基于位移平均曲率差的桥梁结构损伤识别方法研究

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振动与冲击 ›› 2023, Vol. 42 ›› Issue (10) : 240-250.

论文

巫生平1，2，蒋国平1

作者信息 +

Research on damage identification method of bridge structure based on displacement average curvature difference

WU Shengping1，2， JIANG Guoping1

Author information +

文章历史 +

摘要

针对结构损伤识别受外界随机荷载干扰较大的问题，本文提出了归一化位移均值波形的平均曲率差法。该方法将多样本组的位移响应均值作为损伤特征函数，初步消除噪声的影响；再将位移均值曲线的曲率归一化处理，并求解曲率差值，大大降低随机荷载的影响；最后以相邻测点的平均曲率差为损伤识别指标判断损伤单元。以简支梁桥和自锚式悬索桥为算例，从理论和数值模型两方面对提出方法进行验证。结果表明，本文提出的方法既能对任一移动荷载作用下的结构进行损伤识别，也适用于随机荷载作用下的结构损伤识别。文中还分析了不同程度噪声对识别效果的影响，从分析结果可以看出，本文提出方法具有较好的抗噪性能。

Abstract

Aiming at the problem that structural damage identification is greatly disturbed by external random loads, this paper proposes the mean curvature difference method of the normalized mean displacement.In this method, the mean value of the displacement response of the multi-sample group is used as the damage characteristic function, and the influence of noise is preliminarily eliminated. Then, the curvature of the displacement mean curve is normalized, and the curvature difference is calculated to greatly reduce the influence of random loads. Finally, the average curvature difference of adjacent measuring points is used as the damage identification index to judge the damaged unit. In this paper, simply supported beam bridge and self-anchored suspension bridge are taken as examples to verify the proposed method from both theoretical and numerical model aspects. The results show that the method proposed in this paper can not only identify the damage of the structure under any moving load, but also is suitable for the damage identification of the structure under the random load. The paper also analyzes the influence of different degrees of noise on the recognition effect. From the analysis results, it can be seen that the method has good anti-noise performance.

导出引用

巫生平1，2，蒋国平1. 基于位移平均曲率差的桥梁结构损伤识别方法研究[J]. 振动与冲击, 2023, 42(10): 240-250

WU Shengping1，2， JIANG Guoping1. Research on damage identification method of bridge structure based on displacement average curvature difference[J]. Journal of Vibration and Shock, 2023, 42(10): 240-250

参考文献

[1] Wang J L, Qiao P Z. Improved damage detection for beam-type structures using a uniform load surface[J]. Structural Health Monitoring, 2007, 6(2): 99-110．
[2] Law S S, Zhang K, Duan Z D. Structural damage detection from coupling forces between substructures under support excitation[J]. Engineering Structures, 2010, 32(8): 2221- 2228．
[3] Yifeng Z, Jinsong Z. Damage identification for bridge structures based on correlation of the bridge dynamic responses under vehicle load[J]. Structures, 2021, 33: 68-76．
[4] Abdollah M, Robert C, Wenjie G. A review of mobile sensing of bridges using moving vehicles: Progress to date, challenges and future trends. Structures, 2022, 44: 1466-1489．
[5] Nair K K, Kiremidjian A S. Time series based structural damage detection algorithm using gaussian mixtures modeling[J]. Journal of Dynamic Systems，Measurement and Control. 2007, 129: 285-293．
[6] Fugate M L, Sohn H, Farrar C R. Vibration-based damage detection using statistical process control[J]. Mechanical Systems and Signal Processing. 2001, 15(4): 707-721．
[7] Sohn H, Farrar C R. Damage diagnosis using time series analysis of vibration signals[J]. Smart materials and structures, 2001, 10(3): 446．
[8] Sohn H, Farrar C R, Hunter N F, et al. Structural health monitoring using statistical pattern recognition techniques [J]. Journal of dynamic systems, measurement and control, 2001, 123(4): 706-711.
[9] Sohn H, Worden K, Farrar C R. Statistical damage classification under changing environmental and operational conditions [J]. Journal of Intelligent Material Systems and Structures. 2002, 13(9): 561-574．
[10] Lu Y, Gao F. A novel time-domain auto-regressive model for structural damage diagnosis[J]. Journal of Sound and Vibration, 2005, 283(3): 1031-1049.
[11] Nair K K, Kiremidjian A S, Law K H. Time series-based damage detection and localization algorithm with application to the ASCE benchmark structure[J]. Journal of Sound and Vibration. 2006, 291(1): 349-368．
[12]李雪艳，刘力菖．利用振动响应协方差参数和数据融合的损伤识别方法[J]．振动工程学报，2021，34(01):141-149．
LI Xueyan, LIU Lichang. Adoption of vibration response covariance and data fusion for damage identification[J]. Journal of Vibration Engineering, 2021,34(01):141-149.
[13]李雪艳，汪羽凡．基于位移响应协方差参数的数值仿真和实测损伤识别研究[J]．计算力学学报，2020，37(05): 629-636．
LI Xueyan, WANG Yufan. Numerical and experimental study of damage identification based on covariance of displacement response[J]. Chinese Journal of Computa- tional Mechanics, 2020, 37(05): 629-636.
[14]李雪艳，赵志强，王立新．基于位移响应协方差参数变化比和模式匹配的梁结构损伤识别方法研究[J]．应用力学学报，2020，37(04): 1784-1791+1876．
LI Xueyan, ZHAO Zhiqiang, WANG Lixin. Study of structural damage identification based on covariance of displacement response and pattern matching method[J]. Chinese Journal of Applied Mechanics, 2020, 37(04): 1784-1791+1876.
[15] 项长生，李凌云，周宇，等．基于模态曲率效用信息熵的梁结构损伤识别[J]．振动与冲击，2020，39(17):234-244．
XIANG Changsheng，LI Lingyun，ZHOU Yu, et al. Damage identification of beam structures based on modal curvature utility information entropy[J]. Journal of Vibration and Shock, 2020, 39(17):234-244.
[16] 吴桐，唐亮，周志祥．基于挠度曲率面积差的桥梁结构损伤识别方法[J]．工程科学与技术，2021，53(06):165-174．
WU Tong, TANG Liang, ZHOU Zhixiang. Deflection curvature area difference method for damage location of bridge structures[J]. Advanced Engineering Sciences, 2021, 53(06): 165-174.
[17] 吴桐，唐亮，周志祥．基于曲率模态面积差方比的桥梁结构损伤识别[J]．公路交通科技，2021，38(11):59-67．
WU Tong, TANG Liang, ZHOU Zhi-xiang. Identifying damage of bridge structure based on curvature mode area difference square ratio[J]. Journal of Highway and Transportation Research and Development, 2021, 38(11): 59- 67.
[18] 李杰，庞栋元，张军锋，等．基于广义柔度曲率矩阵对角指标梁桥结构损伤识别研究[J]．铁道科学与工程学报，2022，19(03):722-732．
LI Jie, PANG Dongyuan, ZHANG Junfeng, et al. Structural damage identification of beam bridges based on diagonal index of generalized flexibility curvature matrix[J]. Journal of Railway Science and Engineering, 2022, 19(03):722-732.
[19] 安永辉．基于振动信息的结构损伤识别的几种新方法[D]．大连：大连理工大学，2014．
AN Yonghui. Several new methods for vibration-based damage identificaiton of structures[D]. Dalian: Dalian university of technology, 2014.
[20] Pandey A K, Biswas M, Samman M M. Damage detection from changes in curvature mode shapes[J]. Journal of Sound and Vibration, 1991, 145(2): 321-332．
[21] Catbas F N，Gul M，Burkett J L．Damage assessment using flexibility and flexibility based curvature for structural health monitoring[J]. Smart Materials and Structures, 2008, 17 (1): 15-24．
[22] 王志坚．工程结构损伤识别的曲率模态方法研究[D]．重庆：重庆交通学院，2004．
WANG Zhijian. The study on curvature mode method of engineering structure damage identificaion[D]. Chongqing: Chongqing Jiaotong University, 2004.
[23] Anil K. Chopra. Dynamics of Structures Theory and Applications to Earthquake Engineering (Fourth Edition), New Jersey: Prentice Hall, 2012.