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Archive / FAA Rotorcraft Flying Handbook / FAA Rotorcraft Flying Handbook: Chapter 16 — Aerodynamics of the Gyroplane

Chapter 16 — Aerodynamics of the Gyroplane

Chapter 16 — Aerodynamics of the Gyroplane

FAA-H-8083-21 (2000)

Helicopters and gyroplanes both achieve lift through

the use of airfoils, and, therefore, many of the basic

aerodynamic principles governing the production of lift

apply to both aircraft. These concepts are explained in

depth in Chapter 2—General Aerodynamics, and con-

stitute the foundation for discussing the aerodynamics

of a gyroplane.

AUTOROTATION

A fundamental difference between helicopters and

gyroplanes is that in powered flight, a gyroplane rotor

system operates in autorotation. This means the rotor

spins freely as a result of air flowing up through the

blades, rather than using engine power to turn the

blades and draw air from above. [Figure 16-1] Forces

are created during autorotation that keep the rotor

blades turning, as well as creating lift to keep the air-

craft aloft. Aerodynamically, the rotor system of a

gyroplane in normal flight operates like a helicopter

rotor during an engine-out forward autorotative

descent.

VERTICAL AUTOROTATION

During a vertical autorotation, two basic components

contribute to the relative wind striking the rotor blades.

[Figure 16-2] One component, the upward flow of air

through the rotor system, remains relatively constant

for a given flight condition. The other component is the

rotational airflow, which is the wind velocity across the

blades as they spin. This component varies signifi-

cantly based upon how far from the rotor hub it is

measured. For example, consider a rotor disc that is 25

feet in diameter operating at 300 r.p.m. At a point one

foot outboard from the rotor hub, the blades are travel-

ing in a circle with a circumference of 6.3 feet. This

equates to 31.4 feet per second (f.p.s.), or a rotational

blade speed of 21 m.p.h. At the blade tips, the circum-

ference of the circle increases to 78.5 feet. At the same

operating speed of 300 r.p.m., this creates a blade tip

Direction of Flight

Relative Wind Relative Wind

Direction of Flight

Figure 16-1. Airflow through the rotor system on a gyroplane is reversed from that on a powered helicopter. This airflow is the

medium through which power is transferred from the gyroplane engine to the rotor system to keep it rotating.

Resultant Relative Wind

Wind due to Blade Rotation

Upward □

Airflow

Figure 16-2. In a vertical autorotation, the wind from the

rotation of the blade combines with the upward airflow to

produce the resultant relative wind striking the airfoil.

speed of 393 feet per second, or 267 m.p.h. The result

is a higher total relative wind, striking the blades at a

lower angle of attack. [Figure 16-3]

ROTOR DISC REGIONS

As with any airfoil, the lift that is created by rotor

blades is perpendicular to the relative wind. Because

the relative wind on rotor blades in autorotation shifts

from a high angle of attack inboard to a lower angle of

attack outboard, the lift generated has a higher forward

component closer to the hub and a higher vertical com-

ponent toward the blade tips. This creates distinct

regions of the rotor disc that create the forces neces-

sary for flight in autorotation. [Figure 16-4] The

autorotative region, or driving region, creates a total

aerodynamic force with a forward component that

exceeds all rearward drag forces and keeps the blades

spinning. The propeller region, or driven region, gen-

erates a total aerodynamic force with a higher vertical

component that allows the gyroplane to remain aloft.

Near the center of the rotor disc is a stall region where

the rotational component of the relative wind is so low

that the resulting angle of attack is beyond the stall

limit of the airfoil. The stall region creates drag against

the direction of rotation that must be overcome by the

forward acting forces generated by the driving region.

AUTOROTATION IN FORWARD FLIGHT

As discussed thus far, the aerodynamics of autorotation

apply to a gyroplane in a vertical descent. Because

gyroplanes are normally operated in forward flight, the

component of relative wind striking the rotor blades as

a result of forward speed must also be considered. This

component has no effect on the aerodynamic principles

that cause the blades to autorotate, but causes a shift in

the zones of the rotor disc.

As a gyroplane moves forward through the air, the for-

ward speed of the aircraft is effectively added to the

Resultant Relative Wind

Rotational Airflow (267 m.p.h. or 393 f.p.s.)

Upward Airflow□

(17 m.p.h. or 25 f.p.s.)

TIP

Rotor Speed: 300 r.p.m.

Resultant

RelativeWind

Rotational Airflow□

(21 m.p.h. or 31 f.p.s.)

Upward Airflow□

(17 m.p.h. or 25 f.p.s.)

HUB

VERTICAL AUTOROTATION

Figure 16-3. Moving outboard on the rotor blade, the rotational velocity increasingly exceeds the upward component of airflow,

resulting in a higher relative wind at a lower angle of attack.

Driven Region

Driving Region

Stall□□

Region

Driven Region□

(Propeller)

Driving Region□

(Autorotative)

Stall Region

VERTICAL AUTOROTATION

Rotational□

Relative Wind

Lift

Lift

TAF

TAF

Total□

Aerodynamic□

Force Aft□

of Axis of□

Rotation

Drag

Chord LineInflow Up□

Through Rotor Resultant□

Relative Wind

Total□

Aerodynamic□

Force□

Forward□

of Axis of□

Rotation

Drag

Inflow □

Axis of□

Rotation

Axis of□

Rotation

Axis of□

Rotation

(Blade is Stalled)

TAF

Drag

Inflow

Lift

Figure 16-4. The total aerodynamic force is aft of the axis of

rotation in the driven region and forward of the axis of rota-

tion in the driving region. Drag is the major aerodynamic

force in the stall region. For a complete depiction of force

vectors during a vertical autorotation, refer to Chapter 3—

Aerodynamics of Flight (Helicopter), Figure 3-22.

relative wind striking the advancing blade, and sub-

tracted from the relative wind striking the retreating

blade. To prevent uneven lifting forces on the two sides

of the rotor disc, the advancing blade teeters up,

decreasing angle of attack and lift, while the retreating

blade teeters down, increasing angle of attack and lift.

(For a complete discussion on dissymmetry of lift, refer

to Chapter 3—Aerodynamics of Flight.) The lower

angles of attack on the advancing blade cause more of

the blade to fall in the driven region, while higher

angles of attack on the retreating blade cause more of

the blade to be stalled. The result is a shift in the rotor

regions toward the retreating side of the disc to a degree

directly related to the forward speed of the aircraft.

[Figure 16-5]

REVERSE FLOW

On a rotor system in forward flight, reverse flow occurs

near the rotor hub on the retreating side of the rotor

disc. This is the result of the forward speed of the air-

craft exceeding the rotational speed of the rotor blades.

For example, two feet outboard from the rotor hub, the

blades travel in a circle with a circumference of 12.6

feet. At a rotor speed of 300 r.p.m., the blade speed at

the two-foot station is 42 m.p.h. If the aircraft is being

operated at a forward speed of 42 m.p.h., the forward

speed of the aircraft essentially negates the rotational

velocity on the retreating blade at the two-foot station.

Moving inboard from the two-foot station on the

retreating blade, the forward speed of the aircraft

increasingly exceeds the rotational velocity of the

blade. This causes the airflow to actually strike the

trailing edge of the rotor blade, with velocity increas-

ing toward the rotor hub. [Figure 16-6] The size of the

area that experiences reverse flow is dependent prima-

rily on the forward speed of the aircraft, with higher

speed creating a larger region of reverse flow. To some

degree, the operating speed of the rotor system also has

an effect on the size of the region, with systems operat-

ing at lower r.p.m. being more susceptible to reverse

flow and allowing a greater portion of the blade to

experience the effect.

RETREATING BLADE STALL

The retreating blade stall in a gyroplane differs from

that of a helicopter in that it occurs outboard from the

rotor hub at the 20 to 40 percent position rather than at

the blade tip. Because the gyroplane is operating in

autorotation, in forward flight there is an inherent stall

region centered inboard on the retreating blade. [Refer

to figure 16-5] As forward speed increases, the angle of

attack on the retreating blade increases to prevent dis-

symmetry of lift and the stall region moves further

outboard on the retreating blade. Because the stalled

portion of the rotor disc is inboard rather than near the

tip, as with a helicopter, less force is created about the

aircraft center of gravity. The result is that you may feel

a slight increase in vibration, but you would not experi-

ence a large pitch or roll tendency.

ROTOR FORCE

As with any heavier than air aircraft, the four forces

acting on the gyroplane in flight are lift, weight, thrust

and drag. The gyroplane derives lift from the rotor and

Forward

Driven Region

Driving Region

Stall□□

Region

Retreating□

Side

Advancing□

Side

Figure 16-5. Rotor disc regions in forward autorotative flight.

Forward□

Flight at□

42 kt

42kt

42kt

42kt

42kt2'

Area of□

Reverse flow

42kt

Rotor Speed 300 r.p.m.

Figure 16-6. An area of reverse flow forms on the retreating

blade in forward flight as a result of aircraft speed exceeding

blade rotational speed.

rotor blades turn, rapid changes occur on the airfoils

depending on position, rotor speed, and aircraft speed.

A change in the angle of attack of the rotor disc can

effect a rapid and substantial change in total rotor drag.

Rotor drag can be divided into components of induced

drag and profile drag. The induced drag is a product of

lift, while the profile drag is a function of rotor r.p.m.

Because induced drag is a result of the rotor providing

lift, profile drag can be considered the drag of the rotor

when it is not producing lift. To visualize profile drag,

consider the drag that must be overcome to prerotate

the rotor system to flight r.p.m. while the blades are

producing no lift. This can be achieved with a rotor sys-

tem having a symmetrical airfoil and a pitch change

capability by setting the blades to a 0° angle of attack.

A rotor system with an asymmetrical airfoil and a built

in pitch angle, which includes most amateur-built

teeter-head rotor systems, cannot be prerotated without

having to overcome the induced drag created as well.

THRUST

Thrust in a gyroplane is defined as the component of

total propeller force parallel to the relative wind. As

with any force applied to an aircraft, thrust acts around

the center of gravity. Based upon where the thrust is

applied in relation to the aircraft center of gravity, a rel-

atively small component may be perpendicular to the

relative wind and can be considered to be additive to

lift or weight.

In flight, the fuselage of a gyroplane essentially acts as

a plumb suspended from the rotor, and as such, it is

thrust directly from the engine through a propeller.

[Figure 16-7]

The force produced by the gyroplane rotor may be

divided into two components; rotor lift and rotor drag.

The component of rotor force perpendicular to the

flight path is rotor lift, and the component of rotor force

parallel to the flight path is rotor drag. To derive the

total aircraft drag reaction, you must also add the drag

of the fuselage to that of the rotor.

ROTOR LIFT

Rotor lift can most easily be visualized as the lift

required to support the weight of the aircraft. When an

airfoil produces lift, induced drag is produced. The

most efficient angle of attack for a given airfoil pro-

duces the most lift for the least drag. However, the air-

foil of a rotor blade does not operate at this efficient

angle throughout the many changes that occur in each

revolution. Also, the rotor system must remain in the

autorotative (low) pitch range to continue turning in

order to generate lift.

Some gyroplanes use small wings for creating lift when

operating at higher cruise speeds. The lift provided by

the wings can either supplement or entirely replace

rotor lift while creating much less induced drag.

ROTOR DRAG

Total rotor drag is the summation of all the drag forces

acting on the airfoil at each blade position. Each blade

position contributes to the total drag according to the

speed and angle of the airfoil at that position. As the

Lift

Resultant

Thrust

Resultant

Thrust

Lift

Resultant

Drag

Rotor□

Drag

Fuselage□

Drag

Resultant

Weight

Weight

Figure 16-7. Unlike a helicopter, in forward powered flight the resultant rotor force of a gyroplane acts in a rearward direction.

subject to pendular action in the same way as a heli-

copter. Unlike a helicopter, however, thrust is applied

directly to the airframe of a gyroplane rather than being

obtained through the rotor system. As a result, different

forces act on a gyroplane in flight than on a helicopter.

Engine torque, for example, tends to roll the fuselage

in the direction opposite propeller rotation, causing it

to be deflected a few degrees out of the vertical plane.

[Figure 16-8] This slight “out of vertical” condition is

usually negligible and not considered relevant for most

flight operations.

STABILITY

Stability is designed into aircraft to reduce pilot work-

load and increase safety. A stable aircraft, such as a typ-

ical general aviation training airplane, requires less

attention from the pilot to maintain the desired flight

attitude, and will even correct itself if disturbed by a

gust of wind or other outside forces. Conversely, an

unstable aircraft requires constant attention to maintain

control of the aircraft.

Reactive □

Torque on□

Fuselage

Torque □

Applied to□

Propeller

Figure 16-8. Engine torque applied to the propeller has an

equal and opposite reaction on the fuselage, deflecting it a

few degrees out of the vertical plane in flight.

Pendular Action—The lateral or

longitudinal oscillation of the fuse-

lage due to it being suspended

from the rotor system. It is similar

to the action of a pendulum.

Pendular action is further dis-

cussed in Chapter 3—

Aerodynamics of Flight.

There are several factors that contribute to the stability

of a gyroplane. One is the location of the horizontal

stabilizer. Another is the location of the fuselage drag

in relation to the center of gravity. A third is the

inertia moment around the pitch axis, while a fourth is

the relation of the propeller thrust line to the vertical

location of the center of gravity (CG). However, the

one that is probably the most critical is the relation of

the rotor force line to the horizontal location of the

center of gravity.

HORIZONTAL STABILIZER

A horizontal stabilizer helps in longitudinal stability,

with its efficiency greater the further it is from the

center of gravity. It is also more efficient at higher

airspeeds because lift is proportional to the square of

the airspeed. Since the speed of a gyroplane is not very

high, manufacturers can achieve the desired stability

by varying the size of the horizontal stabilizer, chang-

ing the distance it is from the center of gravity, or by

placing it in the propeller slipstream.

FUSELAGE DRAG

(CENTER OF PRESSURE)

If the location, where the fuselage drag or center of

pressure forces are concentrated, is behind the CG,

the gyroplane is considered more stable. This is espe-

cially true of yaw stability around the vertical axis.

However, to achieve this condition, there must be a

sufficient vertical tail surface. In addition, the gyro-

plane needs to have a balanced longitudinal center of

pressure so there is sufficient cyclic movement to

prevent the nose from tucking under or lifting, as

pressure builds on the frontal area of the gyroplane as

airspeed increases.

PITCH INERTIA

Without changing the overall weight and center of

gravity of a gyroplane, the further weights are placed

from the CG, the more stable the gyroplane. For exam-

ple, if the pilot's seat could be moved forward from the

CG, and the engine moved aft an amount, which keeps

the center of gravity in the same location, the gyroplane

becomes more stable. A tightrope walker applies this

same principle when he uses a long pole to balance

himself.

PROPELLER THRUST LINE

Considering just the propeller thrust line by itself, if the

thrust line is above the center of gravity, the gyroplane

has a tendency to pitch nose down when power is

applied, and to pitch nose up when power is removed.

The opposite is true when the propeller thrust line is

below the CG. If the thrust line goes through the CG or

nearly so there is no tendency for the nose to pitch up

or down. [Figure 16-9]

ROTOR FORCE

Because some gyroplanes do not have horizontal stabi-

lizers, and the propeller thrust lines are different, gyro-

plane manufacturers can achieve the desired stability

by placing the center of gravity in front of or behind the

rotor force line. [Figure 16-10]

Suppose the CG is located behind the rotor force line in

forward flight. If a gust of wind increases the angle of

attack, rotor force increases. There is also an increase

in the difference between the lift produced on the

advancing and retreating blades. This increases the

flapping angle and causes the rotor to pitch up. This

pitching action increases the moment around the center

of gravity, which leads to a greater increase in the angle

of attack. The result is an unstable condition.

If the CG is in front of the rotor force line, a gust of

wind, which increases the angle of attack, causes the

rotor disc to react the same way, but now the increase

in rotor force and blade flapping decreases the

moment. This tends to decrease the angle of attack, and

creates a stable condition.

TRIMMED CONDITION

As was stated earlier, manufacturers use a combination

of the various stability factors to achieve a trimmed

gyroplane. For example, if you have a gyroplane where

the CG is below the propeller thrust line, the propeller

thrust gives your aircraft a nose down pitching moment

when power is applied. To compensate for this pitching

moment, the CG, on this type of gyroplane, is usually

located behind the rotor force line. This location pro-

duces a nose up pitching moment.

Conversely, if the CG is above the propeller thrust line,

the CG is usually located ahead of the rotor force line.

Of course, the location of fuselage drag, the pitch iner-

tia, and the addition of a horizontal stabilizer can alter

where the center of gravity is placed.

Propeller Thrust

Propeller Thrust

Center of Gravity Center of Gravity

High ProfileLow Profile

RotorForce

RotorForce

Figure 16-9. A gyroplane which has the propeller thrust line above the center of gravity is often referred to as a low profile gyro-

plane. One that has the propeller thrust line below or at the CG is considered a high profile gyroplane.

Figure 16-10. If the CG is located in front of the rotor force line, the gyroplane is more stable than if the CG is located behind the

rotor force line.

Blade Flapping—The upward or downward movement of the rotor-

blades during rotation.

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