Abstract
This article proposes a novel damage detection method based on the sensitivity analysis and chaotic moth-flame-invasive weed optimization (CMF-IWO), which is utilized to simultaneously identify the damage of structural elements and bearings. First, the sensitivity coefficients of eigenvalues to the damage factors of structural elements and bearings are deduced, the regularization technology is used to solve the problem of equation undetermined, meanwhile, the modal strain energy-based index is utilized to detect the damage locations, and the regularization objective function is constructed to quantify the damage severity. Then, for the subsequent procedure of damage detection, CMF-IWO is proposed based on moth-flame optimization and invasive weed optimization as well as chaos theory, reverse learning, and evolutional strategy. The optimization effectiveness of the hybrid algorithm is verified by five benchmark functions and a damage identification numerical example of a simply supported beam; the results demonstrate it is of great global search ability and higher convergence efficiency. After that, a numerical example of an 8-span continuous beam and an experimental reinforced concrete plate are both adopted to evaluate the proposed damage identification method. The results of the numerical example indicate that the proposed method can locate and quantify the damage of structural elements and bearings with high accuracy. Furthermore, the outcomes of the experimental example show that despite the existence of some errors and uncertain factors, the method still obtains an acceptable result. Generally speaking, the proposed method is proved that it is of good feasibility.
Highlights
Civil structures suffer from traffic load, environmental temperature variation, fatigue failure, and other uncertain negative influences during the service period
The main significance of this study can be listed as follows: (1) The sensitivity coefficients of eigenvalues to the damage factors of structural elements and bearings are deduced, which is a creative theory that can be used to identify the damage of bearings; (2) a hybrid algorithm, chaotic moth-flame-invasive weed optimization (CMF-IWO), is raised to improve the optimization problem, such as local optimal and slow convergence and it is proved that CMF-IWO has better computational performance than other commonly used algorithms; (3) based on the first few modal characteristics, the proposed method identify structural damage and determine the damage of bearings, which is the first damage identification method that can simultaneously consider the damage of structures and bearings
The optimization ability and computational accuracy of the hybrid algorithm are first evaluated with five mathematical benchmark functions (Table 1) and compared with existing optimization algorithms, such as moth-flame optimization (MFO), IWO, Particle Swarm Optimization (PSO), Cuckoo Search (CS), and Differential Evolution (DE)
Summary
Civil structures suffer from traffic load, environmental temperature variation, fatigue failure, and other uncertain negative influences during the service period. The main significance of this study can be listed as follows: (1) The sensitivity coefficients of eigenvalues to the damage factors of structural elements and bearings are deduced, which is a creative theory that can be used to identify the damage of bearings; (2) a hybrid algorithm, chaotic moth-flame-invasive weed optimization (CMF-IWO), is raised to improve the optimization problem, such as local optimal and slow convergence and it is proved that CMF-IWO has better computational performance than other commonly used algorithms; (3) based on the first few modal characteristics, the proposed method identify structural damage and determine the damage of bearings, which is the first damage identification method that can simultaneously consider the damage of structures and bearings. Considering the practical situation, there are some acceptable errors in the damage quantification
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