Skip to main content
Journal cover image

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.
Journal cover image

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