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Smart Structures and Systems Volume 23, Number 1, January 2019 , pages 45-60 DOI: https://doi.org/10.12989/sss.2019.23.1.045 |
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An iterative method for damage identification of skeletal structures utilizing biconjugate gradient method and reduction of search space |
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Ebrahim Sotoudehnia, Farzad Shahabian and Ahmad Aftabi Sani
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| Abstract | ||
| This paper is devoted to proposing a new approach for damage detection of structures. In this technique, the biconjugate gradient method (BCG) is employed. To remedy the noise effects, a new preconditioning algorithm is applied. The proposed preconditioner matrix significantly reduces the condition number of the system. Moreover, based on the characteristics of the damage vector, a new direct search algorithm is employed to increase the efficiency of the suggested damage detection scheme by reducing the number of unknowns. To corroborate the high efficiency and capability of the presented strategy, it is applied for estimating the severity and location of damage in the well-known 31-member and 52-member trusses. For damage detection of these trusses, the time history responses are measured by a limited number of sensors. The results of numerical examples reveal high accuracy and robustness of the proposed method. | ||
| Key Words | ||
| damage detection; model updating; biconjugate gradient; preconditioning; approximated pseudo inverse; condition number | ||
| Address | ||
| Ebrahim Sotoudehnia, Farzad Shahabian and Ahmad Aftabi Sani: Civil Engineering Department, Faculty of Engineering, Ferdowsi University of Mashhad, PO Box: 91775-1111, Mashhad, Iran | ||