The logarithmic decrement measured for a viscously damped single degree of freedom system is 0.125. What is the value of the damping factor in percent?

The logarithmic decrement measured for a viscously damped single degree of freedom system is 0.125. What is the value of the damping factor in percent?

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    The relation between damping factor \xi and the logarithmic decrement \delta  are related by

    \xi =\frac{1}{\sqrt{1+\left ( \frac{2\pi}{\delta } \right )^{2}}} \\=\frac{1}{50.275} \\=0.0198 \\\approx 2\%

    Therefore value of damping factor is approximately 2 %.

    Kumar59 Answered on 2nd October 2019.
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