STABILITY and CONTROL Flashcards
(113 cards)
Stability is the tendency of ……………
Stability is the tendency of an aircraft to return to a steady state of flight without any help from
the pilot, after being disturbed by an external force.
What is a state of equilibrium (trim) ?
An aircraft is in a state of equilibrium (trim) when the sum of all forces is zero and the sum of
all moments is zero; there are no accelerations and the aircraft will continue in steady flight.
If equilibrium is disturbed by a gust, or deflection of the controls, the aircraft will experience
accelerations due to an unbalance of moments or forces.
Static Stability
The type of static stability an aircraft possesses is defined by its initial tendency, following the
removal of some disturbing force.
– Positive static stability (or static stability) exists if an aircraft is disturbed from equilibrium
and has the tendency to return to equilibrium.
–Neutral static stability exists if an aircraft is subject to a disturbance and has neither the tendency to return nor the tendency to continue in the displacement direction.
– Negative static stability (or static instability) exists if an aircraft has a tendency to continue in the direction of disturbance.
–The term “static” is applied to this form of stability since any resulting motion is not considered.
Only the initial tendency to return to equilibrium is considered in static stability.
AEROPLANE REFERENCE AXES
–In order to visualise the forces and moments on the aircraft, it is necessary to establish a set of reference axes passing through the centre of gravity.
–The longitudinal axis passes through the CG from nose to tail. A moment about this axis is a rolling moment, L, a roll to the right is a positive rolling moment.
–The normal axis passes Avertically@ through the CG at 90° to the longitudinal axis. A moment
about the normal axis is a yawing moment, N, and a positive yawing moment would yaw the
aircraft to the right.
–The lateral axis is a line passing through the CG, parallel to a line passing through the wing
tips. A moment about the lateral axis is a pitching moment, M, and a positive pitching moment
is nose up.
Thus, lateral stability is about the ………… axis (rolling), directional stability is about the ……….. axis (yawing) and longitudinal stability is about the ………….. axis (pitching)
Thus, lateral stability is about the longitudinal axis (rolling), directional stability is about the normal axis (yawing) and longitudinal stability is about the lateral axis (pitching)
Static longitudinal stability
–An aircraft will exhibit static longitudinal stability if it tends to return towards the trim angle of attack when displaced by a gust OR a control input.
–It is essential that an aircraft has positive static longitudinal stability. If it is
stable, an aeroplane is safe and easy to fly since it seeks and tends to maintain a
trimmed condition of flight. It also follows that control deflections and control
“feel” (stick force) must be logical, both in direction and magnitude.
What is Neutral stability ?
–If the aircraft is neutrally stable, it tends to remain at any displacement to which it is disturbed.
– Neutral static longitudinal stability usually defines the lower limit of aeroplane stability since it is the boundary between stability and instability. The aeroplane with neutral static stability may be excessively responsive to controls and the aircraft has no tendency to return to trim following a disturbance - generally this would not be acceptable.
When is an aircraft longitudinally unstable ?
–The aircraft which is unstable will continue to pitch in the disturbed direction until the
displacement is resisted by opposing control forces.
–The aeroplane with negative static longitudinal stability is inherently divergent from any intended trim condition. If it is at all possible to fly the aircraft, it cannot be trimmed and illogical control forces and deflections are required to provide equilibrium with a change of attitude and airspeed - clearly, this would be totally unacceptable.
What should be the pitching moment about the AC for an aircraft to be stable ?
–It should be noted that the pitching moment about the AC is negative (nose down) and that this negative (nose down) pitching moment about the AC does not change with changes in angle of attack.
–The pitching moment about the AC remains constant as the angle of attack is increased because
the magnitude of the lift force increases but acts through a smaller arm due to the CP moving
forward. It is only at the AC (25% chord) that this will occur. If a point in front of, or to the rear
of the AC were considered, the pitching moment would change with angle of attack.
–For the study of stability we will consider the lift to act at the AC. The AC is a stationary point
located at the 25% chord, only when the airflow is subsonic.
When a wing is considered alone, is it statically stable ?
A wing considered alone is statically unstable, because the AC is in front of the CG, Figure 10.6.
A vertical gust will momentarily increase the angle of attack and increase lift (ΔL), which, when
multiplied by arm ‘x’, will generate a positive (nose up) pitching moment about the CG. This
will tend to increase the angle of attack further, an unstable pitching moment. The wing on its
own would rotate nose up about the CG. Page 247
What is a neutral point ?
–The position of the CG when the sum of the changes in the tail moment and wing moment
caused by the gust is zero, is known as the neutral point.
–If you consider the CG moving rearwards from a position of static longitudinal stability:-
» the tail arm ‘y’ will decrease and the wing arm ‘x’ will increase; consequently,
» the (negative) tail moment will decrease and the (positive) wing moment will increase,
»Eventually the CG will reach a position at which the tail moment is the same as the wing moment. If a vertical gust were to displace the aircraft nose up, the sum of the moments will be zero and there will be no angular acceleration about the CG to return the aircraft towards its original position of equilibrium.
»Because there is no resultant moment, either nose up or nose down, the aircraft will remain in
its new position of equilibrium; the aircraft will have neutral static longitudinal stability.
What is static margin ?
–The distance between the neutral point and the aft CG limit gives the required minimum static stability margin.
–If the CG is positioned just forward of the neutral point, the tail moment will be slightly greater
than the wing moment (arm ‘y’ increased and arm ‘x’ decreased). A vertical gust which increases
the angle of attack will generate a small nose down angular acceleration about the CG, which
will gently return the aircraft towards its original position of trim (equilibrium).
–The further forward the CG, the greater the nose down angular acceleration about the CG - the
greater the degree of static longitudinal stability.
–Stability is the tendency of an aircraft to …………………, after being disturbed by an external force, without any help from the pilot.
–There are two broad categories of stability; ………………
–An aircraft is in a state of equilibrium (trim) when ……………………..
–The type of static stability an aircraft possesses is defined by …………………….
–Stability is the tendency of an aircraft to return to a steady state of flight, after being disturbed
by an external force, without any help from the pilot.
–There are two broad categories of stability; static and dynamic.
–An aircraft is in a state of equilibrium (trim) when the sum of all forces is zero and the sum of
all moments is zero.
–The type of static stability an aircraft possesses is defined by its initial tendency, following the
removal of some disturbing force.
–The longitudinal axis passes through …………….
–The normal axis passes “vertically” through ………………….
–The lateral axis is a line passing through the CG, parallel to ………………….
–The three reference axes all pass through the ………………….
–The longitudinal axis passes through the CG from nose to tail.
–The normal axis passes “vertically” through the CG at 90° to the longitudinal axis.
–The lateral axis is a line passing through the CG, parallel to a line passing through the wing tips.
–The three reference axes all pass through the centre of gravity.
–Lateral stability involves motion about the ………………….
–Longitudinal stability involves motion about the …………………….
–Directional stability involves motion about the …………………………
–We consider the changes in magnitude of lift force due to changes in angle of attack, acting through a stationary point; ………………………
–Lateral stability involves motion about the longitudinal axis (rolling).
–Longitudinal stability involves motion about the lateral axis (pitching).
–Directional stability involves motion about the normal axis (yawing).
–We consider the changes in magnitude of lift force due to changes in angle of attack, acting through a stationary point; the aerodynamic centre.
–The aerodynamic centre (AC) is located at the …………. chord position.
–The negative pitching moment about the AC ……………………………………….
–A wing on its own is …………………… because the ……………………….. because
–An upward vertical gust will momentarily ………. the angle of attack of the wing. The increased lift force magnitude acting through the AC ………………………………………….This is an ………………. pitching moment.
–The tailplane is positioned to generate a ……………………………..
–The aerodynamic centre (AC) is located at the 25% chord position.
–The negative pitching moment about the AC remains constant at normal angles of attack.
–A wing on its own is statically unstable because the AC is in front of the CG.
–An upward vertical gust will momentarily increase the angle of attack of the wing. The increased lift force magnitude acting through the AC will increase the positive pitching moment about the CG. This is an unstable pitching moment.
–The tailplane is positioned to generate a stabilising pitching moment about the aircraft CG.
–If the tail moment is greater than the wing moment the sum of the moments ………….. and the resultant …………… moment will give an angular acceleration about the CG.
–The greater the tail moment relative to the wing moment, the greater ………………………
–The tail moment is increased by moving the aircraft CG …………., which increases the ………. and decreases the …………………
–If the tail moment is greater than the wing moment the sum of the moments will not be zero and the resultant nose down moment will give an angular acceleration about the CG.
–The greater the tail moment relative to the wing moment, the greater the rate of return towards the original equilibrium position.
–The tail moment is increased by moving the aircraft CG forwards, which increases the tail arm and decreases the wing arm.
–If the nose down (negative) tail moment is ……….. than the nose up (positive) wing moment, the aircraft will have ………………….
–The position of the CG ……………………………………. is known as the neutral point.
–The further forward the CG, the greater the ………………. angular acceleration about the CG - the ………….. the degree of static longitudinal stability.
–If the nose down (negative) tail moment is greater than the nose up (positive) wing moment, the aircraft will have static longitudinal stability.
–The position of the CG when changes in the sum of the tail moment and wing moment due to a disturbance is zero, is known as the neutral point.
–The further forward the CG, the greater the nose down angular acceleration about the CG - the greater the degree of static longitudinal stability.
–The distance the CG is forward of the ………. will give a measure of the …………..; this distance is called the static margin.
–The greater the static margin, the greater the ……………………..
–The aft CG limit will be positioned …………………..
–The distance between …………………………… gives the required minimum static stability margin.
–An aircraft is said to be trimmed if all ………………………
–The distance the CG is forward of the neutral point will give a measure of the static longitudinal stability; this distance is called the static margin.
–The greater the static margin, the greater the static longitudinal stability.
–The aft CG limit will be positioned some distance forward of the neutral point.
–The distance between the aft CG limit and the neutral point gives the required minimum static stability margin.
–An aircraft is said to be trimmed if all moments in pitch, roll, and yaw are equal to zero.
Trim (equilibrium) is the function of the controls and may be accomplished by:-
Trim (equilibrium) is the function of the controls and may be accomplished by:-
a) pilot effort
b) trim tabs,
c) moving fuel between the wing tanks and an aft located trim tank, or
d) bias of a surface actuator (powered flying controls).
–The term controllability refers to the …………………
–A high degree of stability tends to reduce ……………………
–The stable tendency of an aircraft ……………… from trim equally, whether by pilot effort on the controls (stick force) or gusts.
–If the CG moves ……….., static longitudinal stability increases and controllability ……….(stick force …….).
–If the CG moves …….., static longitudinal stability ………….. and controllability increases (stick force ………..).
–The term controllability refers to the ability of the aircraft to respond to control surface displacement and achieve the desired condition of flight.
–A high degree of stability tends to reduce the controllability of the aircraft.
–The stable tendency of an aircraft resists displacement from trim equally, whether by pilot effort on the controls (stick force) or gusts.
–If the CG moves forward, static longitudinal stability increases and controllability decreases(stick force increases).
–If the CG moves aft, static longitudinal stability decreases and controllability increases (stick force decreases).
–With the CG on the forward limit, static longitudinal stability is ……, controllability is …… and stick force is ………
–With the CG on the aft limit, static longitudinal stability is ….., controllability is …….. and stick force is …….
–The aft CG limit is set to ensure a ……………………
–The fwd CG limit is set to ensure a ………………. under the worst circumstance.
–With the CG on the forward limit, static longitudinal stability is greatest, controllability is least and stick force is high.
–With the CG on the aft limit, static longitudinal stability is least, controllability is greatest and stick force is low.
–The aft CG limit is set to ensure a minimum degree of static longitudinal stability.
–The fwd CG limit is set to ensure a minimum degree of controllability under the worst circumstance.
–Positive static longitudinal stability is indicated by a ……… slope of ………….. The degree of static longitudinal stability is indicated by the ………..
–The net pitching moment about the lateral axis is due to …………….
–In most cases, the contribution of the fuselage and nacelles is ………….
–Positive static longitudinal stability is indicated by a negative slope of CM versus CL. The degree of static longitudinal stability is indicated by the slope of the curve.
–The net pitching moment about the lateral axis is due to the contribution of each of the component
surfaces acting in their appropriate flow fields.
–In most cases, the contribution of the fuselage and nacelles is destabilising.