Uncertainty law in ambient modal identification-Part II: Implication and field verification

Siu-Kui Au

doi:10.1016/j.ymssp.2013.07.017

Uncertainty law in ambient modal identification-Part II: Implication and field verification

Siu-Kui Au^*

^*Corresponding author for this work

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

58 Citations (Scopus)

Abstract

This paper presents a qualitative analysis of the uncertainty laws for the modal parameters identified in a Bayesian approach using ambient vibration data, based on the theory developed in the companion paper. The uncertainty laws are also appraised using field test data. The paper intends to provide insights for planning ambient vibration tests and managing the uncertainties of the identified modal parameters. Some typical questions that shall be addressed are: to estimate the damping ratio to within 30% of posterior coefficient of variation (c.o.v), what is the minimum data duration? Will deploying an additional accelerometer significantly improve the accuracy in damping (or frequency)? Answers to these questions based on this work can be found in the Conclusions. As the Bayesian approach allows full use of information in the data for given modeling assumptions, the uncertainty laws obtained in this work represent the lower limit of uncertainty (estimation error) that can be achieved by any method (Bayesian or non-Bayesian).

Original language	English
Pages (from-to)	34-48
Number of pages	15
Journal	Mechanical Systems and Signal Processing
Volume	48
Issue number	1-2
Online published	6 Nov 2013
DOIs	https://doi.org/10.1016/j.ymssp.2013.07.017
Publication status	Published - 3 Oct 2014
Externally published	Yes

Funding

This paper is partly supported by General Research Fund 9041758 (CityU 110012) from the Research Grants Council of the Hong Kong Special Administrative Region, China; and Start-up Grant EGG10034 from the University of Liverpool, UK. The data from the CityU bridge was obtained with the assistance of Dr Feng-Liang Zhang and Dr Yan-Chun Ni while they were PhD students at CityU. The data from the super-tall building was obtained through Collaborative Research Project (URN 05/81d) with Ove Arup and Partners Hong Kong Ltd. (OAP). The author would like to thank Dr. Alex To, Associate at OAP, for providing wind engineering expertise and logistics support of field tests with the super-tall building. He would also like to thank Dr. Kohler for providing the UCLA Factor Building data and generous assistance during the process. Constructive comments by anonymous reviewers are gratefully acknowledged.

Research Keywords

Ambient vibration
Operational modal analysis
Spectral analysis
Uncertainty law
PARAMETRIC IDENTIFICATION
STRUCTURAL SYSTEMS
STRONG WIND
BUILDINGS

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title = "Uncertainty law in ambient modal identification-Part II: Implication and field verification",

abstract = "This paper presents a qualitative analysis of the uncertainty laws for the modal parameters identified in a Bayesian approach using ambient vibration data, based on the theory developed in the companion paper. The uncertainty laws are also appraised using field test data. The paper intends to provide insights for planning ambient vibration tests and managing the uncertainties of the identified modal parameters. Some typical questions that shall be addressed are: to estimate the damping ratio to within 30\% of posterior coefficient of variation (c.o.v), what is the minimum data duration? Will deploying an additional accelerometer significantly improve the accuracy in damping (or frequency)? Answers to these questions based on this work can be found in the Conclusions. As the Bayesian approach allows full use of information in the data for given modeling assumptions, the uncertainty laws obtained in this work represent the lower limit of uncertainty (estimation error) that can be achieved by any method (Bayesian or non-Bayesian). ",

keywords = "Ambient vibration, Operational modal analysis, Spectral analysis, Uncertainty law, PARAMETRIC IDENTIFICATION, STRUCTURAL SYSTEMS, STRONG WIND, BUILDINGS",

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AU - Au, Siu-Kui

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AB - This paper presents a qualitative analysis of the uncertainty laws for the modal parameters identified in a Bayesian approach using ambient vibration data, based on the theory developed in the companion paper. The uncertainty laws are also appraised using field test data. The paper intends to provide insights for planning ambient vibration tests and managing the uncertainties of the identified modal parameters. Some typical questions that shall be addressed are: to estimate the damping ratio to within 30% of posterior coefficient of variation (c.o.v), what is the minimum data duration? Will deploying an additional accelerometer significantly improve the accuracy in damping (or frequency)? Answers to these questions based on this work can be found in the Conclusions. As the Bayesian approach allows full use of information in the data for given modeling assumptions, the uncertainty laws obtained in this work represent the lower limit of uncertainty (estimation error) that can be achieved by any method (Bayesian or non-Bayesian).

KW - Ambient vibration

KW - Operational modal analysis

KW - Spectral analysis

KW - Uncertainty law

KW - PARAMETRIC IDENTIFICATION

KW - STRUCTURAL SYSTEMS

KW - STRONG WIND

KW - BUILDINGS

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JO - Mechanical Systems and Signal Processing

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ER -

Uncertainty law in ambient modal identification-Part II: Implication and field verification

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