PRINCIPLES OF STABILITY AND PERFORMANCE
Hi-Speed vs. Low-Speed Forces by Ron St. Jean
The basic idea is that some
adjustments or offsets are
mainly effective at low speeds,
while others have a greater effect at
high
speeds. When we understand which
is which, and the interaction
between forces, it not only allows
us to explain why we may
be having a problem in flight, but this knowledge permits us to take
effective corrective
measures. Adjustments and
offsets may be categorized into the two
types. This list
is not necessarily all-inclusive:
High
Speed
- rudder offset, wing wash in/out, decalage
(relative incidence)
and wing cocking (changes wash-in/out).
Low
Speed
- stab tilt, downthrust, side thrust,
spiral prop wash effect, CG location, weighted wing tip, drag flap and
engine torque.
A few
examples should serve to provide the understanding
needed to utilize this principle of
high speed and low speed adjustments. Although they are
probably most useful in free
flight power events because of the vast speed difference between
climb and glide speeds,
they should be of equal use in HLG and
some use in rubber events, as well
as in RC. The following illustrations
generally assume a power model:
1. Condition: Model tends to dive when first
launched, but
noses up as speed is gained.
Explanation:
At low air speeds either downthrust or a
nose heavy condition (low-speed) will nose the model down.
Incidence, being high-speed, noses the model up,
overcoming the low-speed factor as speed is gained.
Uses
of Condition:
The combination of downthrust and
incidence produces a stabilizing force in the longitudinal
mode. Should an under powered model tend to power stall
(e.g. a 1 /2 A Texaco) the
downthrust would predominate at
low speeds approaching the stall,
lowering the nose before
the stall is encountered. The nose lowering would then cause
speed to increase, and eventually
the incidence would take
over. Oscillations would eventually be replaced by a condition
of constant speed and angle of climb. Once equilibrium is
established, power changes will mainly change climb angle.
In the VTO era, vertical takeoffs were facilitated by
downthrust
working against incidence. With 10° down and
normal incidence on the moderately powered models of the
era, models could be launched straight up against a moderate
breeze without looping in. In those days, the model had to
stand on three pegs for takeoff. The low speed effect of the
downthrust
would cause the nose to pull into the wind while
speed was increasing.
Incidence and CG location are balanced for each
airplane to
produce the same kind of longitudinal glide stability discussed
above in regards to a low powered model in the climb
mode. Here, however, a forward CG is the force opposing
incidence so as to establish equilibrium. But as the CG is
moved aft and the incidence simultaneously reduced to
produce a slower glide and less drag due to incidence, a limit
is reached where incidence is no longer effective. Stability is
then totally lost, and the model "zeroes out." For each design,
then, there is an optimum CG location. At such point, there
will be sufficient decalage to provide
minimum stability and maximum performance. Moving the CG farther aft
of this point will require decalage
reductions in order to maintain a
stall-less glide, and thus increase performance at the sacrifice
of stability. Conversely, a forward CG shift will require more
incidence to compensate, and stability will be increased, but
at a sacrifice of performance. Models that are too nose heavy
need excess incidence in order to glide, and therefore will
loop under power.
2.
Condition:
Model tends to go strongly to the right when launched (perhaps
crashing), but assumes normal climb turn
after picking up speed.
Explanation:
Two low-speed factors can cause a model to
bank sharply to the right upon being launched-right thrust
and the effects of spiral prop wash. In the case of the latter,
the rotating prop wash impinges upon forward fuselage areas
creating both roll and yaw forces to the
right. It continues,
though somewhat diminished, to similarly impinge upon the
fin, creating a compensating left yaw force.
Uses
of Condition:
In some cases a model will loop before
going into a normal climb turn. When this happens
side
thrust may be added to help establish the turn before
the model loops. Or the design may
be changed to utilize spiral prop wash and thus avoid side
thrust:
Assuming
single engine tractor models with normal prop
direction of
rotation, a stronger right hand tendency may be had by
(a) deepening the forward
part of the fuselage (or raising the pylon),
(b) moving the thrust line
toward an
extreme position (either very high or very low),
(c) reducing fin area,
(d) moving the fin forward
to make its area less
effective,
(e) moving part or all of
the fin area to the stabilizer
tips to free it from prop wash impingement, and
(f) increasing
dihedral, which works similarly to decreasing fin area.
Conversely, doing the opposite of any of these will
reduce an
excessive low-speed right hand tendency.
One of the major reasons for the success of the Ramrod
design in the 50s was its strong natural right-hand tendency.
It was so strong that left rudder and left wing warp (right wing
washed in) was required to compensate and cause a
normal climb turn to the right.
This produced what is called
top rudder by full-scale pilots.
That is, the left rudder helps hold the tail down in a right
turn, thus preventing spiral
dives. These left offsets then aided longitudinal stability by
forcing the model into a tight
left glide circle at the bottom of a stall recovery. The high speed
encountered at the bottom of the stall makes rudder and wing
offsets strong enough to result in
about a 45° bank to the left. This prevents further
stalls. At the same time, the
stability provided by ample dihedral and incidence prevented
spiral dives in the glide.
3.
Condition:
Glide circle is nearly independent of rudder or
wing offsets.
Explanation:
A low-speed factor is causing glide circle.
Use
of Condition:
Prior to the discovery of low-speed
adjustments with which to control glide circle, adjusting a power
model often required much dangerous trial and error
if there was no natural glide circle. One method of achieving
the needed circle was to add rudder offset while compensating
with opposite side thrust. Quite often the two adjustments
were not balanced, and a crash resulted.
Today we can control power and glide circles almost
independently of each
other. Rudder is typically used for the power pattern, while
one of several low-speed adjustments may be used for
glide, stabilizer tilt being the favorite. But drag flaps and weighted
wing tips will work just as well.
4. Condition: A typical full scale light plane
requires right
rudder offsets during climb and left rudder offsets in
the glide, in order to maintain straight flight.
Explanation:
Torque is an insignificant
factor
in most FF models
because it is overpowered
by the effects of spiral
prop
wash.But because of
vast airframe differences,
most full scale air-craft are
especially susceptible
to the effects
of engine torque.
Some manufacturers have compensated for this low-speed
torque factor by introducing fin offset, a high-speed factor.
But it is normally only in the cruise mode that the two are
balanced to produce hands-off straight flight. During climb, speed is
reduced, but torque is increased due to added RPM.
In this condition the torque easily overpowers the
small fin offset, requiring right rudder to compensate. In a similar
manner, torque disappears in the glide, the fin offset takes over, and
left rudder is required.
Problem
Solution:
If right thrust were used to compensate
for torque instead of right fin offset, the effect of one low-speed
factor could be balanced with another. In addition, the
effect of the thrust offset would grow and diminish with the
torque, as both are functions of RPM. The Beech Bonanza for
example has had right and down thrust since 1964, when the
horsepower was increased from 225 to 285.
Ron
St. Jean, P.O.
Box 149, Yerrington, NV
89447.