stability lecture - lateral

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    AIRCRAFT STABILITY AND CONTROL

    STATIC LATERAL STABILITY AND CONTROL

    BY

    Y.K.SINHA

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    SIDE SLIP AND YAW ANGLE

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    LATERAL STABILITY

    Stability about the aircrafts longitudinal axis,

    which extends from the nose of the aircraft to its

    tail, is called lateral stability. This helps to stabilizethe lateral or rolling effect when one wing gets

    lower than the wing on the opposite side of the

    aircraft.

    It is the ability of the aircraft to recover from a rollwithout pilots intervention.

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    For a aircraft to be laterally stable

    Clshould be positive

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    There are four main design factors that

    make an aircraft laterally stable:

    Dihedral

    Wing placement on lateral stability

    Vertical tail placement on lateral stability

    Keel effect and weight distribution Sweepback

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    ESTIMATION OF DIHEDRAL EFFECT

    If a disturbance causes one wing

    to drop relative to the other, thelift vector rotates and there is a

    component of the weight acting

    inward which causes the

    airplane to move sideways in this

    direction. When wings havedihedral, the wing toward the

    free-stream velocity, hence the

    lower wing, will experience a

    greater angle of attack than the

    raised wing and hence greaterlift. There results a net force and

    moment tending to reduce the

    bank angle.

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    Positive sideslip (nose left) creates an upward

    velocity on right wing and downward velocityon left wing

    Equivalent of downwash

    Increases angle of attack over right wing,decreases angle of attack over left wing

    Results in a rolling moment to the left

    The stabilizing effect of this configuration is

    known as the dihedral effect.

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    EFFECT OF WING PLACEMENT ON LATERAL STABILITY

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    EFFECT OF VERTICAL TAIL PLACEMENT ON LATERAL STABILITY

    INTERFERENCE OF WING ON VERTICAL PALNE

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    During flight, the side area of the

    airplane's fuselage and vertical finreact to the airflow in much the

    same manner as the keel of a ship.

    That is, it exerts a steadying

    influence on the airplane laterally

    about the longitudinal axis. Such

    laterally stable airplanes areconstructed so that the greater

    portion of the keel area is above

    and behind the center of gravity.

    Thus, when the airplane slips to

    one side, the combination of the

    airplane's weight and the pressureof the airflow against the upper

    portion of the keel area (both acting

    about the CG) tends to roll the

    airplane back to wings-level flight.

    EFFECT OF VERTICAL TAIL PLACEMENT ON LATERAL STABILITY OR

    KEEL EFFECT

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    Sweepback

    The secondary effect of sweepback is to improve

    lateral stability. When a side-slip

    occurs, the lower wing presents a larger span as

    seen from the direction of the approaching air,

    and as with dihedral, the effect is to roll the

    aircraft back towards the horizontal.

    In general, as the sweepback angle is increased

    the dihedral angle will be reduced.

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    Airbus380

    HARRIER

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    EFFECT OF FLAP DEFLECTION ON LATERAL STABILITY

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    EFFECT OF POWER ON LATERAL STABILITY

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    LATERAL CONTROL

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    SPANWISE LIFT DISTRIBUTION

    DUE TO AILERON DEFLECTIONS

    LOAD DISTRIBUTION DUE

    TO ROLLING VELOCITY

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    At a given helix angle, the distance

    to complete a roll remains constant

    regardless of forward speed.

    The helix angle is the ratio of tip

    velocity in roll, pb/2, to the aircrafts

    forward velocity, V.

    E ti ti f L t l C t l P

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    Estimation of Lateral Control Power

    Strip IntegrationAssumptionThe airplane to be a single degree of

    freedom in roll about X AxisThe wing is considered to be a rigid structure with therolling moment arising due to aileron deflection (a)anddamping moment due to angular velocity (p)

    The two parameters rolling moment due to aand damping

    moment due to p can be evaluated by strip integration

    method

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    Note: For a given aileron deflection pb/2V is constant

    For a tapered wing

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    Aileron Reversal

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    End