Study on the Application of Interval Frequency Index in Structural Damage Identification
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: | Most performance indices of civil engineering structures have uncertainty in actual values, which affect the effect of structural damage detection. For this reason, based on the natural frequency index, a method using small sample analysis to obtain the interval representative value of the frequency was proposed for damage detection. Firstly, a special study on the small sample analysis was carried out: the small sample analysis methods related to normal distribution and uniform distribution were explained through examples and then the specific method of obtaining interval parameter values was clarified. Subsequently, two specific damage detection methods based on the interval representative value of the frequency were proposed: (1) Taking the median of the interval as the frequency representative value, which can fully take into account the habit of deterministic operation and apply conventional damage identification methods directly; (2) Directly taking interval values as frequency representative values, which can distinguish whether damage occurs directly by the sensitivity of interval type frequency values to parameter changes. Further research is needed to identify the location and degree of damage. Finally, two large-scale bridges (Qingdao Cangkou Waterway Bridge and Shanghai Nanpu Bridge) were combined to provide application examples for explanation. |
| Keywords: | Small Sample; Interval Number; Natural Frequency; Damage Detection |
| DOI: | 10.57237/j.cear.2023.02.005 |
View:
Downloads:
Received: 20 July 2023
Accepted: 5 September 2023
Published Online: 8 September 2023
References
| [1] | Atefeh S, Hashem J, L. M N. Damage detection and monitoring in heritage masonry structures: Systematic review [J]. Construction and Building Materials, 2023, 397. |
| [2] | Daniel K, Radosław Z, Agnieszka W. Identification of fault frequency variation in the envelope spectrum in the vibration-based local damage detection in possible changing load/speed conditions [J]. Measurement, 2023, 218. |
| [3] | Sahar H, Mohsen M, Ulrike D. Johansen cointegration of frequency response functions contaminated with nonstationary colored noise for structural damage detection [J]. Journal of Sound and Vibration, 2023, 552. |
| [4] | Sha G, Radzieński M, Cao M, et al. A novel method for single and multiple damage detection in beams using relative natural frequency changes [J]. Mechanical Systems and Signal Processing, 2019, 132: 335-352. |
| [5] | Pan J, Zhang Z, Wu J, et al. A novel method of vibration modes selection for improving accuracy of frequency-based damage detection [J]. Composites, 2019, 159: 437-446. |
| [6] | Vahidi M, Vandani S, Rahimian M, et al. Evolutionary-base finite element model updating and damage detection using modal testing results [J]. Structural Engineering and Mechanics, 2019, 70 (3): 339-350. |
| [7] | GB50107-2010, 混凝土强度检验评定标准 [S]. |
| [8] | 庄楚强, 何春雄. 应用数理统计基础 (第3版) [M]. 广州: 华南理工大学出版社, 2006. |
| [9] | 龙文武, 王劲松, 卢恺. 泡沫混凝土力学性能研究 [J]. 新型建筑材料, 2016, 9: 98-101. |
| [10] | 庄楚强, 吴亚森. 应用数理统计基础 [M]. 广州: 华南理工大学出版社, 1992. |
| [11] | 丁百湛, 季柳红. 混凝土多孔砖抗压强度测量结果的不确定度评定 [J]. 砖瓦, 2006, 5: 64-65. |
| [12] | 王明章. 浅谈统计方法在混凝土质量控制中的应用 [J]. 黑龙江水利科技, 2002, 3: 62-63. |
| [13] | 陈希孺. 概率论与数理统计 [M]. 合肥: 中国科学技术大学出版社, 2017. |
| [14] | 丁威, 崔国惠. 大气条件下混凝土中钢筋锈蚀程度发展对保护层开裂和钢筋力学性能影响的试验研究 [J]. 结构工程师, 2000, 3: 38-40. |
| [15] | 潘高田, 胡军峰. 小样本的均匀分布参数的区间估计和假设检验 [J]. 数学的实践与认识, 2002, 32 (4): 629-631. |
| [16] | 焦莉, 张海, 刘明. 回弹法检测砌体中烧结普通砖抗压强度 [J]. 沈阳建筑大学学报（自然科学版）, 2004, 20 (4): 284-286. |
| [17] | 郑军华, 张启伟, 刘剑锋. 南浦大桥结构技术状况检侧与分析 [J]. 城市道桥与防洪, 2008, 1: 67-72. |
Join the Editorial Board
We invite active, qualified and high profile scientists and researchers to join as Editorial Board Members.
Join UsBecome a Reviewer
Scholars with a strong interest in reviewing are invited to join the reviewer panel to ensure the quality of the research to be published.
Join Us