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A Universal Model-Independent Algorithm for Structural Damage Localization

Q.W. Yang1,2, S.G. Du1, C.F. Liang1, L.J. Yang1
Department of Civil Engineering, Shaoxing University, Shaoxing, 312000, P.R. China.
The corresponding author. Email: yangqiuwei79@gmail.com; Tel: +86-575-88326229; Fax: +86-575-88341503

Computer Modeling in Engineering & Sciences 2014, 100(3), 223-248. https://doi.org/10.3970/cmes.2014.100.223

Abstract

Although the model-independent damage localization algorithms have been extensively developed in recent years, the theoretical relationship between these damage indicators and the definition of damage is not clear. Moreover the existing damage localization methods are usually dependent on the boundary conditions and the type of structure. In view of this, the paper presents a universal model-independent algorithm for structural damage localization. To this end, the explicit relationship between the damage and damage-induced displacement variation is firstly clarified by using the well-known Sherman-Morrison and Woodbury formulas. A theorem is then presented for structural damage localization. According to the theorem, the universal model-independent damage localization algorithm has been concluded and verified in some common structures. Presented in this article also can be seen as a theoretical proof of the existing non model methods for structural damage localization. It has been shown that the presented algorithm may be useful in the long term health monitoring and the damage localization.

Keywords

damage localization, structural displacement variation, Sherman-Mo rrison-Woodbury formulas, stiffness matrix, spectral decomposition.

Cite This Article

Yang, Q., Du, S., Liang, C., Yang, L. (2014). A Universal Model-Independent Algorithm for Structural Damage Localization. CMES-Computer Modeling in Engineering & Sciences, 100(3), 223–248.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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