Principles of Flight — AeroplanesLektion 23 von 40
23/40Stability

Longitudinal (pitch) stability

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Longitudinal Stability (Pitch)

Longitudinal stability describes the aircraft's behaviour about the lateral axis (pitch) after a disturbance. It ensures the aircraft maintains pitch trim.

Mechanisms

1. Horizontal stabilizer

Main component for longitudinal stability:

  • Produces downward lift in normal flight (negative lift on the stab).
  • On pitch-up (nose up) → α at stab increases → more down-lift → nose-down pitching moment → corrects disturbance.

2. CG position

  • CG forward of aerodynamic centre (neutral point, NP) → stable.
  • CG aft of NP → unstable.
  • Static margin: NP − CG, in % of mean chord.
  • Typical GA: 5-15 % positive static margin.

3. Wing downwash

  • Downwash behind the wing affects α at the stab.
  • On pitch-up: less downwash → more α at stab → more correction.

Consequences of CG position

Forward CG

More stable flight:

  • Higher stall speed: more elevator travel required for high α → stab produces more down-lift → effectively more weight to be carried by the wing.
  • More damped pitch.
  • Higher yoke force for manoeuvres.
  • Better stall recovery.

Aft CG

Less stable:

  • Lower stall speed: less down-lift at stab needed.
  • More sensitive to pitch disturbances.
  • Easier to manoeuvre (less yoke force).
  • Reduced trim drag → more efficient.
  • Stall recovery harder (insufficient stab down-force).

Aft of NP (negative static margin)

  • Statically unstable.
  • Pilot must constantly correct.
  • In normal GA never certified.

Special case: CG limits in POH

Mass and balance (Subject 030) must keep CG within the forward and aft limits:

  • Forward limit: stability upper limit and yoke-force limit.
  • Aft limit: stability lower limit (static margin > 5%).
  • Pilot is responsible.

Pitch-axis oscillation modes

Phugoid

  • Long, damped oscillation between pitch and airspeed.
  • Mechanism: pitch-up → speed drops → less lift → nose drops → speed rises → lift returns → pitch-up.
  • Period: 30-90 s (typical GA).
  • Very damped in stable aircraft — oscillates 1-2 times and calms.
  • Pilot scarcely notices in normal flight.

Short-period pitch

  • Fast, short oscillation at nearly constant speed.
  • Mechanism: α change → stab responds → α corrected.
  • Period: 2-5 s.
  • Strongly damped in stable aircraft.

Trim system

  • Pilot trims the aircraft to desired pitch state.
  • Trim tab on elevator (variable) or anti-balance tab.
  • With correct trim: yoke can be released → aircraft holds pitch.

Tail designs

  • Conventional tail (Cessna 172): stabiliser + elevator.
  • T-tail (PA-28, DA-40): stabiliser on top of vertical fin.
  • All-moving stabiliser (stabilator): no separate stab+elevator. Example: Cherokee, Mooney.
  • Canard (forward instead of rear): Example: Velocity SE.

Efficiency aspects

  • Aft CG = lower trim drag → better range (airliners deliberately fly CG near aft limit).
  • Forward CG = more stable but higher drag.
  • Trade-off between stability and efficiency.

Stall with various CG positions

  • CG forward: stall at higher speed (no centre-of-mass correction needed), classic stall recovery.
  • CG aft: lower stall speed, but deep stall possible (stab in vortex field → no recovery effect). Very dangerous.

Construction measures

  • CG shift through loading or fuel burn (CG moves depending on tank location).
  • Trim system compensates.
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