A Two-stage Damage Identification Method for Statically Determinate Beam Based on Curvature

YANG Xiao, QIAN Xue-wei, YANG Wan-feng

Chinese Quarterly of Mechanics ›› 2017, Vol. 38 ›› Issue (4) : 710-721.

Chinese Quarterly of Mechanics ›› 2017, Vol. 38 ›› Issue (4) : 710-721. DOI: 10.15959/j.cnki.0254-0053.2017.04.012

A Two-stage Damage Identification Method for Statically Determinate Beam Based on Curvature

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Abstract

A two-stage damage identification method of statically determinate beam based on static bending is established. First, the formulas for calculating the bending curvature of beam by the measurement deflection and the measurement strain are given, and then a method for determining the damage location based on the relative curvature difference of curvatures of the damaged and undamaged beam is proposed. On this basis, a scheme of quantifing the damage degree of beam using the simulated annealing algorithm is proposed. Thus, identification of the damage location and its degree of the statically determinate beam is achieved. In order to validate the proposed method, damage identification of a simply-supported beam is conducted by a numerical simulation, and the influences of the damage location, damage degree and measurement noise on the damage identification are examined numerically. It is revealed from the numerical results that the determination of damage location in advance reduces the damage parameters in the process of damage degree identification, and the influence of measurement noise on damage location identification based on the measured deflection is more significant than that based on the measured strain. Furthermore, when the measurement noise is less than 5%, the identification results of damage degree have higher accuracy and robustness.

Key words

statically determinate beam / damage identification / relative curvature difference / simulated annealing algorithm / robustness

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YANG Xiao, QIAN Xue-wei, YANG Wan-feng. A Two-stage Damage Identification Method for Statically Determinate Beam Based on Curvature[J]. Chinese Quarterly of Mechanics, 2017, 38(4): 710-721 https://doi.org/10.15959/j.cnki.0254-0053.2017.04.012

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