Improved passenger comfort can be achieved by employing a semi-active suspension
ID: 1858971 • Letter: I
Question
Improved passenger comfort can be achieved by employing a semi-active suspension that controls the damping b in an automobile suspension in real-time. In order to design the control for such a suspension, it is common to employ a "sky-hook" model where the damper is connected to a fictitious fixed reference as shown below. The block m represents a quarter of the car mass and the suspension is modeled has having stiffness k. The dynamics of the tire are neglected in this model. Determine the equation of motion for the above system where the motion of the car body x(t) is defined to be equal to zero when the suspension is in static equilibrium. Make sure to include a free-body diagram. Find an expression for the motion of the car body in the Laplace domain X(s) for a step in ground height, u(t) = 1(t), assuming zero initial conditions. By changing the suspension's damping b through control, can you change the steady- state (final) ride height of the car body (x(infinity)) after experiencing the step input? Justify your answer.Explanation / Answer
try to write in partial fractions and use the formulae present.
you can have complete information about it in http://en.wikipedia.org/wiki/Laplace_transform