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.

中文翻译：

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灵敏度分析和混沌飞蛾入侵杂草优化的钢筋混凝土板损伤损伤检测

本文提出了一种基于敏感性分析和混沌飞蛾入侵杂草优化（CMF-IWO）的新型损伤检测方法，该方法可同时识别结构元件和轴承的损伤。首先，推导特征值对结构元件和轴承损伤因子的敏感系数，采用正则化技术解决方程不确定的问题，同时，利用基于模态应变能的指标来检测损伤位置，并构造正则化目标函数来量化损伤的严重程度。然后，针对随后的损伤检测程序，基于蛾-火焰优化和侵入性杂草优化以及混沌理论，逆向学习和进化策略，提出了CMF-IWO。通过五个基准函数和简单支撑梁的损伤识别数值示例验证了混合算法的优化效果。结果表明，该算法具有较强的全局搜索能力和较高的收敛效率。之后，以一个8跨连续梁的数值例子和一个实验钢筋混凝土板作为实例来评估所提出的损伤识别方法。数值算例结果表明，该方法可以准确定位和量化结构件和轴承的损伤。此外，实验示例的结果表明，尽管存在一些错误和不确定因素，该方法仍获得可接受的结果。一般而言，该方法被证明是可行的。