An Impulse-Momentum Method for Calculating Landing-Gear Contact Conditions in Eccentric Landings Page: 4 of 61
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NACA TN 2596
The analysis is presented in a general form and is applicable to
any landing-gear configuration. The treatment permits the investiga-
tion of the relative importance of such factors as rate -of descent and
angular velocities at initial touchdown, side drift, wing lift, wheel
spin-up, and landing-gear energy-dissipation efficiency, as well as the
longitudinal and lateral locations of the landing-gear units with
respect to the rolling and pitching radii of gyration of the airplane.
The analysis treats eccentric impacts on one landing gear, simultaneous
impacts on any two gears, and symmetrical impacts. Since the terminal
conditions for any stage of the motion during a landing represent the
initial conditions for the next stage of the motion, the analysis per-
mits the determination of the behavior of the airplane during successive
impacts following the initial contact with the ground and also permits
a limited evaluation of the stability of the airplane as the landing
NOMENCLATURE AND SYMBOLS
The two principle sets of axes employed in the analysis are
defined as follows:
Body axes, a,b,c - This coordinate system moves with the airplane,
has its origin at the center of gravity of the airplane, and is described
a-axis parallel to arbitrary fuselage reference line, positive
b-axis normal to fuselage plane of symmetry, positive to right
c-axis normal to fuselage reference line in plane of symmetry,
Space axes, x,y,z - This coordinate system is a fixed system
having its origin at a point in the ground plane directly beneath the
center of gravity of the airplane at the instant of initial landing
impact and is described as follows:
x-axis formed by intersection of ground plane and plane containing
a-axis and being perpendicular to ground plane, positive
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Yntema, Robert T & Milwitzky, Benjamin. An Impulse-Momentum Method for Calculating Landing-Gear Contact Conditions in Eccentric Landings, report, January 1, 1952; (digital.library.unt.edu/ark:/67531/metadc56236/m1/4/: accessed September 19, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.