A Probabilistic Damage Identification Approach for Structures under Unknown Excitation and with Measurement Uncertainties

Recently, an innovative algorithm has been proposed by the authors for the identification of structural damage under unknown external excitations. However, identification accuracy of this proposed deterministic algorithm decreases under high level of measurement noise. A probabilistic approach is th...

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Main Authors:	Ying Lei, Ying Su, Wenai Shen
Format:	Article
Language:	English
Published:	Hindawi Limited 2013-01-01
Series:	Journal of Applied Mathematics
Online Access:	http://dx.doi.org/10.1155/2013/759102

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spelling	doaj-c3c77a42cc9546a58aa7fc11942cbc742020-11-24T21:03:06ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/759102759102A Probabilistic Damage Identification Approach for Structures under Unknown Excitation and with Measurement UncertaintiesYing Lei0Ying Su1Wenai Shen2Department of Civil Engineering, Xiamen University, Xiamen 361005, ChinaDepartment of Civil Engineering, Xiamen University, Xiamen 361005, ChinaDepartment of Civil and Environmental Engineering, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong KongRecently, an innovative algorithm has been proposed by the authors for the identification of structural damage under unknown external excitations. However, identification accuracy of this proposed deterministic algorithm decreases under high level of measurement noise. A probabilistic approach is therefore proposed in this paper for damage identification considering measurement noise uncertainties. Based on the former deterministic algorithm, the statistical values of the identified structural parameters are estimated using the statistical theory and a damage index is defined. The probability of identified structural damage is further derived based on the reliability theory. The unknown external excitations to the structure are also identified by statistical evaluation. A numerical example of the identification of structural damage of a multistory shear-type building and its unknown excitation shows that the proposed probabilistic approach can accurately identify structural damage and the unknown excitations using only partial measurements of structural acceleration responses contaminated by intensive measurement noises.http://dx.doi.org/10.1155/2013/759102
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Ying Lei Ying Su Wenai Shen
spellingShingle	Ying Lei Ying Su Wenai Shen A Probabilistic Damage Identification Approach for Structures under Unknown Excitation and with Measurement Uncertainties Journal of Applied Mathematics
author_facet	Ying Lei Ying Su Wenai Shen
author_sort	Ying Lei
title	A Probabilistic Damage Identification Approach for Structures under Unknown Excitation and with Measurement Uncertainties
title_short	A Probabilistic Damage Identification Approach for Structures under Unknown Excitation and with Measurement Uncertainties
title_full	A Probabilistic Damage Identification Approach for Structures under Unknown Excitation and with Measurement Uncertainties
title_fullStr	A Probabilistic Damage Identification Approach for Structures under Unknown Excitation and with Measurement Uncertainties
title_full_unstemmed	A Probabilistic Damage Identification Approach for Structures under Unknown Excitation and with Measurement Uncertainties
title_sort	probabilistic damage identification approach for structures under unknown excitation and with measurement uncertainties
publisher	Hindawi Limited
series	Journal of Applied Mathematics
issn	1110-757X 1687-0042
publishDate	2013-01-01
description	Recently, an innovative algorithm has been proposed by the authors for the identification of structural damage under unknown external excitations. However, identification accuracy of this proposed deterministic algorithm decreases under high level of measurement noise. A probabilistic approach is therefore proposed in this paper for damage identification considering measurement noise uncertainties. Based on the former deterministic algorithm, the statistical values of the identified structural parameters are estimated using the statistical theory and a damage index is defined. The probability of identified structural damage is further derived based on the reliability theory. The unknown external excitations to the structure are also identified by statistical evaluation. A numerical example of the identification of structural damage of a multistory shear-type building and its unknown excitation shows that the proposed probabilistic approach can accurately identify structural damage and the unknown excitations using only partial measurements of structural acceleration responses contaminated by intensive measurement noises.
url	http://dx.doi.org/10.1155/2013/759102
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A Probabilistic Damage Identification Approach for Structures under Unknown Excitation and with Measurement Uncertainties

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