基于自由度缩聚的最小秩修正损伤诊断

李国庆; 罗帅; 张丽

doi:10.21656/1000-0887.410138

基于自由度缩聚的最小秩修正损伤诊断

doi: 10.21656/1000-0887.410138

¹绍兴文理学院土木工程学院, 浙江绍兴 312000;²南昌大学共青学院土木工程系, 江西九江 332020

基金项目: 广东省自然科学基金(2015A030310168)

详细信息

作者简介:
李国庆（1993—），男，硕士（E-mail: 1731526587@qq.com);罗帅(1981—），男，讲师，硕士生导师(通讯作者. E-mail: 839335743@qq.com).

中图分类号: TU317
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- 被引次数: 0
出版历程
- 收稿日期: 2020-05-13
- 修回日期: 2020-05-31
- 刊出日期: 2020-10-01

Minimum Rank Correction Damage Identification Based on Modal Reduction

¹School of Civil Engineering, Shaoxing University, Shaoxing, Zhejiang 312000, P.R.China;²Department of Civil Engineering, Gongqing College of Nanchang University, Jiujiang, Jiangxi 332020, P.R.China

摘要

摘要: 为了解决实测模态参数与有限元分析模态参数不匹配对损伤诊断精度影响的问题，推导了基于自由度缩聚法的残余力向量公式及最小秩修正公式.通过对结构自由度缩聚后的损伤前、后残余力向量的运算，可以得出相较于损伤前的残余力变化率向量，将残余力变化率向量元素的绝对值作为改进的残余力向量，通过运用推导出的改进残余力向量，能够较好地解决采用最小秩修正法时所选取模态个数必须等于待修正刚度矩阵秩这一矛盾，并由缩聚后最小秩修正公式计算出损伤程度.研究表明：在考虑噪音干扰下，改进的残余力向量法对自由度缩聚后的受损结构依然具有较高地识别精度.利用推导的最小秩修正公式进行损伤程度识别其结果是可靠的.本文所提方法既可以实现对实测自由度不完备结构的损伤定位，又可进行损伤程度的识别，具有较高的鲁棒性和损伤诊断性能.
- 最小秩修正 /
- 模态缩聚 /
- 残余力向量 /
- 抗噪分析 /
- 损伤诊断
Abstract: To solve the problem that the measured modal parameters and the finite element analysis modal parameters do not match in damage identification, the residual force vector formula and the minimum rank update formula based on the modal reduction method were derived. Through the calculation of the residual force vectors of damaged and undamaged structures, the change rate of the residual force vector was obtained, and the absolute values of the residual force change rate vector elements were defined as the improved residual force vector. With the improved residual force vector, the correct number of modes used in the minimum rank update method was determined, and the minimum rank update formula based on modal reduction was used to calculate the damage extent. The results show that, under noise interference, the presented method could well locate the damage with incomplete modal data. The damage extent identification based on the derived minimum rank update formula is reliable. The method is robust and accurate in structural damage identification for measured incompleteDOF structures.
- minimum rank update method /
- modal reduction /
- residual force vector /
- noise immunity /
- damage identification

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参考文献(17)

[1]	何绪飞, 艾剑良, 宋智桃. 多元数据融合在无人机结构健康监测中的应用[J]. 应用数学和力学, 2018,39(4): 395-402.(HE Xufei, AI Jianliang, SONG Zhitao. Multi-source data fusion for health monitoring of unmanned aerial vehicle structures[J]. Applied Mathematics and Mechanics,2018,39(4): 395-402.(in Chinese))
[2]	CUI H Y, DU H Y, ZHAO F Y, et al. Damage identification in a plate structure based on a cross-direction strain measurement method[J].Measurement,2020,158: 107714. DOI: 10.1016/j.measurement.2020.107714.
[3]	HUANG X Y, LIU Z L, ZHANG X Y, et al. Surface damage detection for steel wire ropes using deep learning and computer vision techniques[J]. Measurement,2020,〖STHZ〗 161: 107843. DOI: 10.1016/j.measurement.2020.107843.
[4]	KANKANAMGE Y, HU Y F, SHAO X Y. Application of wavelet transform in structural health monitoring[J]. Earthquake Engineering and Engineering Vibration,2020,19(3): 515-532.
[5]	YU L, CHENG L, YAM L H, et al. Application of eigenvalue perturbation theory for detecting small structural damage using dynamic responses[J]. Composite Structures,2007,78: 402-409.
[6]	YANG Q W. A new damage identification method based on structural flexibility disassembly[J]. Journal of Vibration and Control,2011,17(7): 1000-1008.
[7]	杨秋伟, 刘济科. 基于最小秩修正的结构损伤识别方法[J]. 机械强度, 2007,29(6): 891-893.(YANG Qiuwei, LIU Jike. Structural damage identification based on the minimum rank update method[J]. Journal of Mechanical Strength,2007,29(6): 891-893.(in Chinese))
[8]	蒋舸, 冯晓东. 空间桁架结构残余力最小秩修正法损伤识别[J]. 机械强度, 2019,41(6): 1480-1485.(JIANG Ge, FENG Xiaodong. Residual force minimum rank update method for damage identification of space truss structures[J]. Journal of Mechanical Strength,2019,41(6): 1480-1485.(in Chinese))
[9]	杨秋伟, 刘济科. 结构损伤检测的最小秩修正方法[J]. 振动与冲击, 2008,27(4): 7-9.(YANG Qiuwei, LIU Jike. Structural damage detection with minimum-rank update method[J]. Journal of Vibration and Shock,2008,27(4): 7-9.(in Chinese))
[10]	罗虹, 李军, 曹友强, 等. 有限元模型动力缩聚中主副自由度选取方法[J]. 机械设计, 2010,27(12): 11-14.(LUO Hong, LI Jun, CAO Youqiang, et al. Methods for selecting the master and slave degrees of freedom in dynamic condensation technique of finite element models[J]. Journal of Machine Design,2010,27(12): 11-14.(in Chinese))
[11]	刘伟, 高维成, 孙毅. 自由度匹配技术在网壳结构损伤识别应用中的比较研究[J]. 振动与冲击, 2007,26(2): 107-111, 179-180.(LIU Wei, GAO Weicheng, SUN Yi. Comparative study of model match techniques used in damage detection on reticulated shell[J]. Journal of Vibration and Shock,2007,26(2): 107-111, 179-180.(in Chinese))
[12]	伊廷华, 李宏男, 顾明. 基于模型缩聚的广州新电视塔传感器优化布置研究[J]. 工程力学, 2012,29(3): 55-61.(YI Tinghua, LI Hongnan, GU Ming. Reserach on optimal sensor placement of Guangzhou new TV tower based on model reduction[J]. Engineering Mechanics,2012,29(3): 55-61.(in Chinese))
[13]	杨秋伟, 刘济科. 一种改进的模型缩聚方法[J]. 力学与实践, 2006,28(2): 70-72.(YANG Qiuwei, LIU Jike. An improved method for structural finite element modal reduction[J]. Mechanics and Engineering,2006,28(2): 70-72.(in Chinese))
[14]	孙增寿, 王冉. 基于残余力向量的桁架梁损伤识别研究[J]. 力学与实践, 2016,38(5): 526-530.(SUN Zengshou, WANG Ran. Damage recognition of truss structure based on residual force vector[J]. Mechanics and Engineering,2016,38(5): 526-530.(in Chinese))
[15]	孟凡豪, 于靖军, 马文硕. 基于动态测量柔度矩阵的弦索桥吊索损伤检测[J]. 振动与冲击, 2019,38(14): 267-275.(MENG Fanhao, YU Jingjun, MA Wenshuo. Damage detection of suspension bridge sling based on dynamic measurement flexibility matrix[J]. Journal of Vibration and Shock,2019,38(14): 267-275.(in Chinese))
[16]	刘春城, 侯尚雨, 侯立群. 基于多尺度模型的输电塔裂纹损伤识别及抗噪性能分析[J]. 水电能源科学, 2016,34(2): 177-181, 216.(LIU Chuncheng, HOU Shangyu, HOU Liqun. Transmission tower crack damage identification and analysis of anti-noise performance based on multi-scale model[J]. International Journal Hydroelectric Energy,2016,34(2): 177-181, 216.(in Chinese))
[17]	黄立新, 岳世燕, 胡中明, 等. 功能梯度经典梁损伤识别模态应变能变化率法的抗噪音性能研究[J]. 玻璃钢/复合材料, 2016(2): 35-39.(HUANG Lixin, YUE Shiyan, HU Zhongming, et al. A study of anti-noise properties of modal strain energy change ratio method for the damage identification of functionally graded classical beam[J]. Fiber Reinforced Plastics/Composites,2016(2): 35-39.(in Chinese))