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Due: in class Friday Dec. 9, 2016
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.
Students work as a team to complete the computer project. Each team only needs to turn
in one report. Your report should include:
Listing of the computer program you developed
Your mathematical derivations and your numerical results
Plots of the vehicle?s vertical and pitching motions as function of time
Interpretation of your results. Mv
x3 kc kc x1 x2
kt kt 11 12
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