Double Damage Identification of Fully Free Beams Based on Curvature Modes

Abstract

Damage to the ship can threaten its overall strength, which in turn affects the structural safety of the hull and its subsequent use. Recognizing ongoing damage immediately and effectively is crucial. This paper examines a method based on curvature modes to identify ship damage. The effectiveness of this method is investigated when the ship experiences simultaneous and successive damage. The ship is simplified as a hull girder with free boundary conditions. Six different damage cases are analyzed through numerical simulations and experiments. Results show that the curvature mode index can effectively identify two separate damages when the ship is damaged in two locations simultaneously. Additionally, when the ship is subjected to continuous attacks, the curvature mode index can accurately detect new damage without being affected by existing damage. The proposed method offers a novel approach to double damage identification in hull girders, providing valuable insights for real-time ship safety assessment.

Keywords

Curvature mode / Hull damage / Double damage identification / Perturbation method / Modal test

References

[1] AhmadS, WaleedA, VirkUS, RiazMT, SharjeelA, AhmadN. Multiple damage detections in plate-like structures using curvature mode shapes and gapped smoothing method. Adv. Mech. Eng., 2019, 111687814019848921

[2] AltunisikAC, OkurFY, KahyaV. Modal parameter identification and vibration based damage detection of a multiple cracked cantilever beam. Eng. Fail. Anal., 2017, 79: 154-170

[3] CaoM, RadzienskiM, XuW, OstachowiczW. Identification of multiple damage in beams based on robust curvature mode shapes. Mech. Syst. Signal Process., 2014, 46: 468-480

[4] ChengH, GuoJ, ZhangY, LiW. Experimental research on damage identification of fully free beams based on modal shapes. Appl. Ocean Res., 2023, 139103689

[5] HuM, SunX, HeJ, ZhanY. Double crack damage identification of welded steel structure based on LAMB WAVES of S0 Mode. Materials, 2019, 12111800

[6] JaneliukstisR, RucevskisS, WesolowskiM, ChateA. Multiple damage identification in beam structure based on wavelet transform. Procedia Engineering, 2017, 172: 426-432

[7] KurokiH, KondouT, BonkobaraY, SakamotoY. Multiple damage identification analysis based on filtering theory for a framed structure by using low order natural frequency change. 14th Asia Pacific Vibration Conference (APVC) on Dynamics for Sustainable Engineering, 201114931502

[8] LeJ, LuL, WangY, SongH, XingX, HuangC. Damage identification of low-density material-filled sandwich panels with truss core based on vibration properties. Struct. Health Monit.- Int. J., 2019, 18: 1711-1721

[9] MaQ, SolisM. Multiple damage identification in beams from full-field digital photogrammetry. J. Eng. Mech., 2019, 14504019054

[10] OuyangQ, ZhouL, LiuX. Multiple damage identification and imaging in an aluminum plate using effective Lamb wave response automatic extraction technology. Conference on Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems, 98034J, 2016

[11] PandeyAK, BiswasM, SammanMM. Damage detection from changes in curvature mode shapes. J. Sound Vib., 1991, 145: 321-332

[12] WuC, LiuH, QinX, TanG, GuZ. Multi-stage method to identify structural damage using multiple damage location assurance criterion and an improved differential evolution algorithm. Int. J. Comput. Intell. Syst., 2017, 10: 1066-1081

[13] XieF, JiangZ, JiangH. A multi-damages identification method for cantilever beam based on mode shape curvatures and kriging surrogate model. 6th International Conference on Computer-Aided Design, Manufacturing, Modeling and Simulation (CDMMS), Busan, 030022, 2018

[14] YangZ, ChenX, TianS, HeZ. Multiple damages detection in beam based approximate waveform capacity dimension. Struct. Eng. Mech., 2012, 41: 663-673

[15] ZhangY, GuoJ, HaoN, YangJ, LiS. Damage detection on hull girder of ship subjected to explosion loading. Ocean Eng., 2020, 198107006

[16] ZhangY, GuoJ, JiaT, ChengH. Experimental research on frequency based damage identification of beams with free boundary condition. Ocean Eng., 2022, 266112901

[17] ZhangY, GuoJ, XieY, XuJ. Warship damage identification using mode curvature shapes method. Appl. Ocean Res., 2022, 129103396

[18] ZhangY, GuoJ, XuJ, LiS, YangJ. Study on the unequivalence between stiffness loss and strength loss of damaged hull girder. Ocean Eng., 2021, 229108986

[19] ZhangY, GuoJ, ZhouQ, WangS. Research on damage identification of hull girder based on Probabilistic Neural Network (PNN). Ocean Eng., 2021, 238109737

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Harbin Engineering University and Springer-Verlag GmbH Germany, part of Springer Nature