Smart Structures and Systems

  • 제22권5호
  • /
  • Pages.621-630
  • /
  • 2018
  • /
  • 1738-1584(pISSN)
  • /
  • 1738-1991(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

A damage localization method based on the singular value decomposition (SVD) for plates

  • Yang, Zhi-Bo (School of Mechanical Engineering, Xi'an Jiaotong University) ;
  • Yu, Jin-Tao (School of Mechanical Engineering, Xi'an Jiaotong University) ;
  • Tian, Shao-Hua (School of Mechanical Engineering, Xi'an Jiaotong University) ;
  • Chen, Xue-Feng (School of Mechanical Engineering, Xi'an Jiaotong University) ;
  • Xu, Guan-Ji (School of Mechanical Engineering, Chongqing University)
  • 투고 : 2018.08.19
  • 심사 : 2018.11.12
  • 발행 : 2018.11.25
⟨ 이전 논문 다음 논문 ⟩

초록

Boundary effect and the noise robustness are the two crucial aspects which affect the effectiveness of the damage localization based on the mode shape measurements. To overcome the boundary effect problem and enhance the noise robustness in damage detection, a simple damage localization method is proposed based on the Singular Value Decomposition (SVD) for the mode shape of composite plates. In the proposed method, the boundary effect problem is addressed by the decomposition and reconstruction of mode shape, and the noise robustness in enhanced by the noise filtering during the decomposition and reconstruction process. Numerical validations are performed on plate-like structures for various damage and boundary scenarios. Validations show that the proposed method is accurate and effective in the damage detection for the two-dimensional structures.

키워드

과제정보

연구 과제 주관 기관 : National Natural Science Foundation of China

참고문헌

  1. Abdel Wahab, M.M. (2001), "Effect of modal curvatures on damage detection using model updating", Mech. Syst. Signal Pr., 15(2), 439-445. https://doi.org/10.1006/mssp.2000.1340
  2. Cao, M., Radzienski, M., Xu, W. and Ostachowicz, W. (2014), "Identification of multiple damage in beams based on robust curvature mode shapes", Mech. Syst. Signal Pr., 46(2), 468-480. https://doi.org/10.1016/j.ymssp.2014.01.004
  3. Cao, M., Xu, W., Ostachowicz, W. and Su, Z. (2014), "Damage identification for beams in noisy conditions based on Teager energy operator-wavelet transform modal curvature", J. Sound Vib., 333(6), 1543-1553. https://doi.org/10.1016/j.jsv.2013.11.003
  4. Cao, M., Ye, L., Zhou, L., Su, Z. and Bai, R. (2011), "Sensitivity of fundamental mode shape and static deflection for damage identification in cantilever beams", Mech. Syst. Signal Pr., 25(2), 630-643. https://doi.org/10.1016/j.ymssp.2010.06.011
  5. Deraemaeker, A., Preumont, A., Reynders, E., De Roeck, G., Kullaa, J., Lamsa, V., Worden, K., Manson, G., Barthorpe, R., Papatheou, E., Kudela, P. Malinowski, P., Ostachowicz, W. and Wandowski, T. (2010), "Vibration-based structural health monitoring using large sensor networks", Smart Struct. Syst., 6(3), 335-347. https://doi.org/10.12989/sss.2010.6.3.335
  6. Galvanetto, U. and Violaris, G. (2007), "Numerical investigation of a new damage detection method based on proper orthogonal decomposition", Mech. Syst. Signal Pr., 21(3), 1346-1361. https://doi.org/10.1016/j.ymssp.2005.12.007
  7. Gillich, G.R., Magd Abdel Wahab, ZI Praisach, and JL Ntakpe. 2014. "The influence of transversal crack geometry on the frequency changes of beams", Proceedings of the International Conference on Noise and Vibration Engineering (ISMA), 485-498.
  8. Gillich, G.R., Praisach, Z.I., Abdel Wahab, M. and Vasile, O. (2014), "Localization of transversal cracks in sandwich beams and evaluation of their severity", J. Shock Vib.
  9. Ji, F., Bao, Y., Zhou, Y., Du, F., Zhu, H., Zhao, S., Li, G., Zhu, X. and Ding, S. (2019), "Investigation on performance and implementation of Tesla turbine in engine waste heat recovery", Energ. Convers. Manage., 179, 326-338. https://doi.org/10.1016/j.enconman.2018.10.071
  10. Jiang, Y.Y., Xiang, J.W., Li, B., Chen, X.F. and Lin, L.Q. (2017), "A hybrid multiple damages detection method for plate structures", Science China Technol. Sci., 60(5), 726-736. https://doi.org/10.1007/s11431-016-9002-0
  11. Katunin, A. (2010), "Construction of high-order B-spline wavelets and their decomposition relations for faults detection and localization in composite beams", Acta Mechanica et Automatica.
  12. Katunin, A. (2015a), Diagnostics of composite structures using wavelets (Radom: Gliwice, Poland).
  13. Katunin, A. (2015b), "Nondestructive damage assessment of composite structures based on wavelet analysis of modal curvatures: State-of-the-art review and description of wavelet-based damage assessment benchmark", J. Shock Vib., 501, 735219.
  14. Katunin, A. and Przystalka, P. (2014), "Damage assessment in composite plates using fractional wavelet transform of modal shapes with optimized selection of spatial wavelets", Eng. Appl. Artif. Intel., 30, 73-85. https://doi.org/10.1016/j.engappai.2014.01.003
  15. Khatir, S., Belaidi, I., Serra, R., Magd A.W. and Khatir, T. (2016), "Damage detection and localization in composite beam structures based on vibration analysis", Mechanics, 21(6), 472-479.
  16. Liu, C., Harley, J.B., Berges, M., Greve, D.W. and Oppenheim, I.J. (2015), "Robust ultrasonic damage detection under complex environmental conditions using singular value decomposition", Ultrasonics, 58, 75-86. https://doi.org/10.1016/j.ultras.2014.12.005
  17. Liu, Zhiwen, Zhengjia He, Wei Guo, and Zhangchun Tang. (2016), "A hybrid fault diagnosis method based on second generation wavelet de-noising and local mean decomposition for rotating machinery", ISA transactions.
  18. Miao, X.T., Ye, L., Li, F.C., Sun, X.W., Peng, H.K., Lu, Y. and Meng, G. (2012), "A split spectrum processing of noisecontaminated wave signals for damage identification", Smart Struct. Syst., 10(3), 253-269. https://doi.org/10.12989/sss.2012.10.3.253
  19. Qiao, P.Z. and Cao, M.S. (2008), "Waveform fractal dimension for mode shape-based damage identification of beam-type structures", Int. J. Solids Struct., 45(22-23), 5946-5961. https://doi.org/10.1016/j.ijsolstr.2008.07.006
  20. Qiao, P.Z., Lu, K. and Lestari, W. (2008), "A combined static/dynamic technique for damage detection of laminated composite plates", Exp. Mech., 48(1), 17-35. https://doi.org/10.1007/s11340-007-9058-4
  21. Radzienski, M., Krawczuk, M. and Palacz, M. (2011), "Improvement of damage detection methods based on experimental modal parameters", Mech. Syst. Signal Pr., 25(6), 2169-2190. https://doi.org/10.1016/j.ymssp.2011.01.007
  22. Ruotolo, R. and Surace, C. (1999), "Using SVD to detect damage in structures with different operational conditions", J. Sound Vib., 226(3), 425-439. https://doi.org/10.1006/jsvi.1999.2305
  23. Soman, R N., Onoufriou, T., Kyriakides, M.A., Votsis, R.A. and Chrysostomou, C.Z. (2014), "Multi-type, multi-sensor placement optimization for structural health monitoring of long span bridges", Smart Struct. Syst., 14(1), 55-70. https://doi.org/10.12989/sss.2014.14.1.055
  24. Vanlanduit, S., Parloo, E., Cauberghe, B., Guillaume, P. and Verboven, P. (2005), "A robust singular value decomposition for damage detection under changing operating conditions and structural uncertainties", J. Sound Vib., 284(3-5), 1033-1050. https://doi.org/10.1016/j.jsv.2004.07.016
  25. Xiang, J., Matsumoto, T., Long, J., Wang Y. and Jiang, Z. (2012), "A simple method to detect cracks in beam-like structures", Smart Struct. Syst., 9(4), 335-353. https://doi.org/10.12989/sss.2012.9.4.335
  26. Xiang, J.W. and Liang, M. (2012), "Wavelet-based detection of beam cracks using modal shape and frequency measurements", Comput. - Aided Civil Infrastruct. Eng., 27(6), 439-454. https://doi.org/10.1111/j.1467-8667.2012.00760.x
  27. Xiang, J., Nackenhorst, U., Wang, Y., Jiang, Y., Gao, H. and He, Y. (2014), "A new method to detect cracks in plate-like structures with though-thickness cracks", Smart Struct. Syst., 14(3), 397-418. https://doi.org/10.12989/sss.2014.14.3.397
  28. Xu, W., Cao, M., Ostachowicz, W., Radzienski, M. and Xia, N. (2015), "Two-dimensional curvature mode shape method based on wavelets and Teager energy for damage detection in plates", J. Sound Vib., 347, 266-278. https://doi.org/10.1016/j.jsv.2015.02.038
  29. Yang, Z. Chen, X., Tian, S. and He, Z. (2012), "Multiple damages detection in beam based approximate waveform capacity dimension", Struct. Eng. Mech., 41(5), 663-673. https://doi.org/10.12989/sem.2012.41.5.663
  30. Yang, Z.B., Chen, X.F., Xie, Y., Miao, H.H., Gao, J.J. and Qi, K.Z. (2016), "Hybrid two-step method of damage detection for platelike structures", Struct. Control Health Monit., 23(2), 267-285. https://doi.org/10.1002/stc.1769
  31. Yang, Z.B., Radzienski, M., Kudela, P. and Ostachowicz, W. (2016a), "Scale-wavenumber domain filtering method for curvature modal damage detection", Compos. Struct,, 154, 396-409. https://doi.org/10.1016/j.compstruct.2016.07.074
  32. Yang, Z.B., Radzienski, M., Kudela, P. and Ostachowicz, W. (2016b), "Two-dimensional modal curvature estimation via Fourier spectral method for damage detection", Compos. Struct., 148, 155-167. https://doi.org/10.1016/j.compstruct.2016.04.001
  33. Yang, Z.B., Chen, X.F., Xie, Y. and Zhang, X.W. (2016), "The hybrid multivariate analysis method for damage detection", Struct. Control Health Monit., 23, 123-143. https://doi.org/10.1002/stc.1758
  34. Yang, Z.B., Chen, X.F., Jiang, Y. and He, Z. (2014), "Generalised local entropy analysis for crack detection in beam-like structures", Nondestruct. Test. Eval., 29(2), 133-153. https://doi.org/10.1080/10589759.2014.904312
  35. Yu, L. and Giurgiutiu,V. (2005), "Advanced signal processing for enhanced damage detection with piezoelectric wafer active sensors", Smart Struct. Syst., 1(2), 185-215. https://doi.org/10.12989/sss.2005.1.2.185
  36. Yun, G.J., Ogorzalek, K.A., Dyke, S.J. and Song, W. (2009), "A two-stage damage detection approach based on subset selection and genetic algorithms", Smart Struct. Syst., 5(1), 1-21. https://doi.org/10.12989/sss.2009.5.1.001
  37. Zhou, Y.L., Maia, N.M.M., Sampaio, R. and Wahab, M.A. (2016), "Structural damage detection using transmissibility together with hierarchical clustering analysis and similarity measure", Struct. Health Monit., 1475921716680849. https://doi.org/10.1177/1475921716680849
  38. Zhou, Y.L. and Wahab, M.A. (2016), "Rapid early damage detection using transmissibility with distance measure analysis under unknown excitation in long-term health monitoring", J. Vibroeng., 18(7), 4491-99. https://doi.org/10.21595/jve.2016.17226
  39. Zhou, Y.L., Maia, N.M.M. and Wahab, M.A. (2016), "Damage detection using transmissibility compressed by principal component analysis enhanced with distance measure", J. Vib. Control, 1077546316674544. https://doi.org/10.1177/1077546316674544