m·ẍ + c·ẋ + k·x = F(t)
Displacement x
0.00 m
Velocity ẋ
0.00 m/s
Damping ζ
0.10
Regime
Underdamped
1.0 kg
10.0 N/m
0.63 N·s/m
0.00 Hz
🚗
Car Suspension
🏢
Seismic Damper
⌚
Watch Spring
🌉
Tacoma Bridge
The spring-mass-damper is the universal model of mechanical engineering. Every vibrating system reduces to this equation. The spring restores, the damper dissipates, mass resists change. Their balance determines whether the system oscillates, decays — or collapses.