Abstract
Abstract A fuzzy logic system (FLS) is established for damage identification of simply supported bridge. A novel damage indicator is developed based on ratios of mode shape components between before and after damage. Numerical simulation of a simply-supported bridge is presented to demonstrate the memory, inference and anti-noise ability of the proposed method. The bridge is divided into eight elements and nine nodes, the damage indicator vector at characteristic nodes is used as the input measurement of FLS. Results reveal that FLS can detect damage of training patterns with an accuracy of 100%. Aiming at other test patterns, the FLS also possesses favorable inference ability, the identification accuracy for single damage location is up to 93.75%. Tests with noise simulated data show that the FLS possesses favorable anti-noise ability.
Highlights
There are totally 621.9 thousand highway bridges in China, small and medium span bridges are over 90% according to the annual statistical report of Chinese highway maintenance [1]
The purpose is to guarantee that the fuzzy logic system (FLS) using mode shape ratio as input variable possesses satisfactory robustness and generalization ability
Numerical simulation shows that the proposed method in this paper could identify the damage with an accuracy of 100%
Summary
There are totally 621.9 thousand highway bridges in China, small and medium span bridges are over 90% according to the annual statistical report of Chinese highway maintenance [1]. The commonly used modal parameters for damage identification include natural frequency, mode shape and their derivatives, H.B.Liu, Y.B.Jiao, Y.F.Gong such as modal shape curvature, modal strain energy, modal flexibility etc [8,9,10,11,12]. Mode shapes contain the spatial information with respect to location of damage They vary less sensitively to environmental effects. Modal perturbation analysis indicates that modal shape ratios are less sensitive to the modeling errors than frequency [17] Modal curvature is another most widely used damage indicator [10, 13, 14], which is the second spatial derivative of mode shape. Numerical simulation is conducted to verify the memory, inference and antinoise ability of the proposed method
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