CA-AA242B-Hw1-1 - AA 242B: Mechanical Vibrations (Spring...

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Unformatted text preview: AA 242B: Mechanical Vibrations (Spring 2010) Homework #1 - Part 1 Due April 14, 2010 This is the first part of a two-part homework focusing on developing a sim- plified analytical model of the longitudinal dynamics of an aircraft during the rollout phase of landing. Model Components The analytical longitudinal model to be developed contains three parts corre- sponding to: the aircraft body. a nose landing gear and two identical main landing gears. a nose wheel/tire subsystem and two identical main wheel/tire subsystems. The assembly of the components outlined above is graphically depicted in Figure 1 where two coordinate systems are shown: one attached to the ground ( X , Y , and Z axes) and one to the aircraft body ( x , y , and z axes). Both frames have their origin located at the center of gravity (CG) of the aircraft. Aircraft Body The aircraft body has a mass m and pitching moment of inertia around the Y axis I y . It is assumed to be rigid and to undergo a motion in the X- Z plane (which is also the x- z plane). The engine thrust, T , is assumed to act through the CG of the aircraft and to be aligned with the body x-axis for simplicity....
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CA-AA242B-Hw1-1 - AA 242B: Mechanical Vibrations (Spring...

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