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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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/759102 |
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| _version_ | 1832550724632838144 |
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| author | Ying Lei Ying Su Wenai Shen |
| author_facet | Ying Lei Ying Su Wenai Shen |
| author_sort | Ying Lei |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-c3c77a42cc9546a58aa7fc11942cbc74 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-c3c77a42cc9546a58aa7fc11942cbc742025-02-03T06:05:58ZengWileyJournal 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2013/759102 |
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