Damping Ratio Calculator
Compute damping ratio ζ = c/(2√(mk)) of a 1-DOF system.
Input Data
Input Damping c.
N·s/m
Input Mass m.
kg
Input Stiffness k.
N/m
Results
1
ζ = c/(2√(mk)) = 1.000000
At a glance:Damping Ratio Calculator: enter parameters to compute results; complements related calculators.
Formula
ζ = c / (2 √(m k))
ζ<1 underdamped, ζ=1 critical, ζ>1 overdamped
How to Use
- Enter damping c, mass m, stiffness k.
- Get damping ratio ζ.
Case Studies
c=2, m=1, k=1
ζ = 1 (critical damping).
FAQ
Practical meaning?
ζ sets ring-down; many controls target ζ≈0.7.
Related Tools
References
Content review: Calculatorism Science Team. Formula and numeric tests verified; results for reference only.