A bump. Then what?
A spring stores energy. A damper helps the movement settle. Release a displaced body and compare how damping changes its return to rest.
Underdamped
The body overshoots equilibrium, but each oscillation gets smaller as the damper dissipates energy.
Try thisCompare ζ = 0.35, 1 and 2 at the same release displacement. Scrub time to see which curves cross equilibrium.
What does a suspension damper do?
A damper resists suspension motion and dissipates energy as heat. A spring stores and returns energy; damping reduces the repeated oscillation that would otherwise follow a disturbance.
The mechanism,
in plain words.
Spring: store and return
Displacing the body changes spring force. A spring stores energy and returns it as the body moves. Without damping, this ideal model keeps oscillating.
Damper: dissipate energy
A viscous damper resists motion with force proportional to velocity. It removes mechanical energy as heat, reducing repeated oscillation.
Find critical damping
Below ζ = 1, motion oscillates. At ζ = 1, the system returns without oscillation as quickly as this model allows. Above 1, it returns more slowly without oscillation.
Try the comparison
Set damping to zero and release. Then reset at 0.35, 1 and 2. Keep the initial displacement the same to isolate the effect of damping.
One mass, one spring, one damper Model & sources
x″ + 2ζωₙx′ + ωₙ²x = 0. Here ωₙ = 5 rad/s. The plot and diagram use the same analytical solution, starting at rest.
MIT: damped harmonic oscillators ↗What this model simplifies. A linear, single-degree-of-freedom free-response model with fixed wheel position, zero initial velocity and natural angular frequency 5 rad/s. Positive displacement is downward. It omits tire compliance, road forcing, suspension geometry and nonlinear damping. Critical damping here is not a tuning recommendation for real cars.