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On the use of weighting matrices to improve harmonic balance parameter identification results

Publication ,  Journal Article
Tweten, DJ; Mann, BP
Published in: Journal of Sound and Vibration
June 10, 2013

This paper investigates the use of weighting matrices to improve the harmonic balance identification (HBID) method for identifying nonlinear oscillators. While the notation for adding weighting matrices has been previously introduced, typical strategies for developing weighting matrices cannot be applied to the HBID method since the variance structure of each observation is identical. A new approach is presented based on the signal to noise ratio of each harmonic. This new weighting strategy is shown to improve the accuracy of the estimated parameters from data with Gaussian, uniform, and Laplacian noise distributions. In addition, the paper explores the relationship between the accuracy of the estimated parameters and the range of phase space transversed by a steady-state response. It is shown that small oscillations in a double well oscillator can be used to accurately estimate the system parameters. © 2013 Elsevier Ltd.

Duke Scholars

Published In

Journal of Sound and Vibration

DOI

EISSN

1095-8568

ISSN

0022-460X

Publication Date

June 10, 2013

Volume

332

Issue

12

Start / End Page

2941 / 2953

Related Subject Headings

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

Citation

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ICMJE
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Tweten, D. J., & Mann, B. P. (2013). On the use of weighting matrices to improve harmonic balance parameter identification results. Journal of Sound and Vibration, 332(12), 2941–2953. https://doi.org/10.1016/j.jsv.2013.01.010
Tweten, D. J., and B. P. Mann. “On the use of weighting matrices to improve harmonic balance parameter identification results.” Journal of Sound and Vibration 332, no. 12 (June 10, 2013): 2941–53. https://doi.org/10.1016/j.jsv.2013.01.010.
Tweten DJ, Mann BP. On the use of weighting matrices to improve harmonic balance parameter identification results. Journal of Sound and Vibration. 2013 Jun 10;332(12):2941–53.
Tweten, D. J., and B. P. Mann. “On the use of weighting matrices to improve harmonic balance parameter identification results.” Journal of Sound and Vibration, vol. 332, no. 12, June 2013, pp. 2941–53. Scopus, doi:10.1016/j.jsv.2013.01.010.
Tweten DJ, Mann BP. On the use of weighting matrices to improve harmonic balance parameter identification results. Journal of Sound and Vibration. 2013 Jun 10;332(12):2941–2953.
Journal cover image

Published In

Journal of Sound and Vibration

DOI

EISSN

1095-8568

ISSN

0022-460X

Publication Date

June 10, 2013

Volume

332

Issue

12

Start / End Page

2941 / 2953

Related Subject Headings

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