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Optimizing logarithmic decrement damping estimation through uncertainty propagation

Publication ,  Journal Article
Little, JA; Mann, BP
Published in: Journal of Sound and Vibration
September 29, 2019

This work derives an analytical expression for the optimal number of periods between samples when estimating damping using the logarithmic decrement method. This expression, obtained from an uncertainty analysis of the method's principal equation, is shown to be a function of only one system parameter: the damping ratio. This suggests that for linear systems with viscous damping there is a unique, damping-dependent period choice corresponding to minimum uncertainty in the estimated damping ratio. This result led to the discovery of a constant optimal amplitude ratio offering a straightforward guideline that can be applied by the experimenter to obtain damping ratio estimates with minimum uncertainty. The derived expressions are applied to a series of numerical and experimental systems to confirm their validity.

Duke Scholars

Published In

Journal of Sound and Vibration

DOI

EISSN

1095-8568

ISSN

0022-460X

Publication Date

September 29, 2019

Volume

457

Start / End Page

368 / 376

Related Subject Headings

  • Acoustics
  • 51 Physical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
 

Citation

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Chicago
ICMJE
MLA
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Little, J. A., & Mann, B. P. (2019). Optimizing logarithmic decrement damping estimation through uncertainty propagation. Journal of Sound and Vibration, 457, 368–376. https://doi.org/10.1016/j.jsv.2019.05.040
Little, J. A., and B. P. Mann. “Optimizing logarithmic decrement damping estimation through uncertainty propagation.” Journal of Sound and Vibration 457 (September 29, 2019): 368–76. https://doi.org/10.1016/j.jsv.2019.05.040.
Little JA, Mann BP. Optimizing logarithmic decrement damping estimation through uncertainty propagation. Journal of Sound and Vibration. 2019 Sep 29;457:368–76.
Little, J. A., and B. P. Mann. “Optimizing logarithmic decrement damping estimation through uncertainty propagation.” Journal of Sound and Vibration, vol. 457, Sept. 2019, pp. 368–76. Scopus, doi:10.1016/j.jsv.2019.05.040.
Little JA, Mann BP. Optimizing logarithmic decrement damping estimation through uncertainty propagation. Journal of Sound and Vibration. 2019 Sep 29;457:368–376.
Journal cover image

Published In

Journal of Sound and Vibration

DOI

EISSN

1095-8568

ISSN

0022-460X

Publication Date

September 29, 2019

Volume

457

Start / End Page

368 / 376

Related Subject Headings

  • Acoustics
  • 51 Physical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences