基于广义柔度曲率矩阵对角指标梁桥结构损伤识别研究  

Structural damage identification of beam bridges based on diagonal index of generalized flexibility curvature matrix

作　　者：李杰[1] 庞栋元 张军锋[1] 杜国鹏 LI Jie;PANG Dongyuan;ZHANG Junfeng;DU Guopeng(School of Civil Engineering,Zhengzhou University,Zhengzhou 450001,China)

机构地区：[1]郑州大学土木工程学院,河南郑州450001

出　　处：《铁道科学与工程学报》2022年第3期722-732,共11页Journal of Railway Science and Engineering

基　　金：河南省科技攻关计划项目(192102310227)。

摘　　要：为了构造梁桥结构损伤识别指标,基于广义柔度曲率矩阵,对广义柔度矩阵元素按行列两次差分得到广义柔度矩阵曲率,分别取损伤前后广义柔度矩阵曲率的对角线元素构建广义柔度曲率矩阵对角指标;再对广义柔度曲率矩阵列元素分别求1-范数和2-范数,分别将损伤前后矩阵列范数向量相减得到另外2个损伤识别指标,从而构造出3个新的损伤指标。采用简支梁算例对比验证这3个指标,进一步通过2种不同截面简支梁的损伤对比,分析新构造的广义柔度曲率矩阵对角指标的敏感性和适用性。最后,参考某连续刚构桥检测资料及其修正后的基准模型,应用新构造的广义柔度曲率矩阵对角指标,进行梁桥结构损伤识别数值模拟和验证分析。研究结果表明:3个新指标均能够识别出单损伤和多损伤工况的损伤位置和损伤程度。综合比较,广义柔度曲率矩阵对角指标效果最好;对于变截面梁桥损伤识别,广义柔度曲率矩阵对角指标有很好且稳定的识别效果;且广义柔度曲率矩阵对角指标能识别测点间部分损伤。归一方法对广义柔度曲率矩阵对角指标的损伤程度识别有轻微影响。结合广义柔度曲率矩阵对角指标和损伤程度计算,可以准确识别三跨连续刚构桥主梁损伤位置和损伤程度。To construct the damage identification index of beam bridge structure, based on the generalized flexibility curvature matrix, for the elements of the generalized flexibility matrix, the curvature of the generalized flexibility matrix was obtained by row column twice difference. The diagonal elements of the curvature of the generalized flexibility matrix before and after damage were taken to construct the diagonal index of the generalized flexibility curvature matrix. Then the 1-norm and 2-norm of the column elements of the generalized flexibility curvature matrix were obtained respectively. The column norm vectors of the matrix before and after damage were subtracted to obtain another two damage identification indexes, so as to construct three new damage indexes. The three new indexes were compared and verified by a simple supported beam example. Further, the sensitivity and applicability of the diagonal index of the newly constructed generalized flexibility curvature matrix were analyzed by comparing the damage of two simple supported beams with different sections. Finally,referring to the inspection data of a continuous rigid frame bridge and its modified benchmark model, the newly constructed diagonal index of generalized flexibility curvature matrix was used to carry out numerical simulation and verification analysis of beam bridge structural damage identification. The results show that the three new indexes can identify the location and degree of damage under single damage and multiple damage conditions.Comprehensive comparison shows that the diagonal index of generalized flexibility curvature matrix is the best.For the damage identification of variable section beams, the diagonal index of generalized flexibility curvature matrix has a good and stable identification effect. Moreover, the diagonal index of generalized flexibility curvature matrix can identify some damage between measuring points. The normalization method has a slight influence on the damage degree identification of the diagonal index of the g

关 键 词：梁桥 损伤识别 动力指纹 广义柔度 曲率矩阵对角指标 

分 类 号：U442.5[建筑科学—桥梁与隧道工程]