Abstract
A novel damage identification method that utilizes the smooth orthogonal decomposition (SOD) combined with the improved beetle antennae search algorithm (BAS) presented by previous scholars is proposed. Firstly, the damage index which can track the curvature changing of mode shape identified by the SOD method is generated by an adaptive polynomial fit method. The locations of structure damages are determined according to the damage index. Thus, the number of possible damaged elements needed to be taken into account can be reduced when calculating the degree of damage. Then, the reduction in the stiffness at the damage location of the structure is calculated by the improved BAS in which the fitness function is constructed by calculated frequencies of the damaged structure in each iteration and the modal frequencies obtained by SOD. The BAS algorithm is improved through a fusion strategy of simulated annealing theory. Thus, the improved BAS algorithm is efficient and adaptive. The effect of this combined application in damage identification has been verified by numerical examples of a simply supported beam with single damage and a cantilever beam with double damage. The numerical results show that this combined algorithm exhibits high reliability in damage identification of beam-like structures.
Highlights
In recent years, damage identification based on modal parameter identification combined with intelligent optimization algorithms has attracted extensive attention and have been widely studied [1, 2]
A two-stage damage identification method of structure that utilizes smooth orthogonal decomposition (SOD) combined with improved beetle antennae search algorithm (IBAS) algorithm has been studied
The curvatures of the mode shapes identified by SOD method are calculated by using the second-order central difference method. en, the smoothed modal curvatures are obtained by using the adaptive polynomial fit method to fit modal curvatures
Summary
Damage identification based on modal parameter identification combined with intelligent optimization algorithms has attracted extensive attention and have been widely studied [1, 2]. E identification of damage degree is essentially an optimization problem to determine the stiffness of all structural elements. We proposed a novel damage identification method of beam structure based on SOD and IBAS algorithm. En, the IBAS algorithm and the structural frequencies identified by SOD method are used to calculate the damage degree of the structure. E damage identification method of beam structures based on SOD and IBAS algorithm has been verified using numerical examples of beams under two damage cases in this paper. E reduction in the stiffness of the damaged elements can be calculated accurately according to the structural frequencies identified by SOD method and IBAS algorithm.
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