Abstract Vibration-based techniques for structural health monitoring have garnered increasing attention in recent years, particularly in the context of numerous existing concrete frame structures. However, the detection of minor damages remains a challenging endeavor. Diverging from conventional methods reliant on time, frequency, or time-frequency domains for identification, this study proposes and evaluates an output-only phase space–based algorithms for structural damage detection, which involves reconstructing the dynamic system in phase space. Key to this approach is the introduction of the attractor distance, which is derived from attractor geometry, as a defining feature. Although impact force or ambient vibration typically serve as external excitations, this study employs chaotic excitation to induce vibrations in structures. Numerical and experimental investigations are conducted to assess the efficacy of the proposed phase space reconstruction method in detecting damage. A frame structure modeled as a lumped mass model is simulated and analyzed, exploring various degrees of damage and their effects on identification results. Furthermore, the influence of delay time and Gaussian distributed noise on damage-detection results is scrutinized. Validation experiments on a four-story frame structure subjected to chaotic excitation confirm the utility of the reconstructed attractor for damage detection, particularly in scenarios involving minor damage, with an approximately 5 % reduction in stiffness. The findings suggest that combining trajectory analysis with attractor distance facilitates efficient diagnosis of minor damage. The proposed methodology holds promise for damage identification in more intricate and large-scale concrete frame structures.
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