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hwk05_soln

# hwk05_soln - is the vertical road surface profile-z(t is...

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_ 1 _ ME 375 HOMEWORK #5 Spring 2010 Out: Feb. 10 th , 2010 Due: Feb. 17 th , 2010 Problem #1 (30%) The dynamics of vertical motion of a vehicle can be approximated with a simple 2 mass model, the “Quarter-car Model”. The model captures the interaction of the suspension stiffness and damping, the tire stiffness, the vehicle body mass and the tire/wheel mass with variations in the road surface. Where: - M is ¼ the vehicle body mass [kg]; m is the mass of one wheel/tire [kg] - K is the suspension spring stiffness [N/m]; C is the wheel stiffness [N/m] - B is the suspension damping constant [Ns/m] - x(t), the input

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Unformatted text preview: , is the vertical road surface profile -z(t) is the vertical position of the vehicle body -y(t) is the vertical position of the wheel Recall from HW 2 the coupled equations of motion are: (a) Consider the displacement z(t) as the output of the system. By implementing the Laplace transform, show that the transfer function from the input x(t) to the output z(t) is: (b) What is the corresponding input/output differential equation? M m K B C x(t) y(t) z(t) _ 2 _ _ 3 _ Problem #2 (30%) Problems 3.5 and 3.6 from the textbook. _ 4 _ Problem #3 (40%) Problems 3.19 and 3.20 from the textbook....
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