1) Draw 1/4 car suspension model considering the body mass, main spring, viscous damper and define the input and output. Neglect the tire mass and tire stiffness.

2) Express the system model as TF and state space representation, respectively.

3) Choose proper parameters as numerical values and verify that the eigenvalues and poles are same

4) Draw the displacement and acceleration of the body mass (sprung mass) when the road profile is a unit step input.

5) Draw Bode plot of this passive suspension system considering a sinusoidal road input. Determine gain and phase margin of your system.

6) Improve suspension performance by changing the viscous coefficient of the damper and compare the results with 4)

7) In general, the viscous coefficient is optimized to achieve best performance in the passive suspension system. Do you have any idea how to optimize the viscous coefficient in practical environment?

8) Can you think of any active suspension system in which the viscous coefficient is controlled in real time to maintain the best performance regardless of the road conditions?