针对悬臂挡墙的损伤识别问题,提出了基于柔度差平均曲率的挡墙损伤识别方法。该方法引入微分几何理论中曲面上一点的平均曲率概念,通过该点上2个主曲率求其平均曲率。首先利用挡墙损伤前、后模态柔度矩阵求取柔度矩阵差,并以其列元素的平均值作为模态柔度差向量;然后利用中心差分法求得模态柔度差平均曲率作为检测挡墙损伤的新指标(FDMC)。通过对悬臂挡墙的数值模拟研究,结果表明:无论对单处损伤还是多处损伤,该指标都能准确地识别挡墙的损伤位置;根据损伤程度和指标FDMC的相互关系进一步确定单元的损伤程度,且具有较高的识别精度。通过与已有的高斯曲率模态差指标进行比较,验证了该指标的有效性和优越性。 Aiming at the damage identification of the cantilever retaining wall, a method of retaining wall damage identification based on the mean curvature of the flexibility difference is proposed. The method introduces the concept of average curvature of a point on a surface in differential geometry theory, and calculates the average curvature by using two principal curvatures at that point. Firstly, the difference of flexibility matrix is ​​calculated by using the modal flexibility matrix before and after the damage of the retaining wall, and the average of the column elements is taken as the modal flexibility difference vector. Then, the average curvature of the modal flexibility difference As a new indicator of wall damage detection (FDMC). Through the numerical simulation of cantilever retaining wall, the results show that this index can accurately identify the damage location of the retaining wall, whether it is single or multiple damage, and further determine the damage of the unit according to the degree of damage and the relationship between FDMC Degree, and has a high recognition accuracy. Compared with the existing Gaussian curvature modal difference indicator, the validity and superiority of the indicator are verified.