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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280 <strong>The</strong> <strong>Art</strong> <strong>of</strong> <strong>the</strong> <strong>Helicopter</strong><br />
instrument is turned bodily about a vertical axis, <strong>the</strong> rigidity <strong>of</strong> <strong>the</strong> gyro will keep <strong>the</strong><br />
gimbals fixed, and so <strong>the</strong> action <strong>of</strong> moving <strong>the</strong> instrument case around <strong>the</strong>m will rotate<br />
<strong>the</strong> scale and indicate <strong>the</strong> angle through which <strong>the</strong> unit has turned.<br />
<strong>The</strong> gyro axis is maintained horizontal by tying <strong>the</strong> gyro to <strong>the</strong> vertical gimbal ring.<br />
In an air-driven gyro <strong>the</strong>re is already a stream <strong>of</strong> exhaust air leaving <strong>the</strong> rotor shroud.<br />
In an electrically operated gyro <strong>the</strong> rotor can be designed to act as a blower to produce<br />
an air jet. <strong>The</strong> air stream from <strong>the</strong> shroud impinges upon a wedge-shaped plate on <strong>the</strong><br />
vertical gimbal ring. If <strong>the</strong> gyro axis (or <strong>the</strong> horizontal gimbal ring) is not at right angles<br />
to <strong>the</strong> vertical ring, <strong>the</strong> airflow will produce an imbalanced force on <strong>the</strong> vertical ring,<br />
tending to turn it. <strong>The</strong> direction <strong>of</strong> this force is such that it will cause <strong>the</strong> gyroscope<br />
slowly to precess in a direction that will bring <strong>the</strong> inner ring to rest at 90 ◦ to <strong>the</strong> outer<br />
or vertical ring.<br />
As a result <strong>the</strong> gyro axis is aligned with <strong>the</strong> long-term average attitude <strong>of</strong> <strong>the</strong> helicopter<br />
about <strong>the</strong> roll axis. Compared to <strong>the</strong> slow rate <strong>of</strong> precession in <strong>the</strong> tying process,<br />
manoeuvres <strong>of</strong> <strong>the</strong> helicopter are very rapid and average out. In flight a turn would<br />
be accompanied by banking, but <strong>the</strong> gyro would maintain its axis because <strong>the</strong> inner<br />
gimbal can pivot in <strong>the</strong> outer.<br />
Although more accurate in a manoeuvre than a mag<strong>net</strong>ic compass, <strong>the</strong> DI does suffer<br />
from minor geometric errors. <strong>The</strong> outer gimbal has two sets <strong>of</strong> bearings at 90 ◦ , and<br />
essentially is acting as a Hooke joint between <strong>the</strong> gyro and <strong>the</strong> display card. As has<br />
been seen elsewhere in this volume, <strong>the</strong> Hooke joint is not a constant velocity joint,<br />
but suffers from cyclic angular errors when <strong>the</strong> input and output axes are not parallel.<br />
<strong>The</strong> result is that <strong>the</strong> DI reading is slightly out due to what is called gimballing error.It<br />
should be pointed out that gimballing error is very small and disappears when straight<br />
and level flight resumes.<br />
<strong>The</strong> occurrence <strong>of</strong> gimballing error depends on <strong>the</strong> orientation <strong>of</strong> <strong>the</strong> gyro axis with<br />
respect to <strong>the</strong> helicopter’s yaw axis. In <strong>the</strong> general case where <strong>the</strong> gyro axis is not<br />
transverse to <strong>the</strong> flight path, a roll will cause gimballing error. In <strong>the</strong> special case where<br />
<strong>the</strong> gyro axis is transverse, a combined roll and pitch change will be needed to cause a<br />
gimballing error.<br />
Figure 7.14 showed that with <strong>the</strong> DI gyro axis horizontal, <strong>the</strong> rotation <strong>of</strong> <strong>the</strong> earth<br />
causes apparent drift at a rate given by multiplying <strong>the</strong> earth rate, 15 ◦ /hr, by <strong>the</strong> sine<br />
<strong>of</strong> <strong>the</strong> latitude. For example, on <strong>the</strong> south coast <strong>of</strong> England at Lat. 51 ◦ N <strong>the</strong>re will be<br />
a DI earth drift rate <strong>of</strong> just under 10 ◦ /hr.<br />
In some units it is possible to compensate <strong>the</strong> DI for earth rate mechanically. <strong>The</strong> inner<br />
gimbal ring is deliberately imbalanced by a nut on an arm so that gravity produces a<br />
slight rolling torque on <strong>the</strong> gyro. <strong>The</strong> gyro will precess this into a yaw and when correctly<br />
adjusted <strong>the</strong> rate <strong>of</strong> yaw will be equal to <strong>the</strong> earth rate for <strong>the</strong> latitude at which <strong>the</strong><br />
machine is normally operated so that <strong>the</strong> drift is cancelled. In more sophisticated DIs,<br />
<strong>the</strong>re may be an adjustable earth rate compensator having a control which is set to <strong>the</strong><br />
current latitude and a switch to select <strong>the</strong> sense <strong>of</strong> <strong>the</strong> compensation for <strong>the</strong> appropriate<br />
hemisphere. A latitude-dependent current is generated and sent to a torque motor in<br />
<strong>the</strong> DI fitted between <strong>the</strong> inner and outer rings. This applies torque to roll <strong>the</strong> inner<br />
ring, but <strong>the</strong> gyro precesses this into yaw. If <strong>the</strong> correct torque is applied for <strong>the</strong> latitude,<br />
<strong>the</strong> resultant precession rate will equal <strong>the</strong> earth rate and <strong>the</strong> DI drift will be minimal.<br />
In principle if <strong>the</strong> groundspeed, latitude and heading are known transport error can<br />
also be cancelled. This may be useful for flying near <strong>the</strong> mag<strong>net</strong>ic poles.<br />
However, most DIs rely on periodically being reset to <strong>the</strong> same reading as <strong>the</strong> mag<strong>net</strong>ic<br />
compass and are fitted with a control knob which is pushed in and turned to force<br />
<strong>the</strong> gyro round to <strong>the</strong> correct heading. Pushing in <strong>the</strong> knob also forces <strong>the</strong> gyro axis to<br />
be at right angles to <strong>the</strong> vertical ring, a process known as caging. Clearly <strong>the</strong> machine