This paper presents a novelty approach to vibration-based damage detection using matrix updating with the Circle-Inspired Optimization Algorithm (CIOA). The methodology is evaluated through numerical simulations of three structures: a 10-bar truss, a cantilever beam, and a Warren truss. In all cases, the systems are subject to ambient vibrations with varying noise levels to replicate inaccuracies in the acceleration signals. Furthermore, different analysis scenarios were considered, including single and multiple damages. The Data-driven Stochastic Subspace Identification (SSI-DATA) technique is employed to determine the modal parameters of these signals. Natural frequencies and mode shapes are compared under healthy and damaged conditions to identify the damage state through the methodology. The parameters of the optimization algorithm, CIOA, were set to θ = 97º and GlobIt = 0.90. In addition, a factor specific to the algorithm, the radius reduction factor, was reduced from 0.99 to 0.98 to accelerate convergence. The number of search agents and iterations varied according to the complexity of each structure. Considering all analyses for each scenario and noise level, the highest percentage errors in damage detection obtained were 0.163% in a multiple damage scenario with noise of 3% for the 10-bar truss, 1.453% in a multiple damage scenario with 5% noise for the cantilever beam, 3.600% in a multi damage scenario with 5% noise for the Warren truss. Therefore, results demonstrate the proposed approachs promise in identifying, locating, and quantifying single and multiple damages.
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