上海交通大学学报

上海交通大学学报 >

2025 , Vol. 59 >Issue 4: 541 - 549

DOI: https://doi.org/10.16183/j.cnki.jsjtu.2023.317

船舶海洋与建筑工程

结构损伤识别的改进广义柔度矩阵灵敏度方法

  • 牛梓蓉 ,
  • 吴锋 ,
  • 韩兆龙 ,
  • 卓杨 ,
  • 车爱兰 ,
  • 朱宏博
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  • 1.上海交通大学 船舶海洋与建筑工程学院,上海 200240
    2.上海交通大学 重庆研究院, 重庆 401135
    3.中交上海三航科学研究院有限公司,上海 200032
    4.火箭军工程大学 作战保障学院,西安 710025
牛梓蓉(1989—),博士后,从事结构损伤识别研究.
韩兆龙,教授,博士生导师;E-mail:han.arkey@sjtu.edu.cn.

收稿日期: 2023-07-12

  修回日期: 2023-09-11

  录用日期: 2023-10-19

  网络出版日期: 2023-11-14

基金资助

国家自然科学基金(52108375);国家自然科学基金(52122110);国家自然科学基金(52088102);重庆市自然科学基金(cstc2021jcyj-msxmX0603);上海交通大学深蓝计划(SL2021PT302)

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An Improved Generalized Flexibility Sensitivity Method for Structural Damage Detection

  • NIU Zirong ,
  • WU Feng ,
  • HAN Zhaolong ,
  • ZHUO Yang ,
  • CHE Ailan ,
  • ZHU Hongbo
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  • 1. School of Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China
    2. Chongqing Research Institute, Shanghai Jiao Tong University, Chongqing 401135, China
    3. Shanghai Third Harbor Engineering Science & Technology Research Institute Co., Ltd., Shanghai 200032, China
    4. School of Operational Support, Rocket Force Engineering University, Xi’an 710025, China

Received date: 2023-07-12

  Revised date: 2023-09-11

  Accepted date: 2023-10-19

  Online published: 2023-11-14

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摘要

提出一种改进的广义柔度矩阵灵敏度方法用于结构的损伤识别.首先,在原有方法基础上增加广义柔度矩阵关于损伤系数的高阶灵敏度项,提高损伤识别结果的精度.然后,在求解损伤识别方程时,考虑损伤识别的物理意义,通过增加损伤系数的约束条件,将损伤识别方程转换为最优化问题,并采用序列二次规划算法进行求解,避免出现负损伤系数的情况.最后,采用一个空间桁架结构有限元模型数值算例和一个7层的框架结构模型试验,验证所提方法的有效性和优越性.结果表明,所提方法与原方法相比能更精确地定位损伤位置,识别损伤程度,且适用于大损伤的情形.

关键词： 损伤识别; 广义柔度; 模态; 灵敏度; 最优化

本文引用格式

牛梓蓉 , 吴锋 , 韩兆龙 , 卓杨 , 车爱兰 , 朱宏博 . 结构损伤识别的改进广义柔度矩阵灵敏度方法[J]. 上海交通大学学报, 2025 , 59(4) : 541 -549 . DOI: 10.16183/j.cnki.jsjtu.2023.317

Abstract

This paper proposes an improved generalized flexibility sensitivity method for structural damage detection. The proposed approach improves the accuracy of the original generalized flexibility sensitivity method by increasing the order of the sensitivity in the damage detection equations. Additionly, restraint conditions are applied to the damage coefficients to ensure that they meet the necessary requirements. Then, the resulting nonlinear damage detection equations are solved using sequential quadratic programming method, whose calculation is simple and efficient. Finally, the proposed approach is validated numerically and experimentally using a truss structure finite element model and a 7-story steel-frame structure experiment, respectively. The results show that the proposed approach provides more accurate damage location and severity detection compared with the original method. Furthermore, it is better suited for cases involving large damage severity.

Key words： structural damage detection; generalized flexibility; modal; sensitivity; optimization

参考文献

[1] BERNAGOZZI G, MUKHOPADHYAY S, BETTI R, et al. Proportional flexibility-based damage detection for buildings in unknown mass scenarios: The case of severely truncated modal spaces[J]. Engineering Structures, 2022, 259: 114145.
[2] WANG F, LI R, XIAO Y, et al. A strain modal flexibility method to multiple slight damage localization combined with a data fusion technique[J]. Measurement, 2021, 182: 109647.
[3] KHATIR S, TIACHACHT S, LE THANH C, et al. A new robust flexibility index for structural damage identification and quantification[J]. Engineering Failure Analysis, 2021, 129: 105714.
[4] WICKRAMASINGHE W R, THAMBIRATNAM D P, CHAN T H. Damage detection in a suspension bridge using modal flexibility method[J]. Engineering Failure Analysis, 2020, 107: 104194.
[5] LI J, WU B S, ZENG Q, et al. A generalized flexibility matrix based approach for structural damage detection[J]. Journal of Sound and Vibration, 2010, 329(22): 4583-4587.
[6] 李晶, 吴柏生. 基于广义柔度矩阵的结构损伤识别方法[J]. 吉林大学学报: 理学版, 2009, 47(4): 737-739.
  LI Jing, WU Baisheng. A structural damage identification method based on generalized flexibility matrix[J]. Journal of Jilin University (Science Edition), 2009, 47(4): 737-739.
[7] 赵博, 徐自力, 阚选恩. 拉杆转子界面局部脱开识别的改进广义柔度矩阵法[J]. 振动工程学报, 2017, 30(5): 724-729.
  ZHAO Bo, XU Zili, KAN Xuanen. Method of detection of partial separation of interface in rod-fastened rotors with modified generalized flexible matrix[J]. Journal of Vibration Engineering, 2017, 30(5): 724-729.
[8] 杨秋伟, 王学航, 李翠红. 基于高次广义柔度灵敏度的结构损伤识别[J]. 固体力学学报, 2019, 40(2): 157-168.
  YANG Qiuwei, WANG Xuehang, LI Cuihong. Structural damage assessment using the high-order generalized flexibility sensitivity method[J]. Chinese Journal of Solid Mechanics, 2019, 40(2): 157-168.
[9] 周卫东, 杨秋伟, 赵卫. 环境激励下结构损伤识别广义柔度扰动法[J]. 振动与冲击, 2013, 32(23): 166-169.
  ZHOU Weidong, YANG Qiuwei, ZHAO Wei. Damage identification with generalized flexibility perturbation method under ambient excitation[J]. Journal of Vibration and Shock, 2013, 32(23): 166-169.
[10] LIU H, WU B, LI Z. The generalized flexibility matrix method for structural damage detection with incomplete mode shape data[J]. Inverse Problems in Science and Engineering, 2021, 29(12): 2019-39.
[11] MASOUMI M, JAMSHIDI E, BAMDAD M. Application of generalized flexibility matrix in damage identification using Imperialist Competitive Algorithm[J]. KSCE Journal of Civil Engineering, 2015, 19(4): 994-1001.
[12] 杨秋伟, 孙斌祥. 结构损伤识别的改进柔度灵敏度方法研究[J]. 振动与冲击, 2011, 30(5): 27-31.
  YANG Qiuwei, SUN Binxiang. An improved flexibility sensitivity method for structural damage detection[J]. Journal of Vibration and Shock, 2013, 30(5): 27-31.
[13] 马昌凤. 最优化方法及其Matlab程序设计[M]. 北京: 科学出版社, 2022.
  MA Changfeng. Optimization method and Matlab program[M]. Beijing: Science Press, 2022.
[14] FATHI A, ESFANDIARI A, FADAVIE M, et al. Damage detection in an offshore platform using incomplete noisy FRF data by a novel Bayesian model updating method[J]. Ocean Engineering, 2020, 217: 108023.
[15] 曹晖, 林秀萍. 结构损伤识别中噪声的模拟[J]. 振动与冲击, 2010, 29(5): 106-109.
  CAO Hui, LIN Xiuping. Noise simulation in structural damage identification[J]. Journal of Vibration and Shock, 2010, 29(5): 106-109.
[16] 洪彧. 基于振动信号的桥梁结构模态参数识别与模型修正研究[D]. 成都: 西南交通大学, 2019.
  HONG Yu. Research on modal identification and model updating of bridge structure based on dynamic response[D]. Chengdu: Southwest Jiaotong University, 2019.
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