Volume 42 Issue 7
Jul.  2016
Turn off MathJax
Article Contents
YANG Juntan, QIU Zhiping, LI Qiet al. Damage detection of structures with interval uncertain parameters[J]. Journal of Beijing University of Aeronautics and Astronautics, 2016, 42(7): 1509-1517. doi: 10.13700/j.bh.1001-5965.2015.0398(in Chinese)
Citation: YANG Juntan, QIU Zhiping, LI Qiet al. Damage detection of structures with interval uncertain parameters[J]. Journal of Beijing University of Aeronautics and Astronautics, 2016, 42(7): 1509-1517. doi: 10.13700/j.bh.1001-5965.2015.0398(in Chinese)

Damage detection of structures with interval uncertain parameters

doi: 10.13700/j.bh.1001-5965.2015.0398
  • Received Date: 17 Jun 2015
  • Publish Date: 20 Jul 2016
  • To deal with structures with uncertain parameter which often lacks sufficient statistical information in damage detection, the uncertain parameters were modeled as interval numbers. The structural strain modal testing method was introduced using finite element method, and the strain modal was further expressed as the function of the interval parameter. Combined with the first order Taylor expansion and interval analysis, the range of each strain modal under parameter uncertainty is estimated, and thus we obtained an approach for structural damage detection considering uncertainty. Comparison between the proposed method and the traditional probabilistic method was conducted. Numerical simulations of a simply supported beam under different damage were performed by investigating the change of strain modes due to different damage levels and uncertainty levels. The influence rules of damage and uncertainty on strain modal were obtained, and a brief discussion of the impact of noise on damage detection was performed. The work of this paper provides a new technique and thought for damage detection of uncertain structures.

     

  • loading
  • [1]
    DOEBLING S W,FARRAR C R,PRIME M B.A summary review of vibration-based damage identification methods[J].Shock and Vibration Digest,1998,30(2):91-105.
    [2]
    LIU Y,NAYAK S.Structural health monitoring:State of the art and perspectives[J].Journal of the Minerals,Metals and Materials Society,2012,64(7):789-792.
    [3]
    郑栋梁,李中付,华宏星.结构早期损伤识别技术的现状和发展趋势[J].振动与冲击,2002, 21(2):1-6.ZHENG D L,LI Z F,HUA H X.A summary review of structural initial damage identification methods[J].Journal of Vibration and Shock,2002,21(2):1-6(in Chinese).
    [4]
    SALAWU O S.Detection of structural damage through changes in frequency:A review[J].Engineering Structures,1997,19(9):718-723.
    [5]
    OU J,LI H.Structural health monitoring in mainland China:Review and future trends[J].Structural Health Monitoring,2010,9(3):219-231.
    [6]
    李德葆,陆秋海.实验模态分析及其应用[M].北京:科学出版社,2001:29-36.LI D B,LU Q H.Experimental modal analysis and its application[M].Beijing:Science Press,2001:29-36(in Chinese).
    [7]
    CHONDROS T G,DIMAROGONAS A D.Identification of cracks in welded joints of complex structures[J].Journal of Sound and Vibration,1980,69(4):531-538.
    [8]
    CAWLEY P,ADAMS R D.The location of defects in structures from measurements of natural frequencies[J].The Journal of Strain Analysis for Engineering Design,1979,14(2):49-57.
    [9]
    ADAMS R D,CAWLEY P,PYE C J,et al.A vibration technique for non-destructively assessing the integrity of structures[J].Journal of Mechanical Engineering Science,1978,20(2):93-100.
    [10]
    ZHU H P,HE B,CHEN X Q.Detection of structural damage through changes in frequency[J].Wuhan University Journal of Natural Sciences,2005,10(6):1069-1073.
    [11]
    杜思义,殷学纲,陈淮.基于频率二阶摄动的结构损伤识别方法[J].应用力学学报,2007,23(4):613-617.DU S Y,YIN X G,CHEN H.Structural damage identification based on second-order perturbation of frequency[J].Chinese Journal of Applied Mechanics,2007,23(4):613-617(in Chinese).
    [12]
    YI T H,LI H N,GU M.Optimal sensor placement for structural health monitoring based on multiple optimization strategies[J].Structural Design of Tall and Special Buildings,2011,20(7):881-900.
    [13]
    ALLEMANG R J.The modal assurance criterion-twenty years of use and abuse[J].Sound and Vibration,2003,37(8):14-23.
    [14]
    董聪,丁辉.结构损伤识别和定位的基本原理与方法[J].中国铁道科学,1999,20(3):89-94.DONG C,DING H.The basic principle and method for recognition and location of structural damage[J].China Railway Science,1999,20(3):89-94(in Chinese).
    [15]
    QIU Z P,CHEN S H,ELISHAKOFF I.Natural frequencies of structures with uncertain but nonrandom parameters[J].Journal of Optimization Theory and Applications,1995,86(3):669-683.
    [16]
    宗周红,牛杰,王浩.基于模型确认的结构概率损伤识别方法研究进展[J].土木工程学报,2012,45(8):121-130.ZONG Z H,NIU J,WANG H.A review of structural damage identification methods based on finite element model validation[J].China Civil Engineering Journal,2012,45(8):121-130(in Chinese).
    [17]
    林秀萍.基于概率统计方法的结构损伤识别研究[D].重庆:重庆大学,2009:15-20.LIN X P.The studies on structural damage detection based on probability statistics method[D].Chongqing:Chongqing University,2009:15-20(in Chinese).
    [18]
    PALMA R,RUS G,GALLEGO R.Probabilistic inverse problem and system uncertainties for damage detection in piezoelectrics[J].Mechanics of Materials,2009,41(9):1000-1016.
    [19]
    村井秀児,伊藤博幸,内海栄一.ダイナミックデザインアナリシスの研究(パート2)[J].コマツ技報,1979,25(2):73-82. MURAI S,ITO H,UTSUMI E.Study of dynamic design analysis (Part 2) [J].Komatsu Technical Report,1979,25 (2):73-82(in Japanese).
    [20]
    顾培英.基于应变模态技术的结构损伤诊断直接指标法研究[D].南京:河海大学,2006:28-33.GU P Y.Study on structural damage diagnosis method based on direct indicators of strain mode technology[D].Nanjing:Hohai University,2006:28-33(in Chinese).
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views(775) PDF downloads(513) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return