Damping is beneficial only when:

1
\(\frac{\omega }{{{\omega _n}}} = 1\)
2
\(\frac{\omega }{{{\omega _n}}} < 1\)
3
\(\frac{\omega }{{{\omega _n}}} < \sqrt2\)
4
\(\frac{\omega }{{{\omega _n}}} > \sqrt 2\)

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