The article summarizes the research overview and the method of the dynamic diagnose firstly, then two new damage identification methods are proposed based on dynamic characteristic: fourth derivative of displacement mode and slope of flexibility difference.
文章首先系统总结了目前常用的桥梁结构损伤识别方法，在此基础上提出了两个新的基于动力特性变化的损伤识别方法：柔度差斜率方法和位移模态四阶导数方法。
参考来源 - 钢管混凝土拱桥的损伤识别研究·2,447,543篇论文数据，部分数据来源于NoteExpress
Two-rank Tailor multinomial has been introduced to decrease cutting errors in subset displacement mode;
在子区位移模式中采用了二阶泰勒多项式表示位移，降低了截断误差；
Then, a trigonometric series is applied to describe the displacement mode satisfying the boundary conditions.
然后利用双三角级数构造满足层板分层区位移边界条件的位移模态。
A new warping displacement mode of wide flange is chosen to meet the axial self-equilibrium condition for corresponding stress.
为使剪滞翘曲应力满足轴向自平衡条件，选取了新的翼缘板纵向翘曲位移模式。
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