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FRF-based structural parameters estimation using strain data: sensitivity equation, measurement and excitation selection. (English) Zbl 1409.74039

Summary: In this paper, a structural model updating technique is presented using frequency domain representation of incomplete strain data to identify the location and severity of structural damages. The most important challenges of model updating methods such as selection of excitation, measurement locations and interested frequency ranges are addressed. Distribution of strain energy in all structural elements and norms of the derived sensitivity equation are utilized for the selection of measurement and excitation locations. The important effect of different level of noise in measurement data and modelling error on the accuracy and robustness of the proposed method are investigated. A bowstring truss and a two-storey single-bay frame are used to evaluate the numerical ability of proposed method. The results prove the potentials of the proposed method in identifying the location and severity of damage in the presence of different errors.

MSC:

74R05 Brittle damage
74G25 Global existence of solutions for equilibrium problems in solid mechanics (MSC2010)
65N21 Numerical methods for inverse problems for boundary value problems involving PDEs
Full Text: DOI

References:

[1] Doebling SW, Farrar CR, Prime MB. Damage identification and health monitoring of structural and mechanical systems from changes in their vibration characteristics: a literature review. Los Alamos (NM): Los Alamos National Laboratory; 1996.10.2172/249299
[2] Yan YJ, Cheng L, Wu ZY, et al. Development in vibration-based structural damage detection technique. Mech Syst Signal Process. 2007;21(5):2198-2211.10.1016/j.ymssp.2006.10.002
[3] Bakhtiari-Nejad F, Rahai A, Esfandiari A. A structural damage detection method using static noisy data. Eng Struct. 2005;27(12):1784-1793.10.1016/j.engstruct.2005.04.019
[4] Sanayei M, Saletnik MJG. Parameter estimation of structures from static strain measurements. J. Struct Eng. 1996;122(5):555-562.10.1061/(ASCE)0733-9445(1996)122:5(555)
[5] Viola E, Bocchini P. Non-destructive parametric system identification and damage detection in truss structures by static tests. Struct Infrastruct E. 2013;9(5):384-402.10.1080/15732479.2011.560164
[6] Esfandiari A, Bakhtiari-Nejad F, Rahai A. Theoretical and experimental structural damage diagnosis method using natural frequencies through an improved sensitivity equation. Int Mech Sci. 2013;70:79-89.10.1016/j.ijmecsci.2013.02.006
[7] Seyedpoor SM, Shahbandeh S, Yazdanpanah O. An efficient method for structural damage detection using a differential evolution algorithm-based optimisation approach. Civil Eng Environ Syst. 2015;32(3):230-250.10.1080/10286608.2015.1046051
[8] Xiang Z, Wang L, Zhou M. Suppressing damage identification errors from selected natural frequencies and mode shape points. Inverse Prob Sci Eng. 2012;20(7):871-890.10.1080/17415977.2011.589902
[9] Rahai A, Bakhtiari-Nejad F, Esfandiari A. Damage assessment of structure using incomplete measured mode shapes. Struct Control Health Monit. 2007;14(5):808-829.10.1002/(ISSN)1545-2263
[10] Wang S. Model updating and parameters estimation incorporating flexible joints and boundary conditions. Inverse Probl Sci Eng. 2014;22(5):727-745.10.1080/17415977.2013.823413 · Zbl 1329.70056
[11] Esfandiari A. Structural model updating using incomplete transfer function of strain data. J Sound Vibr. 2014;333(16):3657-3670.10.1016/j.jsv.2014.03.015
[12] Mohan SC, Maiti DK, Maity D. Structural damage assessment using FRF employing particle swarm optimization. Appl Math Comput. 2013;219(20):10387-10400. · Zbl 1293.74365
[13] Vinayak HK, Kumar A, Agarwal P, et al. Neural network-based damage detection from transfer function changes. J Earthquake Eng. 2010;14(5):771-787.10.1080/13632460903414535
[14] Ziaei-rad S, Imregun M. On the use of regularisation techniques for finite element model updating. Inverse Probl Sci Eng. 1999;7(5):471-503.
[15] Seyedpoor SM, Montazer M. A damage identification method for truss structures using a flexibility based damage probability index and differential evolution algorithm. Inverse Probl Sci Eng. 2015;24(8):1303-1322. · Zbl 1348.74293
[16] Sazonov ES, Klinkhachorn P, Halabe UB, et al. Non-baseline detection of small damages from changes in strain energy mode shapes. NDT&E. 2002;18(3-4):91-107.
[17] Wei ZT, Liu JK, Lu ZR. Damage identification in plates based on the ratio of modal strain energy change and sensitivity analysis. Inverse Probl Sci Eng. 2016;24(2):265-283.10.1080/17415977.2015.1017489
[18] Natke HG, Lallement G, Cottin N, et al. Properties of various residuals within updating of mathematical models. Inverse Probl Sci Eng. 1995;1(4):329-348.10.1080/174159795088027589
[19] Adewuyi AP, Wu ZS. Modal macro-strain flexibility methods for damage localization in flexural structures using long-gage FBG sensors. Struct Control Health Monit. 2010;18(10):341-360.
[20] Yao GC, Chang KC, Lee GC. Damage diagnosis of steel frames using vibrational signature analysis. ASCE: J Eng Mech. 1992;118:1949-1961.10.1061/(ASCE)0733-9399(1992)118:9(1949)
[21] Zonta D, Lanaro A, Zanon P. A strain flexibility-based approach to damage location. Key Eng Mater. 2003;245-246:87-96.10.4028/www.scientific.net/KEM.245-246
[22] Lin RM, Zhu J. Model updating of damped structures using FRF data. Mech Syst Signal Process. 2006;20(8):2200-2218.10.1016/j.ymssp.2006.05.008
[23] Gang X, Chai S, Allemang RJ, et al. A new iterative model updating method using incomplete frequency response function data. J Sound Vibr. 2014;333:2443-2453.10.1016/j.jsv.2013.12.008
[24] Adewuyi AP, Wu ZS. Vibration-based structural health monitoring technique using statistical features from strain measurements. ARPN J Eng Appl Sci. 2009;4(3):38-47.
[25] Vari LM, Heyns PS. Strain modal testing a critical appraisal. R&D J. 1997;13:83-90.
[26] Trigueroa RC, Murugan S, Gallego R, et al. Robustness of optimal sensor placement under parametric uncertainty. Mech Syst Signal Process. 2013;41:268-287.10.1016/j.ymssp.2013.06.022
[27] Papadimitriou C. Pareto optimal sensor locations for structural identification. Comput Methods Appl Mech Eng. 2005;194:1655-1673.10.1016/j.cma.2004.06.043 · Zbl 1093.74022
[28] Doebling SW, Peterson LD, Alvin KF. Experimental determination of local structural stiffness by disassembly of measured flexibility matrices. J Vibr Acoust. 1998;120:949-957.10.1115/1.2893925
[29] Pereira JA, Heylen W, Lammens S, et al. Influence of the number of frequency points and resonance frequencies on model updating techniques for health condition monitoring and damage detection of flexible structure. Proceedings of the 13th International Modal Analysis Conference, Nashville, Tennessee; 1995. p. 1273-1281.
[30] Fei Q, Jiang D, Zhang D, et al. Finite element model updating using base excitation response function. J Vibroeng. 2013;15(1):9-22.
[31] Ren WX, De Roeck G. Structural damage identification using modal data. I: simulation verification. J Struct Eng. 2002;128:87-95.10.1061/(ASCE)0733-9445(2002)128:1(87)
[32] Sestieri A, D’Ambrogio W. Why be modal: how to avoid the use of modes in the modification of vibrating systems. Int J Anal Exp Modal Anal. 1989;4:25-30.
[33] Sanayei M, Esfandiari A, Rahai A, et al. Quasi-linear sensitivity-based structural model updating using experimental transfer functions. Struct Health Monit. 2012;1(1):1-15.
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