In an underdamped vibration system, logarithmic decrement is given by:

1
\( \frac{{2\pi \xi }}{{\sqrt {1 - {\xi ^2}} \;}}\)
2
\( \frac{{2\pi \xi^2 }}{{\sqrt {1 - {\xi ^2}} \;}}\)
3
\( \frac{{2\pi \xi }}{{\sqrt {1 + {\xi ^2}} \;}}\)
4
\( \frac{{2\pi \xi }}{{\sqrt {1 - {\xi }} \;}}\)

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