基于模态曲率效用信息熵的梁结构损伤识别

PDF(2507 KB)

振动与冲击 ›› 2020, Vol. 39 ›› Issue (17) : 234-244.

论文

基于模态曲率效用信息熵的梁结构损伤识别

项长生1,2，李凌云1，周宇3，原子1

作者信息 +

Damage identification of beam structures based on modal curvature utility information entropy

XIANG Changsheng1,2, LI Lingyun1, ZHOU Yu3, YUAN Zi1

Author information +

文章历史 +

摘要

基于信息熵理论，结合现有的模态曲率指标在梁结构损伤识别中的优势，提出模态曲率效用信息熵指标。指标通过计算互重变化矩阵和权重-概率系数，综合地反映结构的损伤位置和损伤程度。采用简支梁算例对指标进行验证，结果表明：模态曲率效用信息熵充分利用了模态曲率对损伤位置较敏感的优势，且能有效地克服其不足之处，能够准确地定位结构的损伤位置，定性反应损伤程度且具有良好的抗噪性，为梁结构的损伤识别提供了有效的理论借鉴。最后，以试验室简支梁模型作为试验对象，对所提指标在工程中应用的可行性进行了验证。

Abstract

Based on the information entropy theory, combined with the advantage of modal curvature index in the damage identification of beam structures, the modal curvature utility information entropy index is proposed. The index comprehensively reflects the damage state of the structure by calculating Mutual re-transformation matrix and the weight-probability coefficient. A simply-supported beam example is established to verify the index. The results show that the modal curvature utility information entropy index take advantage of the merits of the modal curvature index which is sensitive to damage and can overcome its shortcomings effectively. The index proposed can identify the damage location and damage degree accurately of structure and has certain noise immunity, which provides an effective damage identification method for beam structures. Finally, an actual simply-supported beam is taken as the experimental object to verify the effectiveness of the index in practical engineering.

导出引用

项长生1,2，李凌云1，周宇3，原子1. 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 Changsheng1,2, LI Lingyun1, ZHOU Yu3, YUAN Zi1. Damage identification of beam structures based on modal curvature utility information entropy[J]. Journal of Vibration and Shock, 2020, 39(17): 234-244

参考文献

[1] 贺栓海，赵祥模，马建，等. 公路桥梁检测及评价技术综述[J]. 中国公路学报，2017,30（11）: 63-80.
HE Shuan-hai, ZHAO Xiang-mo, MA, Jian, et al. Review of highway bridge inspection and condition assessment[J]. China Journal of Highway and Transport, 2017, 30(11):63-80.
[2] 李宏男，高东伟，伊廷华. 土木工程结构健康监测系统的研究现状与进展[J]. 力学进展，2008,38（2）: 152-164.
LI Hong-nan, GAO Dong-wei, YIN Ting-hua. Research status and progress of structural health monitoring system in civil engineering[J]. Advances in Mechanics, 2008,38（2）: 152-164.
[3] 郭国会，易伟健. 基于模态参数进行连续梁损伤诊断的数值研究[J]. 振动与冲击，2001,20（1）: 72-75.
GUO Guo-hui, YI Wei-jian. A numerical study on damage diagnosis of a continuous beam using modal parameters[J]. Journal of Vibration and Shock, 2001,20（1）: 72-75.
[4] 张家滨，唐催，王磊，等. 基于频率变化率的结构刚度非均匀退化识别[J]. 振动、测试与诊断，2018,38（3）: 486-493.
ZHANG Jia-bin, TANG Cui, WANG Lei, et al. Nonuniform degradation identification of structural stiffness based on frequency rate of change[J]. Journal of Vibration Measurement & Diagnosis, 2018,38（3）: 486-493.
[5] 周宇，狄生奎，项长生，等. 基于柔度曲率梯度的刚架拱桥损伤识别[J]. 应用基础与工程科学学报，2017,25（6）: 1211-1221.
ZHOU Yu, DI Sheng-kui, XIANG Chang-sheng, et al Damage identification of rigid frame arch bridge based on curvature gradient[J]. Journal of Basic Science and Engineering, 2017,25（6）: 1211-1221.
[6] Z Y SHI, S S LAW. Structural damage localization from modal strain energy change [J]. Journal of Sound and Vibration, 1998, 218(5): 825-844.
[7] Pandey A K, Biswas M, Samman M M. Damage detection from changes in curvature mode shape [J]. Journal of Sound and Vibration, 1991, 145(2): 321-332.
[8] 李功宇，郑华文. 损伤结构的曲率模态分析[J]. 振动、测试与诊断，2002，22（2）: 136-152.
LI Gong-yu, ZHENG Hua-wen. Curvature modal analysis of damaged structures[J]. Journal of Vibration Measurement & Diagnosis, 1991, 145(2): 321-332.
[9] 刘义伦，时圣鹏，廖伟. 利用曲率模态识别桥梁损伤的研究[J]. 振动与冲击，2011,30（8）: 77-96.
LIU Yi-lun, SHI Sheng-peng, LIAO Wei. Bridge damage identification using curvature mode shapes[J]. Journal of Vibration and Shock, 2011,30（8）: 77-96.
[10] 彭华，游春华，孟勇. 模态曲率差对梁结构的损伤诊断[J]. 工程力学，2006,23（7）: 49-53.
PENG Hua, YOU Chun-hua, MENG Yong. Damage diagnosis of beam structures by modal curvature difference method[J]. Engineering Mechanics, 2006,23（7）: 49-53.
[11] 张晋，彭华，游春华. 基于叠加曲率模态改变率的梁结构损伤诊断[J]. 工程力学，2012,29（11）: 272-301.
ZHANG Jin, PENG Hua, YOU Chun-hua. Damage diagnosis of beam structures based on superimposed curvature modal change rate[J]. Engineering Mechanics, 2012,29（11）: 272-301.
[12] 张勇，静行，袁海庆. 基于曲率模态变化率指标的结构损伤识别[J]. 华中科技大学学报（城市科学版），2010,27（2）: 82-85.
ZHANG Yong, JING Xing, YUAN Hai-qing. Structural damage identification based on curvature modal change rate index[J]. J. of HUST. (Urban Science Edition), 2010,27（2）: 82-85.
[13] 唐盛华，苏彬建，楚加庆，等. 结构损伤识别频率权值叠加曲率模态改变率方法[C]//第27届全国结构工程学术会议论.西安:2018.197-205.
TANG Sheng-hua, SU Bin-jian, CHU Jia-qing, et al. The frequency weighted superimposed curvature modal change rate method for structural damage identification[C]//The 27th national academic conference on structural engineering. Xian, China: 2018.197-205
[14] 丛培江，顾冲时，谷艳昌. 大坝安全监控指标拟定的最大熵法[J]. 武汉大学学报（信息科学版），2008,33（11）: 1126-1129.
CONG Pei-jiang, GU Chong-shi, GU Yan-chang. Maximum entropy method for dam safety monitoring index[J]. Geomatics and Information Science of Wuhan University, 2008,33（11）: 1126-1129.
[15] 许传华，任青文. 围岩稳定性分析的熵突变准则研究[J]. 岩土力学，2004,25（3）: 437-440.
XU Chuan-hua, REN Qing-wen. Study on entropy mutation criterion for stability analysis of surrounding rock[J]. Rock and Soil Mechanics, 2004,25（3）: 437-440.
[16] 郑近德，陈敏均，程军圣，等. 多尺度模糊熵
及其在滚动轴承故障诊断中的应用[J]. 振动工程学报，2014,27（1）: 145-151.
ZHENG Jin-de, CHEN Min-jun, CHENG Jun-sheng, et al. Multiscale fuzzy entropy and its application in rolling bearing fault diagnosis[J]. Journal of Vibration Engineering, 2014,27（1）: 145-151.
[17] 刘国华，吴志根. 引入信息熵理论的砼结构损伤动力识别新思路[J]. 振动与冲击，2011,30（6）: 162-171.
LIU Guo-hua, WU Zhi-gen. New thought on dynamic identification technology for damage detection of RC structures by introducing information entropy theory[J]. Journal of vibration and shock, 2011,30（6）: 162-171.
[18] 谢中凯，刘国华. 近似熵在混凝土结构损伤识别中的应用[J]. 浙江大学学报（工学版），2013,47（3）: 456-463.
XIE Zhong-kai, LIU Guo-hua. Application of approximate entropy in concrete strutures damage identification[J]. Journal of Zhejiang University (Engineering Science), 2013,47（3）: 456-463.
[19] 丛培江，顾冲时，王建. 熵理论在分析混凝土裂缝扩展过程中的应用探索[J]. 应用基础与工程科学学报，2008,16（1）: 50-56.
CONG Pei-jang, GU Chong-shi, WANG Jian. Application of entropy theory in the analysis of concrete crack propagation process. Journal of Basic Science and Engineering, 2008,16（1）: 50-56.
[20] 项长生，程建署，周宇，等. 基于耗散体系的混凝土裂缝演化熵变研究[J]. 兰州理工大学学报，2017，43（3）: 122-126.
XIANG Chang-sheng, CHENG Jian-shu, ZHOU Yu, et al. Study on the entropy change of concrete crack evolution based on dissipative system[J]. Journal of Lanzhou University of Technology, 2017，43（3）: 122-126.
[21] 姜丹.信息论与编码[M].合肥：中国科学技术大学出版社，2009.
JIANG Dan. Information theory and coding[M]. Hefei: University of science and technology of China press, 2009.
[22] 刘晶波，杜修力.结构动力学[M].北京：机械工业出版社，2005.
LIU Jing-bo, DU Xiu-li. Structural dynamics[M]. Beijing: China Machine Press, 2005.
[23]梁兴文，叶艳霞.混凝土结构非线性分析[M].北京:中国建筑工业出版社，2015.
LIANG Xing-wen, YE Yan-xian. Nonlinear analysis of concrete structures[M]. Beijing: china building industry press, 2005.
[24] YANG Zhi-bo, CHEN Xue-feng, JIANG Yong-ying, et al. Generalized local entropy analysis for crack detection in beam-like structures [J]. Nondestructive Testing and Evaluation, 2014, 29 (2):133-153.
[25] J.Ciambella, F.Vestroni, The use of modal curvatures for damage localization in beam-type structures [J]. Journal of Sound and Vibration, 2015, 340:126-137.
[26] 周宇，狄生奎，王立宪，等. 基于柔度指标的系杆拱桥损伤识别与寿命预测[J]. 防灾减灾工程学报，2018,38（6）: 1033-1043.
ZHOU Yu, DI Sheng-kui, WANG Li-xian, et al Damage detection and life prediction of tied arch bridge based on flexibility-curvature-difference-rate[J]. Journal of Disaster Prevention and Mitigation Engineering, 2018,38（6）: 1033-1043.
[27] 徐典，杨佑发. 基于柔度曲率曲线的结构损伤识别指标[J]. 建筑结构学报，2012,33（12）: 147-152.
XU Dian, YANG You-fa. A method for structural damage detection based on intact flexibility-curvature curve[J]. Journal of Building Structures, 2012,33（12）: 147-152.
[28] 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 Xiu-ping. Simulation of noise in structural damage identification[J]. Journal of vibration and shock, 2010,29（5）: 106-109.
[29] 安永辉，欧进萍. 简支梁损伤程度识别的模拟和试验[J]. 振动、测试与诊断，2013,33 （1）: 60-65.
AN Yong-hui, OU Jin-ping. Simulation and test of damage identification of simply supported beam bridge[J]. Journal of Vibration Measurement & Diagnosis, 2013,33 （1）: 60-65.