Damage identification of mono-coupled periodic structures based on driving-point anti-resonance frequency and sensitivity analysis

Anti-resonance frequencies are advantageous for structural damage identification because they are sensitive to local damage and can be easily measured. Sensitivity-based methods for identifying damage rely on the precision of the structural analytical model, which is typically difficult to achieve. Therefore, a damage-identification method that requires only anti-resonance frequencies without any detailed information regarding the model is appealing. This study presents a method for damage identification in periodic structures based on driving-point anti-resonance frequency and sensitivity analysis. The relative sensitivity of the anti-resonance frequency to individual elemental parameters is derived. This sensitivity is related only to the total number of periodic elements, element location, and driving-point location, and is not affected by the specific geometric or physical parameters of the structure. The proposed method was applied to a periodic mass–spring system and a multistory frame for damage identification. Accurate damage identification can be achieved by utilizing driving-point anti-resonance frequencies.