Abstract
Structural health monitoring techniques aim at providing an automated solution to the threat of unsurveilled aging of structures that can have tremendous consequences in terms of fatalities, environmental pollution, and economic loss. To assess the state of damage of a complex structure, this paper proposes to fully characterize its behavior under multiple environmental and operational scenarios and compare new sensor measurements with the baseline behavior. However, the repeated simulations of a nonlinear, time-dependent structural model with high-dimensional input parameters represent a severe computational bottleneck for large-scale engineering assets. This chapter presents how to use efficient reduced-order modeling techniques to mitigate the computational effort of many-query simulations without jeopardizing the accuracy. To compare new sensor measurements with the natural behavior of synthetic solutions, the proposed methodology uses hierarchical semi-supervised learning algorithms on a small amount of extracted damage-sensitive features, thus allowing one to assess the state of damage in real time. Using the inexpensive simulations, one can also optimally place sensors to maximize the observability of discriminant features. The all-round methodology is validated on a numerical example.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Farrar CR, Worden K (2012) Structural health monitoring: a machine learning perspective. Wiley, New York
Wagg DJ, Worden K, Barthorpe RJ et al (2020) Digital twins: state-of-the-art and future directions for modeling and simulation in engineering dynamics applications. ASCE-ASME J Risk Uncertainty Eng Syst Part B: Mech Eng 6(3):030901
Lecer M, Allaire D, Willcox K (2015) Methodology for dynamic data-driven online flight capability estimation. AIAA J 53(10):3073–3087
Taddei T, Penn JD, Yano M, Patera AT (2018) Simulation-based classification; a model-order-reduction approach for structural health monitoring. Arch Comput Methods Eng 25(1):23–45
Bigoni C, Hesthaven JS (2020) Simulation-based anomaly detection and damage localization: an application to structural health monitoring. Comput Methods Appl Mech Eng 363:112896
Kapteyn MG, Knezevic DJ, Willcox K (2020) Toward predictive digital twins via component-based reduced-order models and interpretable machine learning. In: AIAA Scitech 2020 Forum, p 0418
Rosafalco L, Manzoni A, Mariani S et al (2020) Fully convolutional networks for structural health monitoring through multivariate time series classification. Adv Model Simul Eng Sci 7(1):1–31
Quarteroni A, Saleri F, Gervasio P (2006) Scientific computing with MATLAB and Octave. Springer, Berlin
Zienkiewicz OC, Taylor RL (2005) The finite element method for solid and structural mechanics. Elsevier, Amsterdam
Newmark NM (1959) A method of computation for structural dynamics. J Eng Mech Div 85(3):67–94
Hesthaven JS, Rozza G, Stamm B (2016) Certified reduced basis methods for parametrized partial differential equations. Springer, Berlin
Quarteroni A, Manzoni A, Negri F (2015) Reduced basis methods for partial differential equations: an introduction. Springer, Berlin
Benner P, Gugercin S, Willcox K (2015) A survey of projection-based model reduction methods for parametric dynamical systems. SIAM Rev 57(4):483–531
Haasdonk B, Ohlberger M (2008) Reduced basis method for finite volume approximations of parametrized linear evolution equations. ESAIM Math Model Numer Anal 42(2):277–302
Wang Q, Ripamonti N, Hesthaven JS (2020) Recurrent neural network closure of parametric POD-Galerkin reduced-order models based on the Mori-Zwanzig formalism. J Comput Phys 410:109402
Choi Y, Carlberg K (2019) Space-time least-squares Petrov-Galerkin projection for nonlinear model reduction. SIAM J Sci Comput 41(7):A26–A58
Bigoni C (2020) Numerical methods for structural anomaly detection using model order reduction and data-driven techniques. Ph.D. thesis No. 7734, EPFL
Barrault M, Maday Y, Nguyen NC, Patera AT (2004) An ‘empirical interpolation’ method: application to efficient reduced-basis discretization of partial differential equations. Comptes Rendus Mathematique 339(9):667–672
Chaturantabut S, Sorensen DC (2010) Nonlinear model reduction via discrete empirical interpolation. SIAM J Sci Comput 32(5):2737–2764
Kast M, Guo M, Hesthaven JS (2020) A non-intrusive multifidelity method for the reduced order modeling of nonlinear problems. Comput Methods Appl Mech Eng 364:112947
Zhang Z, Guo M, Hesthaven JS (2019) Model order reduction for large-scale structures with local nonlinearities. Comput Methods Appl Mech Eng 353:491–515
Guo M, Hesthaven JS (2019) Data-driven reduced order modeling for time-dependent problems. Comput Methods Appl Mech Eng 345:75–99
Guo M, Hesthaven JS (2018) Reduced order modeling for nonlinear structural analysis using Gaussian process regression. Comput Methods Appl Mech Eng 341:807–826
Long J, Buyukozturk O (2014) Automated structural damage detection using one-class machine learning. In: Catbas FN (ed) Dynamics of civil structures, vol 4. Springer, Berlin, pp 117–128
Schölkopf B, Williamson RC, Smola AJ et al (2020) Support vector method for novelty detection. Adv Neural Inf Process Syst 12:582–588
Cristianini N, Schölkopf B (2002) Support vector machines and kernel methods: the new generation of learning machines. AI Mag 23(3):31
Liu FT, Ting KM, Zhou Z-H (2008) Isolation forest. In: 2008 Eighth IEEE international conference on data mining. IEEE, pp 413–422
Breunig MM, Kriegel H-P, Ng RT et al. (2000) LOF: identifying density-based local outliers. In: ACM sigmod record, pp 93–104
Pedregosa et al (2011) Scikit-learn: machine learning in Python. J Mach Learn Res 12:2825–2830
Liu SW, Huang JH, Sung JC (2002) Detection of cracks using neural networks and computational mechanics. Comput Methods Appl Mech Eng 191(25–26):2831–2845
Japkowicz N, Myers C, Gluck M (1995) A novelty detection approach to classification. In: International conference on artificial intelligence, vol 1, pp 518–523
Marchi E, Vesperini F, Eyben F et al (2015) A novel approach for automatic acoustic novelty detection using a denoising autoencoder with bidirectional LSTM neural networks. In: 2015 IEEE international conference on acoustics, speech and signal processing (ICASSP). IEEE, pp 1996–2000
Pathirage CSN, Li J, Li L et al (2018) Application of deep autoencoder model for structural condition monitoring. J Syst Eng Electron 29(4):873–880
Ostachowicz W, Soman R, Malinowski P (2019) Optimization of sensor placement for structural health monitoring: a review. Struct Health Monit 18(3):963–988
Bigoni C, Zhang Z, Hesthaven JS (2020) Systematic sensor placement for structural anomaly detection in the absence of damaged states. Comput Methods Appl Mech Eng 371:113315
Quiñonero-Candela J, Rasmussen CE (2005) A unifying view of sparse approximate Gaussian process regression. J Mach Learn Res 6:1939–1959
Titsias M (2009) Variational learning of inducing variables in sparse Gaussian processes. In: Proceedings of the twelfth international conference on artificial intelligence and statistics, PMLR, vol 5, pp 567–574
Davis L (1991) Handbook of genetic algorithms. CumInCAD
Avendaño-Valencia LD, Chatzi EN, Tcherniak D (2020) Gaussian process models for mitigation of operational variability in the structural health monitoring of wind turbines. Mech Syst Sig Process 142:106686
Swartz RA, Flynn E, Backman D et al (2006) Active piezoelectric sensing for damage identification in honeycomb aluminum panels. In: Proceedings of 24th international modal analysis conference
Joe S, Kuo FY (2008) Constructing Sobol sequences with better two-dimensional projections. SIAM J Sci Comput 30(5):2635–2654
Sobol IM (2001) Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates. Math Comput Simul 55(1–3):271–280
Kucherenko S, Song S (2016) Derivative-based global sensitivity measures and their link with Sobol’sensitivity indices. In: Owen AB, Glynn PW (eds) Monte Carlo and Quasi-Monte Carlo Methods. Springer, Cham, pp 455–469
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Bigoni, C., Guo, M., Hesthaven, J.S. (2022). Predictive Monitoring of Large-Scale Engineering Assets Using Machine Learning Techniques and Reduced-Order Modeling. In: Cury, A., Ribeiro, D., Ubertini, F., Todd, M.D. (eds) Structural Health Monitoring Based on Data Science Techniques. Structural Integrity, vol 21. Springer, Cham. https://doi.org/10.1007/978-3-030-81716-9_9
Download citation
DOI: https://doi.org/10.1007/978-3-030-81716-9_9
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-81715-2
Online ISBN: 978-3-030-81716-9
eBook Packages: EngineeringEngineering (R0)