Damage Identification of Structures Based on Smooth Orthogonal Decomposition and Improved Beetle Antennae Search Algorithm

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.

A review of the application of the simulated annealing algorithm in structural health monitoring (1995-2021)

“…2. Some studies propose two-step methods [100,102,108,115,122]; what is the necessity of implementing these methodologies?…”

“…As there is a famous proverb, all new ideas are combinations of old ones; it is possible to develop novel algorithms from old ones. In this regard, a new version of BAS has been improved by the fusion procedure of the SA algorithm [122].…”

“…Zhang [122] 2021 This paper presents a two-step damage identification approach using the smooth orthogonal decomposition (SOD) method and an improved version of beetle antennae search algorithm (BAS). The fusion strategy of the SA algorithm was applied to BAS to establish a better optimization ability.…”

A Novel Low-Velocity Impact Region Identification Method for Cantilever Beams Using a Support Vector Machine

“…According to the experimental data of damaged and undamaged beams, Khatir et al [19] formed an objective function with the changes of natural frequencies and proposed a damage detection method based on the particle swarm optimization algorithm, and their method can also quantify damage. Hu and Zhang [20] calculated the stiffness reduction of the damage beam using the improved beetle antennae search algorithm and constructed a damage index that can track the curvature changes of modes.…”

An Improved Beetle Antennae Search Algorithm Based on the Elite Selection Mechanism and the Neighbor Mobility Strategy for Global Optimization Problems

“…The algorithm not only has a strong ability of individual identification and the environment identification, but also does not need to know the function gradient information. In addition, its program code is simple and can quickly obtain the optimal solution under the condition of a stable convergence [20][21][22][23]. At present, it has been successfully applied to a variety of industrial engineering optimization problems, and has a high potential research value [24][25][26][27][28][29].…”