Keel effect

In aeronautics, the keel effect (also known as the pendulum effect or pendulum stability^[1]) is the result of the sideforce-generating surfaces being above (or below) the center of mass (which coincides with the center of gravity) in an aircraft. Along with dihedral, sweepback, and weight distribution, keel effect is one of the four main design considerations in aircraft lateral stability.^[2]

Mechanism

Examples of sideforce-generating surfaces are the vertical stabilizer, rudder, and parts of the fuselage. When an aircraft is in a sideslip, these surfaces generate sidewards lift forces. If the surface is above or below the center of gravity, the sidewards lift forces generate a rolling moment. This "rolling moment caused by sideslip" is "dihedral effect". Keel effect is the contribution of these side forces to rolling moment (as sideslip increases), i.e. keel effect is the contribution of the side forces to dihedral effect. Sideforce producing surfaces above the center of gravity will increase dihedral effect, while sideforce producing surfaces below the center of gravity will decrease dihedral effect.

Increased dihedral effect (helped or hindered by keel effect) results in a greater tendency for the aircraft to return to level flight when the aircraft is put into a bank. Or, reduces the tendency to diverge to a greater bank angle when the aircraft starts wings-level.

Keel effect is also called "Pendulum Effect" because a lower center of gravity increases the effect of sideways forces (above the center of gravity) in producing a rolling moment. This is because the moment arm is longer, not because of gravitational forces. A low center of gravity is like a pendulum (which has a very low center of gravity).

The effect is an important consideration in seaplane design, where pontoon floats generate strong sideforces with a long moment arm.^[3]

References

^ Hitchens, Frank (2015). The Encyclopedia of Aerodynamics. Andrews UK Limited. ISBN 9781785383250. Retrieved 13 September 2017.
^ Administration, Federal Aviation (2017). Pilot's Handbook of Aeronautical Knowledge. Skyhorse Publishing, Inc. ISBN 9781510726185. Retrieved 13 September 2017.
^ Flying Magazine. December 1945. p. 82. Retrieved 13 September 2017.

Illman, Paul; The Pilot's Handbook of Aeronautical Knowledge; Fig 2.34

[Hitchens2015-1] Hitchens, Frank (2015). The Encyclopedia of Aerodynamics. Andrews UK Limited. ISBN 9781785383250. Retrieved 13 September 2017.

[FAA2017-2] Administration, Federal Aviation (2017). Pilot's Handbook of Aeronautical Knowledge. Skyhorse Publishing, Inc. ISBN 9781510726185. Retrieved 13 September 2017.

[Flying1945-3] Flying Magazine. December 1945. p. 82. Retrieved 13 September 2017.

[1]

[2]

[3]