Tuesday 19/3 .
We begin discussing the exercises on translation between mechanical and electric networks of last session.
Measurements for exercise 3, The harmonic Oscillator. An electric analogous model of a car suspension.
The goal of today is both to collect data and to process data in Matlab preliminary . The theoretical Compliance function should be coded in Matlab and displayed in a graph.
The Report is supposed to be handed over Friday 25/3 and should contain
- Diagrams of the mechanical and the analogous electric model.
- Estimation of realistic values of the mass and spring constant.
- Experimental data for the frequency dependent compliance (creep) J(ω). Justify that it is proportional to the complex ratio between the voltage, V across the capacitor and the voltage, U across the total circuit. Plot modulus of J(ω)/C against log(ω) and the phase of J(ω)/C against log(ω) for a quality factor Q=1 and Q=5.
- Make fits of data to theoretical curves.
- Calculate the dashpot constant λ for the chosen Q-value, which gives the car suspension the desired property.
- The suspension system of the car is more precisely a two-port. Draw the equivalent network diagram.
- Determine
theoretically the frequency dependent transferfunction, that is x2(ω)/ x1(ω) for F2(ω)=0.
- Set up a more refined model including the mass of the wheels and the elasticity of the tires. Draw the electric network diagram.