The shock absorber is an important safety element. The primary goal is to maintain contact with the road rather than passenger comfort. Fortunately, these two objectives are achieved under the same conditions. To study how a vehicle behaves when faced with a disturbance such as a pothole or a curb, we can model this physical system as a mass + spring + damping. The study of such a system teaches us that there are only three types of responses to such an impulse (disturbance). The three regimes of transient responses are :
One might imagine that the last regime should be preferred. However, experience shows that it is preferable to tolerate a small oscillation, and the optimal setting turns out to be a pseudoperiodic regime close to the critical regime.
Despite all the care we can take in adjusting the values of k (stiffness constant) and c (damping coefficient), the shock absorber will not be able to play its role for all excitation frequencies. Another study is necessary. This is the study of the sinusoidal steady state, also called "harmonic study." It allows, in particular, to identify the resonance frequency, which characterizes the frequency at which the amplitude of oscillations is most intense, at the risk of breaking the shock absorber or the axle. To learn more about this study, watch the eduMedia animation on shock absorbers - harmonic regime.