Minimizing error in the logarithmic decrement method through uncertainty propagation

作者：Tweten Dennis J^*; Ballard Zach; Mann Brian P

来源：Journal of Sound and Vibration, 2014, 333(13): 2804-2811.

DOI：10.1016/j.jsv.2014.02.024

Logarithmic decrement is a well known approach for estimating the damping ratio from a time history. This paper uses uncertainty proliagation to unveil how uncertainties in different quantities can impact damping ratio estimates. More specifically, the trade-off between the number of periods N between the first and final peaks and measurement noise is addressed. The insights gained from this analysis are condensed into a single graphic or guide which provides the ideal number of periods N to use for a common range of measurement uncertainties and damping ratios. The guide is then applied to experimental data derived from image processing to estimate the damping ratio.

• 出版日期2014-6-23