Uncertainty of Modal Parameters Estimated by ARMA Models

Jacob Laigaard Jensen, Rune Brincker, Anders Rytter

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Resumé

In this paper the uncertainties of identified modal parameters such as eidenfrequencies and damping ratios are assed. From the measured response of dynamic excited structures the modal parameters may be identified and provide important structural knowledge. However the uncertainty of the parameters decides the value of the experimental obtained information. The paper deals with the sources of uncertainty. the different sources of uncertainty have been categorized into physical errors. statistical errors and model errors. The nature of the uncertainty due to those errors has been studied by simulation study of a lightly damped single degree of freedom system. Identification by ARMA models has been choosen as system identification method. It is concluded that both the sampling interval and number of sampled points may play a significant role with respect to the statistical errors. Furthermore, it is shown that the model errors may also contribute significantly to the uncertainty.
OriginalsprogEngelsk
TitelProceedings of the 9th International Conference on Experimental Mechanics : 20-24 August 1990, Copenhagen Denmark
Antal sider10
ForlagTechnical University of Denmark (DTU)
Publikationsdato1990
Sider2095-2104
ISBN (Trykt)8777400356
StatusUdgivet - 1990
BegivenhedThe International Conference on Experimental Mechanics - Copenhagen, Danmark
Varighed: 20 aug. 199024 aug. 1990
Konferencens nummer: 9

Konference

KonferenceThe International Conference on Experimental Mechanics
Nummer9
LandDanmark
ByCopenhagen
Periode20/08/199024/08/1990

Fingerprint

identification method
damping
sampling
simulation
parameter
freedom

Emneord

  • Freedom system
  • ARMA Models
  • Eigenfrequencies
  • Dynamic Exited Structures

Citer dette

Jensen, J. L., Brincker, R., & Rytter, A. (1990). Uncertainty of Modal Parameters Estimated by ARMA Models. I Proceedings of the 9th International Conference on Experimental Mechanics: 20-24 August 1990, Copenhagen Denmark (s. 2095-2104). Technical University of Denmark (DTU).
Jensen, Jacob Laigaard ; Brincker, Rune ; Rytter, Anders. / Uncertainty of Modal Parameters Estimated by ARMA Models. Proceedings of the 9th International Conference on Experimental Mechanics: 20-24 August 1990, Copenhagen Denmark. Technical University of Denmark (DTU), 1990. s. 2095-2104
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abstract = "In this paper the uncertainties of identified modal parameters such as eidenfrequencies and damping ratios are assed. From the measured response of dynamic excited structures the modal parameters may be identified and provide important structural knowledge. However the uncertainty of the parameters decides the value of the experimental obtained information. The paper deals with the sources of uncertainty. the different sources of uncertainty have been categorized into physical errors. statistical errors and model errors. The nature of the uncertainty due to those errors has been studied by simulation study of a lightly damped single degree of freedom system. Identification by ARMA models has been choosen as system identification method. It is concluded that both the sampling interval and number of sampled points may play a significant role with respect to the statistical errors. Furthermore, it is shown that the model errors may also contribute significantly to the uncertainty.",
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Jensen, JL, Brincker, R & Rytter, A 1990, Uncertainty of Modal Parameters Estimated by ARMA Models. i Proceedings of the 9th International Conference on Experimental Mechanics: 20-24 August 1990, Copenhagen Denmark. Technical University of Denmark (DTU), s. 2095-2104, The International Conference on Experimental Mechanics, Copenhagen, Danmark, 20/08/1990.

Uncertainty of Modal Parameters Estimated by ARMA Models. / Jensen, Jacob Laigaard; Brincker, Rune; Rytter, Anders.

Proceedings of the 9th International Conference on Experimental Mechanics: 20-24 August 1990, Copenhagen Denmark. Technical University of Denmark (DTU), 1990. s. 2095-2104.

Publikation: Bidrag til bog/antologi/rapport/konference proceedingKonferenceartikel i proceedingForskningpeer review

TY - GEN

T1 - Uncertainty of Modal Parameters Estimated by ARMA Models

AU - Jensen, Jacob Laigaard

AU - Brincker, Rune

AU - Rytter, Anders

PY - 1990

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N2 - In this paper the uncertainties of identified modal parameters such as eidenfrequencies and damping ratios are assed. From the measured response of dynamic excited structures the modal parameters may be identified and provide important structural knowledge. However the uncertainty of the parameters decides the value of the experimental obtained information. The paper deals with the sources of uncertainty. the different sources of uncertainty have been categorized into physical errors. statistical errors and model errors. The nature of the uncertainty due to those errors has been studied by simulation study of a lightly damped single degree of freedom system. Identification by ARMA models has been choosen as system identification method. It is concluded that both the sampling interval and number of sampled points may play a significant role with respect to the statistical errors. Furthermore, it is shown that the model errors may also contribute significantly to the uncertainty.

AB - In this paper the uncertainties of identified modal parameters such as eidenfrequencies and damping ratios are assed. From the measured response of dynamic excited structures the modal parameters may be identified and provide important structural knowledge. However the uncertainty of the parameters decides the value of the experimental obtained information. The paper deals with the sources of uncertainty. the different sources of uncertainty have been categorized into physical errors. statistical errors and model errors. The nature of the uncertainty due to those errors has been studied by simulation study of a lightly damped single degree of freedom system. Identification by ARMA models has been choosen as system identification method. It is concluded that both the sampling interval and number of sampled points may play a significant role with respect to the statistical errors. Furthermore, it is shown that the model errors may also contribute significantly to the uncertainty.

KW - Freedom system

KW - ARMA Models

KW - Eigenfrequencies

KW - Dynamic Exited Structures

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KW - Eigenfrequencies

KW - Dynamic Exited Structures

KW - Freedom System

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BT - Proceedings of the 9th International Conference on Experimental Mechanics

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Jensen JL, Brincker R, Rytter A. Uncertainty of Modal Parameters Estimated by ARMA Models. I Proceedings of the 9th International Conference on Experimental Mechanics: 20-24 August 1990, Copenhagen Denmark. Technical University of Denmark (DTU). 1990. s. 2095-2104