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1993 Ford Taurus

The questions below are due on Wednesday November 20, 2019; 11:59:00 PM.
 
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The figure shown below models the suspension of one quarter of a 1993 Ford Taurus. In the model, u_R represents a road-vibration velocity source, K_1 is the spring stiffness of the tire, M_1 is the mass of the wheel and axle, K_2 is the spring stiffness of the suspension spring, M_2 is the mass of one quarter of the car, and B is the damping coefficient of the shock absorber. The velocity u_C is representative of ride comfort; ideally it is zero.

Using the mobility analogy, an electrical network that models the car suspension can be derived as shown below. In particular it should allow the determination of u_C for a given u_R.

Using the mechanical parameters given below, determine the coefficients of the parameters in the electrical analog such that 1 V represents 1 m/s of mechanical velocity, and 1 uA represents 1 N of mechanical force. The mechanical parameters are typical of a Ford Taurus of the 1990s.

  • M_1: 45 kg
  • K_1: 2\times 10^5 N/m
  • M_2: 380 kg
  • K_2: 2.5\times 10^4 N/m
  • B: 1.2\times 10^3 Ns/m

L_1 (in Henries)

C_1 (in Farads)

L_2 (in Henries)

C_2 (in Farads)

R (in Ohms)