Calculate the damping ratio of a mass-spring-damper system.
System Parameters
N·s/m
kg
N/m
Calculation Results
Enter parameters to calculate
About this calculator
Quick Reference
ζ (Zeta)Damping Ratio
cDamping Coefficient
mMass
kSpring Constant
c_c2√(mk)
Overview
The damping ratio is a dimensionless measure describing how oscillations in a system decay after a disturbance. It compares the actual damping to the critical damping required to prevent oscillation.
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Pro Tips
ζ < 1: Underdamped (oscillates with decaying amplitude)
ζ = 1: Critically damped (returns to equilibrium fastest without oscillation)
ζ > 1: Overdamped (returns to equilibrium slowly without oscillation)
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Fun Facts
"Car shock absorbers are designed to be slightly underdamped (around ζ = 0.7) for optimal comfort and control."
"Buildings in earthquake zones use massive dampers to increase their damping ratio and reduce swaying."
