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?
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 %.
