基于差分挠度曲率的两跨连续梁损伤识别方法
山东建筑大学, 土木工程学院建筑结构加固改造与地下空间工程教育部重点实验室, 山东济南 250101
| 摘 要： | 为提高两跨连续梁损伤识别的有效性和便利性，基于梁体在集中荷载下的挠度数据，提出了一个以局部抗弯刚度和剪切刚度为损伤识别参数、基于相邻挠度测点的差分挠度曲率差值的损伤识别新指标Di。基于Di的损伤识别方法包括四个主要步骤：在梁体上等间隔地布置竖向挠度测点并在其中一跨的跨中位置处施加集中荷载F，实测得到各测点处的yi值后算出各差分挠度曲率值1/ρi；按Di的定义得到具体值后以Di为纵坐标、梁体纵向中轴线上各测点的位置为横坐标画出图形；图形上的突变位置即能指示损伤出现的位置：如果从第j点开始突变，则说明损伤出现在第j+1到j+2测点之间的区域；从Di-1、Di、Di+1中任选两个取值并联立求解相应的定义式，即可确定用局部刚度相对变化量来表征的梁体损伤程度。算例验证的结果表明本方法具有良好的损伤识别效果。 |
| 关 键 词： | 建筑结构; 连续梁; 损伤; 挠度; 曲率 |
| DOI： | 10.57237/j.cear.2023.01.005 |
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收稿日期: 2023-04-27
接受日期: 2023-05-16
在线出版日期: 2023-05-25
Damage Detection Method of Simply Supported Beams Based on Difference of Nearby Difference Curvature Index
Key Laboratory of Building Structural Retrofitting and Underground Space Engineering of Ministry of Education, School of Civil Engineering, Shandong Jianzhu University, Jinan 250101, China
| Abstract: | In order to improve the effectiveness and convenience of damage identification of two-span continuous beams, a new damage identification index Di based on the deflection data of beam under concentrated load, which takes local flexural stiffness and shear stiffness as damage identification parameter, was proposed. The damage detection method based on Di includes four main steps: arranging vertical deflection measurement points at equal intervals on the beam body and applying a concentrated load F at the mid span position of one of the spans. After measuring the yi value at each measurement point, the differential deflection curvature value 1/ρi can be calculated; After obtaining specific values of Di according to the definition, a graph with Di as the vertical coordinate and the positions of each measuring point on the longitudinal axis of the beam as the horizontal coordinate can be drawn; The mutation position on the graph can indicate the location of the damage: if the mutation starts from point j, it indicates that the damage occurs in the area between measurement points j+1 and j+2; By selecting any two values from Di-1, Di, and Di+1 and solving the corresponding definition equation simultaneously, the degree of beam damage characterized by the relative change in local stiffness can be determined. The results of numerical example validation indicate that this method has good damage identification performance. |
| Keywords: | Building Structure; Continuous Beam; Damage; Deflection; Curvature |
基金
| 1. | 长江学者和创新团队发展计划教育部创新团队 (IRT13075) |
| 2. | 山东省高等学校土木结构防灾减灾协同创新中心项目 (XTP201924) |
| 3. | 山东建筑大学博士科研基金项目 (XNBS1205) |
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