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By Brett Snellgrove <Snelly14@cs.com>
Recently, with the introduction of small rigid
sections in paragliders like the Gin Boomerang and Apco Kera, I have noticed
there has been a great deal of interest from pilots wondering why larger
rigid sections, and entirely rigid wings, cannot be used in paragliders.
There appears to be an ongoing fascination with a
vehicle that combines the advantages of both hang gliding and paragliding.
Unfortunately there are some unique difficulties specific to paragliders
that may make rigidifying our soft wings very difficult if not impossible. I
have investigated and experimented with the concept for many years, and
think I have enough information to venture an informed opinion.
Positioning the major portion of an aircraft's
weight far below the wing is an excellent way to stabilize a wing, and
renders traditional methods like sweep back, tip washout and reflex in
flying wings, or canards and tails as used in more traditional aircraft,
unnecessary.
A very low payload however, when associated with connection to the wing by
lines rigid in tension but flaccid in compression, introduces a significant
problem with pitch, surge oscillation. This problem is kept to a minimum in
paragliders by using a very light, low inertia wing, and in using a soft
wing that can collapse at low angles of attack. As such, when the wing
surges following gust induced pitch back or stall, or encounters airflow at
a negative angle of attack to the wing, a portion of the wing collapses,
creating drag. The drag assists in bringing the wing back overhead. Add
weight and rigidity to the wing and you add considerable inertia to the
pitch, surge oscillation and remove the primary means of dampening that
oscillation. In rough air there's nothing to stop the wing surging right
under the pilot.
This is the major problem that leads to the failure of virtually every
attempt to add rigid sections of any significant size to paraglider wings.
The Forth Dimension, with its inflatable transverse centre spar, is a
classic example. The LD was said to be 11:1, so if a successful rigid
paraglider can be achieved the result would be clearly worthwhile.
In an effort to address these problems, I experimented with one-third scale
models, adding rigid reflex to a paraglider wing in the form of rigid batons
(soft reflex in a paraglider wing can simply blow down at low angles of
attack, this is why hang gliders use luff lines to hold the reflex in the
trailing edge). Such airfoil sections are auto stable and subject to far
less pitch surge oscillation, so they seem ideal for such a concept.
However, on testing the models, an immediate problem became apparent: the
batons would very easily tangle in the lines. The solution was simple - add
a transverse spar as well. This immediately eliminated the tangling problem,
but not the pitch surge issue.
A typical, non-reflexed airfoil is not stable on its own, and without
additional stabilizing devices, will tumble or rotate about the balance
point (the balance point, or centre of lift, is the place on the airfoil
where the lift can be considered to act about a single point and is
typically 1/3 to 1/4 the distance back from the leading edge of the total
chord or width of the wing). Paragliders prevent this tendency to rotate by
running lines to the front leading edge and rear trailing edge of the wing
down to comparatively heavy payload to hold the wing in a fairly rigid
relationship to the airflow and pilot. As such, wing pitch oscillations (or
tendency to rotate) are directly limited by the action of the pilot's weight
pulling the wing back to a level position relative to the airflow. A hang
glider, and indeed virtually all other aircraft, utilise different methods
to stabilise the wing. In the case of a hang glider, a single pilot
attachment is set somewhat ahead of the centre of lift or balance point of
the airfoil.
If you position the centre of gravity (in this case, the pilot) ahead of the
balance point at the centre of lift, you create a nose down tendency. Sweep
back and washout of the wing tips, and inboard reflex, create a countering
force to balance the nose down tendency and stabilise the wing. Think of it
like a see saw - as the passenger slides forward of the balance point, the
tendency to tilt down is countered by a downward force at the opposite end
of the see saw by air pressure pushing down on the upward deflected surfaces
providing balance. The further forward you slide on the see saw away from
the balance point, the more downward countering force is needed at the
opposite end. (The distance forward of the centre of gravity from the
balance point is called the static margin, and is a good measure of wing
stability. The greatest static margin is achieved by placing the downward
force at the end of a long lever - a typical tail.)
With such an arrangement, the wing is somewhat freer to float independently
of the influence of the pilot's weight - since aerodynamic forces now serve
the same purpose in returning the wing to neutral pitch after most
excursions. For example, if the wing is tilted down it flies faster,
additional air pressure on the reflexed, washout tips, or tail surfaces push
down on the rear of the wing tilting it back to neutral. As such, the pilot
can push the bar out or pull it in, or push the stick fore and aft, and let
go and the wing will return to neutral on its own - this is termed pitch
stability.
Because a typical paraglider airfoil is not auto-stable, and utilises the
pilot's weight to stabilise the wing, it is less free to adapt to the
oncoming airflow independently to the pilot weight. If a typical paraglider
wing is pitched up for example, since the pilot is in such a rigid
relationship to the wing, the wing will surge back as the pilot swings
forward; pitched down and the pilot will swing back. While resistance to
swing (or inertia) stabilises the wing, once the pilot is swinging the
resultant momentum can exacerbate, rather than dampen, the pitch and surge
oscillation.
Imagine, however, if a gust hit the wing and rather than pitching the wing
up and oscillating the wing back, swinging the pilot forward, the wing
itself simply tilted upward independently to the pilot. Then, due to the
inbuilt stability, came straight back down as the gust past with the pilot
remaining directly under the wing. This could be achieved by simply
suspending the pilot at a single point ahead of the balance point in the
same manner as a hang glider. Imagine the case of a surge: rather than the
wing swinging forward and tilting downward relative to the airflow (because
lines to the leading edge pull it down leading to a negative angle and
collapse), if the wing was not rigidly held at the leading edge, the wing
would be free to tilt upward (rather than pulled downward) as it surges
forward maintaining a neutral angle of attack relative to the airflow. There
would be no tuck under and the surge would be immediately dampened. So
rather than pitching up and down as the wing swings back and forward it
would simply translate forward and backward maintaining the same neutral
angle of attack relative to the airflow.
I decided, since I was using an auto stable airfoil, I would abandon the
traditional method of stabilising a paraglider with front and rear lines,
and attempt to stabilize my rigid paraglider in the same manner as a hang
glider. I suspended the payload from a transverse spar (ahead of the balance
point but back from the leading edge) from three lines (one from either end
of the spar and one from the middle to add support to the spar and prevent
upward bend under load). I ran lines from the leading edge and trailing edge
of both wing tip batons to the payload to control pitch and support the
tips, but rather than rigidly attaching the tip lines to the payload, these
lines ran through a pulley to allow the wing to float. There were only seven
lines in total. The pitch control system was such, that in the absence of
pilot input, the wing was free to float in pitch after the manner of a hang
glider.
In the models it worked well. I did some wind tunnel (house fan and
cardboard box) tests and found the wing could be tipped as far as 40 degrees
negative to the airflow and still pop back up when released, with no tuck
under. If a rigid paraglider ever becomes a viable proposition I suspect
this is the form it will most likely take. The model did appear to fly well
and tolerate turbulence to a great extent.
However, after some consideration I came to realise the inherent problem
with such a concept. In extreme turbulence even the most stable hang gliders
have been known to tuck and tumble. With the pilot rigidly and intimately
associated with the wing, he is free to exert control inputs during the tuck
and bring the wing under control - he also tumbles with the wing. In extreme
turbulence a rigid paraglider style wing suspended far above the pilot on
lines would tuck independently to the pilot, rendering the control lines
flaccid and inoperative. The tumbling wing would then tangle in the lines
creating an unrecoverable disaster. Whether a current soft paraglider would
be any safer in the sort of turbulence that would tumble such a rigid,
paraglider style wing, is a matter for debate, but what is certain is the
rigid wing would be unrecoverable once tangled. Unfortunately it's the sort
of problem that only becomes apparent at the worst possible time, and I have
no intention of finding out the hard way as a test pilot.
As such I turned my focus in a different direction - rather than trying to
evolve a paraglider toward a hang glider, perhaps a hang glider could be
modified to make it more like a paraglider. I began to consider various
ideas for making a hang glider lighter and more portable with convenience
approaching a paraglider. I investigated various bowspit designs, and even
looked into cable leading edge wings like the Whitney porta-wing of the mid
70's, but none seemed to offer sufficient performance advantages over
paragliders to make the effort worthwhile. Those concepts that did, were not
sufficiently more portable than current hang glider wings. Then one
afternoon, while watching windsurfers setting up, I hit upon the idea of
eliminating the cross tube by curving and pre-loading the leading edge. I
built several working models with a fibreglass rod leading edge and even
took it to the radio controlled model stage, until one day when surfing the
web, I found an article about someone who had beaten me to it many years
earlier. This is the story of the Longbow.
The inventor was Bill Brooks, who is now chief technical officer for the
BMAA. At the time, 1992, he was working for Solar Wings. Basically, Bill was
also looking for something with the portability and convenience of a
paraglider and the performance of a hang glider. He wondered if a curved,
pre-loaded bow for the leading edge would eliminate the necessity for a
cross tube, kingpost and upper rigging, and allow the leading edge to be
removed and broken down for easy transport. Interestingly, like me, he also
got the idea from looking at windsurfers. But unlike me he took it a lot
further than the model stage and beat me to it.
To tolerate positive and negative loads, the leading edge bow needed a
radius of 14.8m and used 2 5/8' diameter aluminium 17swg HT30TF tube with 2
1/2' inner sleeve progressively tapering to 60mm 7075-t6 tube with 1mm wall
thickness at the tips. The leading edge broke down to five sections of 2.4m
and rolled inside the sail with the batons remaining inside the wing. The
fold up package was so small it could fit inside a small car for transport.
With a tube this large it was able to tolerate all positive and negative
loads without cable support and may have been the first true topless wing?
The leading edge tube was assembled from five sections and posted (slid)
into the wing sleeve, then loaded (bent) with a winch that was built into
the sail to provide the 180kg of pre-load required - taking about ten turns
to fill the sail. It was then held securely in place with a winch pin. The
lower lines were then attached to the leading edge boom and it was ready to
go. Assembly time was minutes.
The resulting tension in the wing was such that there was little tip washout
in flight, so weight-shift only roll control was poor. Furthermore, since
low sweep back was combined with minimal washout, reflex was required in the
wing batons for pitch stability. In some respects the wing was probably more
similar to a plank style flying wing than a hang glider.
Since roll control with weight shift alone was ineffectual, and wing tension
precluded a functional billow shift mechanism, D handles were added to the A
frame with lines that lifted the tip trailing edge to dump lift and provide
excellent roll control. This sounds very similar to the tip lifters
currently under investigation for augmenting roll control in stiffer, high
performance hang glider wings, but activated by hand controls rather than
coupled with weight shift. The advantage of hand controls meant the wing
could be more or less flown on the ground making ground handling very easy.
The disadvantage of permanent, built in reflex in a flying wing is pitch
stability comes at the cost of efficiency - reflex airfoil sections
typically have lower coefficients of lift. Kingposted hang gliders get
around this problem with tip washout and reflex that only comes in at lower
angles of attack when the sail blows down and the luff lines hold up the
trailing edge. This does however create a "hole" on pitch tests as the wing
approaches lower angles of attack before the reflex kicks in and becomes
effective.
On pitch testing of the Longbow there were no such "holes" at low incidences
on the pitch curve. The wing was pitch tested to 400kg positive 150kg
negative and proved stable up to 50mph. Internal struts held the trailing
edge up at low incidences (the first sprogs?). Furthermore, because of the
built in reflex, it was virtually impossible to stall. At sustained high
angles of attack the wing would oscillate, alternately throwing of tip
vortices rather than stalling the entire wing.
Since the wing was essentially topless, some of the inefficiency of a reflex
airfoil section was offset by reduced line and kingpost drag and the wing
was estimated to have an LD in the vicinity of 9:1. Comparable to the best
single surface hang gliders with far greater portability, significantly
reduced weight and set up time, and with greater control efficiency.
At the time of writing the wing had only been truck tested and in short
glides with S-turns off bunny hills. There had been no soaring flights as
the author was concerned with spiral dive tendency shown in models (low
sweep back and washout?).
The designer felt the weight and convenience could be further enhanced with
a composite leading edge tubes and Kevlar lines. He also felt the reflex
could be reduced and glide improved with a short V-tail. Solar Wings liked
the idea, but declined to take it any further as it was felt the flying
public would consider the concept too radical.
In later correspondence with an associate of Bill Brooks, I had the
opportunity to pass some questions on to Bill. He confirmed it was the
tendency of the wing models to spiral dive, and Solar Wings' lack of
interest, that put a halt to further development. He also said that Bill
felt the spiral dive tendency could be overcome with tip rudders, but this
would detract from the simplicity of the wing which was the whole point of
the concept. Some inbuilt dihedral in the wing would also solve the problem,
but would be difficult to achieve in a curved bow style leading edge.
Unfortunately, this was the last I've heard of it. Clearly, a wing with the
portability and convenience of a paraglider, and the performance and
handling characteristics of a hang glider (speed, wind penetration and
tolerance of turbulence) is an achievable goal. It may be achievable by
increasing paraglider rigidity (without reinventing the hang glider) but
this direction is fraught with aerodynamic and engineering problems. More
likely, the solution will be something along the lines of the Longbow.
Interestingly, Laurent Kalbernmatten designed a wing called the Woopy-fly,
which, despite external appearances, is similar in many ways to the Longbow.
By eliminating the curved leading edge and opting for a straight, internal
tube in what is essentially a elliptical, plank style wing, he was able to
add dihedral to the wing and likely eliminated the spiral dive tendency.
Rather than internal batons, he opted for an inflated, paraglider style wing
that utilises battery operated turbine motors and a closed leading edge to
maintain inflation. The wing has built in reflex for pitch stability, as the
pilot is positioned close to the wing rather than suspended far below,
losing the stabilising effect of the very low centre of gravity in a
paraglider. Roll control is achieved by a centre rudder, and coincidentally
the LD is said to be the same as the Longbow at 9:1.
Apparently the wing will be released for sale in the near future. Whether
pilots will accept such a radical concept will be interesting to see. My
personal feeling is reliance on battery operated motors for wing inflation
may deter some pilots. If this proves to be the case however, it should be a
simple matter to replace the inflated wing with a battened one with minimal
weight or convenience penalty.
Whether the end result is a rigid Woppy-fly or a straighter Longbow,
I'll leave to the experts to debate, but either way we might see a wing that
meets the requirement of both paraglider and hang glider pilots and all that
arguing over a combined magazine will be a thing of the past...
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