This study proposed a damage identification method compared with the existing ones, based on relative curvature difference and frequency perturbation theory, showing sensitivity to local damage by changes in the curvature mode and high recognition accuracy of frequencies. Considering the relative curvature difference as a damage index, numerical simulation is used for a simply supported beam under single and multiple damage conditions for different damage degrees. The damage is located according to the curvature mode curves, and the damage degree is qualitatively determined. Based on the perturbation theory, the damage equations are established by the changes between frequencies before and after damage, and the damage localization and degree are verified and determined. Effectiveness of the proposed method for identifying damage at different conditions is numerically investigated. This method potentially promotes the development of damage identification of beam structures.

中文翻译：

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基于相对曲率差和频率扰动的定位和损伤程度

该研究基于相对曲率差和频率扰动理论，提出了一种与现有损伤识别方法相比的损伤识别方法，该方法表明了曲率模态变化对局部损伤的敏感性和较高的频率识别精度。将相对曲率差作为损伤指标，在单个和多个损伤条件下针对不同损伤程度的简支梁进行了数值模拟。根据曲率模式曲线确定损伤的位置，并定性确定损伤的程度。基于扰动理论，通过损伤前后频率的变化建立损伤方程，验证并确定损伤的位置和程度。数值研究了所提出的方法在不同条件下识别损坏的有效性。这种方法潜在地促进了梁结构损伤识别的发展。