Minimizing error in the logarithmic decrement method through uncertainty propagation
Publication
, Journal Article
Tweten, DJ; Ballard, Z; Mann, BP
Published in: Journal of Sound and Vibration
January 1, 2014
Logarithmic decrement is a well known approach for estimating the damping ratio from a time history. This paper uses uncertainty propagation 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.
Duke Scholars
Published In
Journal of Sound and Vibration
DOI
EISSN
1095-8568
ISSN
0022-460X
Publication Date
January 1, 2014
Volume
333
Start / End Page
2804 / 2811
Related Subject Headings
- Acoustics
- 51 Physical sciences
- 40 Engineering
- 09 Engineering
- 02 Physical Sciences
Citation
APA
Chicago
ICMJE
MLA
NLM
Tweten, D. J., Ballard, Z., & Mann, B. P. (2014). Minimizing error in the logarithmic decrement method through uncertainty propagation. Journal of Sound and Vibration, 333, 2804–2811. https://doi.org/10.1016/j.jsv.2014.02.024
Tweten, D. J., Z. Ballard, and B. P. Mann. “Minimizing error in the logarithmic decrement method through uncertainty propagation.” Journal of Sound and Vibration 333 (January 1, 2014): 2804–11. https://doi.org/10.1016/j.jsv.2014.02.024.
Tweten DJ, Ballard Z, Mann BP. Minimizing error in the logarithmic decrement method through uncertainty propagation. Journal of Sound and Vibration. 2014 Jan 1;333:2804–11.
Tweten, D. J., et al. “Minimizing error in the logarithmic decrement method through uncertainty propagation.” Journal of Sound and Vibration, vol. 333, Jan. 2014, pp. 2804–11. Scopus, doi:10.1016/j.jsv.2014.02.024.
Tweten DJ, Ballard Z, Mann BP. Minimizing error in the logarithmic decrement method through uncertainty propagation. Journal of Sound and Vibration. 2014 Jan 1;333:2804–2811.
Published In
Journal of Sound and Vibration
DOI
EISSN
1095-8568
ISSN
0022-460X
Publication Date
January 1, 2014
Volume
333
Start / End Page
2804 / 2811
Related Subject Headings
- Acoustics
- 51 Physical sciences
- 40 Engineering
- 09 Engineering
- 02 Physical Sciences