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Evaluation of damping estimates in the presence of closely spaced modes using Operational Modal Analysis techniques

Bajrić, Anela ; Brincker, Rune and Thöns, Sebastian LU (2015) 6th International Operational Modal Analysis Conference, IOMAC 2015 In 6th International Operational Modal Analysis Conference, IOMAC 2015
Abstract

The Operational Modal Analysis (OMA) techniques provide in most cases reasonably accurate estimates of structural frequencies and mode shapes. They are however known to produce erroneous structural damping estimates, which are presumably thought to be due to inherent random- or bias errors that have varying significance for different techniques. This paper evaluates the sensitivity of damping estimates of closely spaced modes for two existing OMA techniques derived in the time and frequency domain; namely Eigensystem Realization Algorithm (ERA) and Frequency Domain Decomposition (FDD). The evaluation is based on identification using random response from white noise loading of a three degreeof-freedom (3DOF) system numerically... (More)

The Operational Modal Analysis (OMA) techniques provide in most cases reasonably accurate estimates of structural frequencies and mode shapes. They are however known to produce erroneous structural damping estimates, which are presumably thought to be due to inherent random- or bias errors that have varying significance for different techniques. This paper evaluates the sensitivity of damping estimates of closely spaced modes for two existing OMA techniques derived in the time and frequency domain; namely Eigensystem Realization Algorithm (ERA) and Frequency Domain Decomposition (FDD). The evaluation is based on identification using random response from white noise loading of a three degreeof-freedom (3DOF) system numerically established from specified modal parameters for a range of natural frequencies. The numerical model provides comparisons of the effectiveness of damping estimation for a variety of damping levels, signal noise and the sensitivity to closely spaced modes. It is shown that FDD has a tendency to overestimate damping due to leakage in the estimated spectral density function and it is a more sensitive technique to system changes than the ERA. The accuracy of damping estimates converges with increased frequency of the system, which is mainly a result of the problematic regions in the correlation function estimation. These regions cause amplification of the damping estimation errors at higher levels of damping. This emphasizes the importance of correctly estimating the correlation function and spectral density as bias will potentially result in large errors in the estimation of highly damped systems. It is concluded that damping estimated are sensitive to closely spaced modes. In addition, it is found that two closely spaced modes will also disturb the estimation of damping of the remaining modes in the system.

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Please use this url to cite or link to this publication:
author
; and
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
Closely spaced modes, Eigensystem Realization Algorithm, Frequency Domain Decomposition, Operational Modal Analysis, Structural damping
host publication
6th International Operational Modal Analysis Conference, IOMAC 2015
series title
6th International Operational Modal Analysis Conference, IOMAC 2015
publisher
International Operational Modal Analysis Conference (IOMAC)
conference name
6th International Operational Modal Analysis Conference, IOMAC 2015
conference location
Gijon, Spain
conference dates
2015-05-12 - 2015-05-14
external identifiers
  • scopus:84934777318
ISBN
9788461738809
language
English
LU publication?
no
id
cd7caa5b-7de9-4976-9dd8-8d9580c9994e
date added to LUP
2020-09-09 10:09:42
date last changed
2022-04-11 04:19:18
@inproceedings{cd7caa5b-7de9-4976-9dd8-8d9580c9994e,
  abstract     = {{<p>The Operational Modal Analysis (OMA) techniques provide in most cases reasonably accurate estimates of structural frequencies and mode shapes. They are however known to produce erroneous structural damping estimates, which are presumably thought to be due to inherent random- or bias errors that have varying significance for different techniques. This paper evaluates the sensitivity of damping estimates of closely spaced modes for two existing OMA techniques derived in the time and frequency domain; namely Eigensystem Realization Algorithm (ERA) and Frequency Domain Decomposition (FDD). The evaluation is based on identification using random response from white noise loading of a three degreeof-freedom (3DOF) system numerically established from specified modal parameters for a range of natural frequencies. The numerical model provides comparisons of the effectiveness of damping estimation for a variety of damping levels, signal noise and the sensitivity to closely spaced modes. It is shown that FDD has a tendency to overestimate damping due to leakage in the estimated spectral density function and it is a more sensitive technique to system changes than the ERA. The accuracy of damping estimates converges with increased frequency of the system, which is mainly a result of the problematic regions in the correlation function estimation. These regions cause amplification of the damping estimation errors at higher levels of damping. This emphasizes the importance of correctly estimating the correlation function and spectral density as bias will potentially result in large errors in the estimation of highly damped systems. It is concluded that damping estimated are sensitive to closely spaced modes. In addition, it is found that two closely spaced modes will also disturb the estimation of damping of the remaining modes in the system.</p>}},
  author       = {{Bajrić, Anela and Brincker, Rune and Thöns, Sebastian}},
  booktitle    = {{6th International Operational Modal Analysis Conference, IOMAC 2015}},
  isbn         = {{9788461738809}},
  keywords     = {{Closely spaced modes; Eigensystem Realization Algorithm; Frequency Domain Decomposition; Operational Modal Analysis; Structural damping}},
  language     = {{eng}},
  month        = {{01}},
  publisher    = {{International Operational Modal Analysis Conference (IOMAC)}},
  series       = {{6th International Operational Modal Analysis Conference, IOMAC 2015}},
  title        = {{Evaluation of damping estimates in the presence of closely spaced modes using Operational Modal Analysis techniques}},
  year         = {{2015}},
}