saved successfully!

Ooh no, something went wrong!