Response Dynamics > Theory > Modal damping
Equivalent viscous damping ratio
Assuming sinusoidal response, such as
and, substituting into Equation 1, you get:
| Equation 4 |
|---|
The equivalent viscous damping is thus
| Equation 5 |
|---|
and if
Equation 5 can be rewritten as
| Equation 6 |
|---|
We can thus calculate the equivalent viscous damping ratio as
| Equation 7 |
|---|
Look up more details
Modal hysteretic and viscous damping ratios
Rayleigh's damping method
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Equivalent viscous damping ratio , Simcenter 3D 2021.1 Series
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Source: https://docs.sw.siemens.com/en-US/doc/289054037/PL20200601120302950.advanced/id631216 · retrieved 2026-07-17