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A vehicle can be modeled with the simplified model in the figure. Mv, Jv, Mw, Kc, and
Kt represent the mass of the vehicle, its moment of inertia, the mass of each axle, the
stiffness of each axle, and the stiffness of each tire, respectively.
Mv=1500kg, Jv=1000kgm2, Mw=20kg, kc=200kN/m, kt=350kN/m, l1=2m, l2=2.5m
Determine the following:
The equation of motion
The natural frequencies and mode shapes
The automobile?s vertical and pitching motions as a function of time when the
road creates a displacement of 0.01cost m for each tire, where 100 rad/s. Mv
x3 kc kc x1 x2
kt kt 11 12
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