Structural Damage Detection for Plates Using Flexibility Based Strain Energy Method

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Recent Advances in Civil Engineering (CTCS 2021)

Part of the book series: Lecture Notes in Civil Engineering ((LNCE,volume 256))

Abstract

Plates like structural elements are commonly found in many structural applications and may undergo injury or damages during its service life. Identification, characterization, and detection of damages at the early stages in a plate structure avoid the further growth of damages and prevent the structural failure. In this paper, the strain energy and flexibility matrix-based damage detection procedure is adopted to detect single as well multiple damages in a plate structure. Toward this, a 4-noded plate element is utilized to discretize the rectangular plate with 6° of freedom (dof) at every node. The flexibility matrix is calculated using the natural frequency and mode shape. This method detects the damage in the plate by an increase in flexibility matrix of the damaged one. The damage indicator is then computed by evaluating the changes in strain energy of a structural plate using the coefficients of the flexibility matrices. The modal parameters were extracted from the FE analysis software Abaqus. Nine illustrative examples with damages at various locations are induced by decreasing the modulus of elasticity at the specified elements in plate structure, in order to determine the effectiveness of the method. The numerical result shows that the adopted damage detection procedure can be able to locate the structural damages in plates with lower modes, and the magnitude of the evaluated damage index depends on the severity of the damage.

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References

  1. Zhong H, Yang M (2016) Damage detection for plate-like structures using generalized curvature mode shape method. J Civ Struct Health Monit 6(1):141–152

    Google Scholar 

  2. Nicknam A, Hosseini MH, Bagheri A (2011) Damage detection and denoising in two-dimensional structures using curvelet transform by wrap** method. Arch Appl Mech 81:1915–1924

    Article  MATH  Google Scholar 

  3. Navabian N, Bozorgnasab M, Taghipour R, Yazdanpanah O (2016) Damage identification in plate-like structure using mode shape derivatives. Arch Appl Mech 86:819–830

    Article  Google Scholar 

  4. Arun Kumar K, Mallikarjuna Reddy D (2016) Application of frequency response curvature method for damage detection in beam and plate like structures. IOP Conf Ser Mater Sci Eng 149:1–11

    Google Scholar 

  5. Hilmy I, Wahab MMA, Adesta EYT, Firdaus T (2015) Damage detection based on the natural frequency shifting of a clamped rectangular plate model. J Phys Conf Ser 628:1–7

    Google Scholar 

  6. Nasiri MR, Mahjoob MJ, Aghakasiri A (2011) Damage detection in a composite plate using modal analysis and artificial intelligence. Appl Compos Mater 18(6):513–520

    Article  Google Scholar 

  7. Vo-Duy T, Ho-Huu V, Dang-Trung H, Dinh-Cong D, Nguyen-Thoi T (2016) Damage detection in laminated composite plates using modal strain energy and improved differential Evolution Algorithm. Procedia Eng 142:181–188

    Google Scholar 

  8. Masoumi M, Ashory MR (2013) Damage identification in plate-type structures using 2-D spatial wavelet transform and flexibility-based methods. Int J Fract 183(2):259–266

    Article  Google Scholar 

  9. Dinh-Cong D, Vo-Duy T, Ho-Huu V, Dang-Trung H, Nguyen-Thoi T (2017) An efficient multi-stage optimization approach for damage detection in plate structures. Adv Eng Softw 112:76–87

    Article  Google Scholar 

  10. Zakian P, Nadi M, Tohidi M (2021) Finite cell method for detection of flaws in plate structures using dynamic responses. Structures 34:327–338

    Article  Google Scholar 

  11. Kazemi S, Fooladi A, Rahai AR (2010) Implementation of the modal flexibility variation to fault identification in thin plates. Actaastronautica 66(3–4):414–426

    Article  Google Scholar 

  12. Xu W, Cao M, Ostachowicz W, Radzieński M, **a 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

    Google Scholar 

  13. Wu D, Law SS (2004) Damage localization in plate structures from uniform load surface curvature. J Sound Vib 276(1–2):227–244

    Article  Google Scholar 

  14. Araujo dos Santos JV, Mota Soares CM, Mota Soares CA, Pina HLG (2000) Development of a numerical model for the damage identification on composite plate structures. Compos Struct 48(1–3):59–65

    Google Scholar 

  15. Rucka M, Wilde K (2006) Application of continuous wavelet transform in vibration-based damage detection method for beams and plates. J Sound Vib 297(3–5):536–550

    Article  Google Scholar 

  16. Cho DS, Vladimir N, Choi TM (2013) Approximate natural vibration analysis of rectangular plates with openings using assumed mode method. Int J Naval Archit Ocean Eng 5(3):478–491

    Google Scholar 

  17. Hossain N, Ahshan KHN, Hossain MZ, Islam MS (2015) Effect on natural frequency of a simply supported plate due to circular cutouts. In: 10th global engineering, science and technology conference, BIAM Foundation, Dhaka, Bangladesh

    Google Scholar 

  18. Xu YF, Zhu WD, Smith SA (2017) Non-model-based damage identification of plates using principal, mean and Gaussian curvature mode shapes. J Sound Vib 400(1):626–659

    Article  Google Scholar 

  19. Zima B, Rucka M (2016) Guided waves for monitoring of plate structures with linear cracks of variable length. Arch Civ Mech Eng 16(3):387–396

    Article  Google Scholar 

  20. Kwak MK, Han S (2007) Free vibration analysis of rectangular plate with a hole by means of independent coordinate coupling method. J Sound Vib 306(1–2):12–30

    Google Scholar 

  21. Chandrashekhar M, Ganguli R (2009) Structural damage detection using modal curvature and fuzzy logic. Struct Health Monit 8(4):267–282

    Google Scholar 

  22. Nobahari M, Seyedpoor SM (2013) An efficient method for structural damage localization based on the concepts of flexibility matrix and strain energy of a structure. Struct Eng Mech 46(2):231–244

    Article  Google Scholar 

  23. Montazer M, Seyedpoor SM (2014) A new flexibility-based damage index for damage detection of truss structures. Shock Vib 2014(2):1–12

    Google Scholar 

  24. Reynders E, De Roeck G (2010) A local flexibility method for vibration-based damage localization and quantification. J Sound Vib 329(12):2367–2383

    Article  Google Scholar 

  25. Pandey AK, Biswas M (1995) Experimental verification of flexibility difference method for locating the damage in structures. J Sound Vib 184(2):311–328

    Article  Google Scholar 

  26. Bernagozzi G, Ventura CE, Allahdadian S, Kaya Y, Landi L, Diotallevi PP (2020) Output-only damage diagnosis for plan-symmetric buildings with asymmetric damage using modal flexibility-based deflections. Eng Struct 207:1–27

    Google Scholar 

  27. Siddesha H, Hegde MN (2017) Structural damage detection in framed structures using under foundation settlement/rotation of bases. Tech Sci Press 12(1):17–41

    Google Scholar 

  28. Shih HW, Thambiratnam DP, Chan THT (2009) Vibration based structural damage detection in flexural members using multi-criteria approach. J Sound Vib 323(3–5):645–661

    Article  Google Scholar 

  29. Sung SH, Koo KY, Jung HJ (2014) Modal flexibility-based damage detection of cantilever beam-type structures using baseline modification. J Sound Vib 333(18):4123–4138

    Article  Google Scholar 

  30. Yang QW (2010) A new damage identification method based on structural flexibility disassembly. J Vib Control 17(7):1000–1008

    Article  MATH  Google Scholar 

  31. Li J, Wu B, Zeng QC, Lim CW (2010) A generalized flexibility matrix-based approach for structural damage detection. J Sound Vib 329(22):4583–4587

    Google Scholar 

  32. Weng S, Zhu H-P, **a Y, Mao L (2013) Damage identification by the eigen parameter decomposition of structural flexibility change. Mech Syst Sig Process 34(1–2):19–38

    Google Scholar 

  33. Grande E, Imbimbo M (2016) A multi-stage approach for damage detection in structural systems based on flexibility. Mech Syst Signal Process 76–77:455–475

    Article  Google Scholar 

  34. Zhang J, Xu JC, Guo SL, Wu ZS (2013) Flexibility-based structural damage detection with unknown mass for IASC-ASCE benchmark studies. Eng Struct 48:486–496

    Article  Google Scholar 

  35. Bernal D (2014) Damage localization and quantification form the image changes in flexibility. J Eng Mech 140(2):279–286

    Article  Google Scholar 

  36. Yang QW, Sun BX (2011) Structural damage identification based on best achievable flexibility change. Appl Math Model 35(10):5217–5224

    Article  MATH  Google Scholar 

  37. Kim BH, Joo HJ, Park T (2007) Damage evaluation of an axially loaded beam using modal flexibility. KSCE J Civ Eng 11(2):101–110

    Google Scholar 

  38. Zare Hosseinzadeh A, Ghodrati Amiri G, Seyed Razzaghi SA, Koo KY, Sung SH (2016) Structural damage detection using sparse sensor installation by optimization procedure based on the modal flexibility matrix. J Sound Vib 381:65–82

    Article  Google Scholar 

  39. Weng S, Zhu H-P, Li P-H, **a Y, Ye L (2016) Construction of orthogonal projector for the damage identification by measured sub structural flexibility. Measurement 88:441–455

    Article  Google Scholar 

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Correspondence to H. Siddesha .

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Darshan, B.U., Siddesha, H., Rajanna, T. (2023). Structural Damage Detection for Plates Using Flexibility Based Strain Energy Method. In: Nandagiri, L., Narasimhan, M.C., Marathe, S. (eds) Recent Advances in Civil Engineering. CTCS 2021. Lecture Notes in Civil Engineering, vol 256. Springer, Singapore. https://doi.org/10.1007/978-981-19-1862-9_18

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  • DOI: https://doi.org/10.1007/978-981-19-1862-9_18

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-19-1861-2

  • Online ISBN: 978-981-19-1862-9

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