Chapter 3: Rotary Wing Stability
and Control
In the previous chapter I have discussed the
priciples of helicopter flight. Now I will discuss how it is controlled and some
control mechanisms to make it stable. But first I want to show the three dimensional
axis of a helicopter. These are: 1) "X" axis or the longitudinal
axis 2) "Y" axis or vertical axis 3) "Z" axis or lateral
axis Fig. 12 The Helicopter
Three Dimensional Axis of Rotation

The
X-axis or longitudinal axis of a helicopter rotates the aircraft by banking
left or right by the cyclic controls. This is similar to the rolling motion of
a fixed-wing aircraft the only difference is that fixed-wing aircraft uses aileron
while a helicopter uses the tilting of the main rotors either to the left or right.
The Y-axis or vertical axis rotates the fuselage by means of the tail rotor.
The tail rotors' variable pitch blades controls the degree of thrust to compensate
the torque or to steer the helicopter. In a fixed-wing aircraft, it uses rudder
as means of control. The Z-axis or lateral axis rotates the helicopter
by tilting the main rotor cyclic fore or aft. ( see Fig.
9 ) Now we will discuss more about the main rotors' control mechanism.
The type we will discuss is the flybar type although there are other types like
the hiller system and a fixed-pitch type main rotor blades for simplicity. The
flybar type is commonly used my most RC helicopters and trainer types because
of stability. As we have encountered before on our last chapter about gyroscopic
procession, you can see in Fig. 13 looking
at the main rotor on stationary mode or what I mean to say is when the rotor is
not yet moving. As the flybar paddle on side 1 goes down, flybar paddle on side
2 goes up. Similar to a seesaw that is why the mechanism that connect the flybar
to the rotor head is called a seesaw. Along
with the seesaw effect you see in the flybar is also the change in main rotor
blades' pitch or angle of attack. The blades' pitch rotates perpendicular to the
flybar. So whenever the flybar on side 1 goes down there is an increase in pitch
on blade #1 but a decrease in pitch on blade #2. So obviously the flybar who does
the control of tilting the main rotor blades to any lateral direction, 360 degrees.
Fig. 13 The Flybar, Flybarpaddle
Assembly and its' functions

Now
we will discuss the functions of the flybar, flybar paddle, main rotor blades
in motion. As rotor turns, those two paddle are shaped like an airfoil. These
are controlled by a universal link and rod to the swash plate. When the swash
plate tilts in the front, the link rod pulls down and rotates the flybar assembly.
The paddle then pushes the flybar downward because of the aerodynamic forces (
see Fig. 14 ). But, because of the law of
gyroscopic precession, the flybar will not drop down or push the flybar down in
THAT position, instead the application of force will react 90 degrees after
the clockwise motion. Remember it is also a rotating mass so the law still applies.
So the flybar will drop in front or where the swash plate is tilted. Then
as we go back to Fig. 13 as reference, the
main rotor blade also change the angle of attack ( i.e. pitch, angle of incidence
). When blade #2 reaches paddle on side 1 position as the whole
rotor system rotates clockwise, then it will change the angle of incidence too
like the flybar shown on Fig. 14 and will
push the main rotor blade on that position. The effect will be 90 degrees after
the application of force same as the flybar paddle. I hope this didn't make your
head spin. Just keep in mind the law of gyroscopic precession.
Fig. 14 The Flybar Assembly and Main Rotor in Motion

It's
not easy to understand how the main rotor blades tilt by the application of force
with the gyroscopic procession at work. It is also hard to explain and make illustrations
about it but for the sake of better understanding, I made a 3D model in autocad
and will illustrate the functions: 1) The first drawing
represents a rotating model helicopter main rotor mass. This is a fixed pitch
type, meaning the blade is constant pitch, not variable. The flybar rotates by
control input and hence changes the pitch of the paddle. The change in pitch created
a downward force that tends to pull down the flybar. But due to the gyroscopic
effect the flybay will not tilt down to that position because of the resistance
of the rotating flybar.
2) Hence, the flybar will tilt 90 degrees after the
application of force as you can see below. By tilting the flybar, the whole rotor
is tilted also so the main rotor blade pitch is changed as you can see. The change
in blade pitch creates a downward force in the that area but will not tilt because
of gyroscopic effect.

3)
Then the reaction will occur 90 degrees after the application of force. You
can see the angle of tilt below to show the area where reaction occurs. Then the
cycle continues with the paddle and flybar rotates and changes the pitch. I hope
the illustrations are helpful. Honestly I was not very familiar with this function
when I was just learning to fly rc helicopters. This is very important to keep
in mind while learning to hover. 
Now
the tail rotor. Simply just to counter act the torque generated by the main rotor,
shaft and engine. Without it the whole fuselage will spin opposite the direction
of the main rotor blades' rotation. So in Newton's Third Law States that "
For every action, there is an equal an opposite reaction". It will not
be possible to control the helicopter for sure. The pitch of the tail rotor blade
is variable in order to control the degree of pitch. Aside for counteracting the
main rotor torque, it is also used as directional control of the helicopter in
the Y-axis (vertical axis). And for stability, controlling it alone manually to
stabilize the fuselage is almost impossible because the variable conditions that
contributes. To mention a few, the throttle, specially during hovering you will
tend to adjust the throtle to compensate for the wind conditions. Tilting the
main rotors to balance the heli will affect the required power, hence constant
adjustment to the throttle is necessary. Fig.
15 How Main Rotor Torque is Counteracted by Tail Rotor 
So
the appearance of gyros ( not gyroscopic effect ), a small rotating disk housed
in a casing becames necessary to effectively control the tail rotor. This gizmo
is connected to the tail rotor servo to creates a dampening effect and stabilized
the fuselages rotation. When an external force is applied to the fuselage, either
a gust of wind, main rotor downwash, the tail rotors' will counteract by applying
an opposite force. Its like an autopilot. To illustrate further using an example
of driving a car. The steering wheel is our means of control to steer tha car
left or right. We balance the cars' direction by constantly steering the wheel.
If the car is moving to the right for example, maybe a strong wind is causing
it to go to the right, we will counteract by applying an opposite force. So this
is how a gyro works. There are some more to consider in the
tail rotor's stabilizing effect. We call it translating tendency. It is
the natural reaction of the helicopter to drift either left or right depending
on the main rotors' rotation and tail rotors' thrust. When the helicopter is in
a hovering mode, the tail rotor counteracts the main rotors' torque to keep the
fuselage steady. But the tail rotor is a creating a wind on the perpendicular
side of the fuselage so its' trying to drift the whole aircraft away. Fig.
16 Helicopter in Hover Mode Tend to Side-Slip 
To
counteract the drifting effect, we will again apply a counteracting force using
the main rotor cyclic control. We should tilt the main rotor on the opposite direction
where the aircraft is drifting to balance everything ( see Fig.
17 ). Fig.
17 Main Rotor is Tilted to Counteract Translating Tendency ( or Side-Slip )
When the helicopter is very close to the ground, the controls
are very sensitive due to thephenomenon called "ground effect" (
See Fig. 18 ). The rotor downwash hits the ground which creates a dampening
effect. Fig. 18 Ground
Effect Due to Main Rotor Down Wash
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