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Getting the "Wright" Pitch
It is now 98 years later and a replica of the Wright Brothers' airplane,
the Flyer, is mounted in a wind tunnel at Ames Research Center. History
tells us that only the Wright Brothers could successfully pilot this airplane
design. According to the records that the brothers themselves kept, the
aircraft did not have good longitudinal stability. That means that it had
a tendency to pitch wildly when hit by a strong gust of wind. The AIAA pilots
need information about how this replica's longitudinal stability performs.
This information will assist the AIAA pilots to modify the replica so that
any of the pilots scheduled to fly the aircraft in 2003 will be able to
successfully maneuver the airplane.
To gather this data, researchers will place special instruments on various
parts of the airplane. Each instrument is designed to gather a specific
type of information. For example, some instruments will collect information
about how the air flows to the airplane. Other instruments will also measure
how fast the air flows or how great the air pressure is at certain points
along the aircraft. To gather the information needed by the AIAA pilots,
the balance will measure the forces and where those forces are located
along the center of gravity.
Remember, the center of gravity (CG) is the point where the entire weight
of the airplane is considered to be concentrated. On a paper airplane
you could find the general location of that point by balancing the paper
airplane on your finger. The point at which the airplane balances on your
finger would be considered the center of gravity (CG). All three motions
(roll, pitch, yaw) pass through this point. All four forces interact on
the airplane as it moves about this point.
Designing airplanes with static stability is important. (For the purposes
of our discussion we are not considering military jet fighters as some
form of instability is preferred which make these aircraft more quickly
maneuverable when managed by computer and pilot.) Stability is the tendency
of an airplane to fly with equilibrium on its flight path. To fly with
equilibrium means that the sum of all forces and moments acting on the
airplane will equal zero. See the graph below.
For example, let's look at an airplane that is flying straight and level.
For this airplane to fly with equilibrium in its straight and level flight
path, the four forces must be in balance. That means the lift will be
equal to the weight and the thrust will be equal to the drag. It also
means that there are no moments acting on it. These moments are trying
to make the aircraft rotate about the center of gravity either by pitch,
roll or yaw.
Now let's have the airplane encounter some minor turbulence. This turbulence
causes the airplane to nose up or increase its angle of attack. If the
airplane reacts to this disturbance by returning itself to its straight
and level flight path (without the pilot having to make the adjustments),
then the airplane has static stability.
Now let's have the airplane encounter some minor turbulence again. This
turbulence causes the airplane to nose up or increase its angle of attack.
If the airplane holds its new angle of attack after the turbulence has
passed, then it is considered to have neutral static stability.
We'll return the airplane to its state of equilibrium. Let's have it
encounter some more minor turbulence. This turbulence also causes the
airplane to nose up. Even after the turbulence has passed, however, the
airplane continues to nose up and does not automatically return to its
previous flight path without the pilot having to make adjustments in the
controls. This airplane is then considered to be "statically unstable".
When graphing data related to longitudinal static stability of an airplane,
the graphs of airplanes with static stability have a similar slope.
Let's take a look at some actual data and graph it. The chart on the
next page contains some hypothetical wind tunnel test data on a small
airplane. As researchers we will be considering only the columns marked
"Alpha (deg)" and "CM". The "Alpha (deg)" column tells us the angle of
the nose up or down relative to the airflow. This is the angle of attack.
Remember, increasing angle of attack will generally increase the amount
of lift.
The "CM" column gives us information about the amount of pitching moment
being generated by the airplane. A value (number) for CM that is positive
means the airplane is pitching its nose up, and a negative value means
the aircraft is pitching its nose down. The magnitude of the CM (the numbers
themselves) are an indication of how fast the aircraft is pitching. The
greater the absolute magnitude of the number, the faster the rotation
(or pitching moment) is.
The pitching moment was converted into a coefficient in a manner similar
to the lift coefficient and drag coefficient. This allows us to consider
the pitch test done at other velocities, and for other wind tunnel models
or aircraft that are otherwise identical, except for being a different
scale.
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