Skip to main content
SpringerLink
Log in

Data-driven model identification of guided wave propagation in composite structures

  • Technical Paper
  • Published:
Journal of the Brazilian Society of Mechanical Sciences and Engineering Aims and scope Submit manuscript

Abstract

This paper shows the applicability of data-driven model identification to describe guided wave propagation in composite structures. The model identified can be useful to predict waveform or further conditions considering the dynamics of wave propagation in composites media, mainly when the geometry or boundary conditions are complex and make it very difficult to propose an analytical model. Thus, the main purpose of this paper is to use a simple autoregressive with exogenous terms model to fit the experimental data assuming different frequencies of excitation and the effect of temperature changes. An example using a composite plate is performed in this paper to show the steps and applicability. After these analyses, the results obtained demonstrate the practical benefits of the black-box model for modeling of guided wave propagation in complex composite structures for aeronautical applications.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13

Similar content being viewed by others

Notes

  1. Guided wave can be defined as an elastic wave generated that propagates confined by the boundaries of the structures. The term guided is due to the direction where the wave follows.

  2. Only PZT1 operates as an actuator, while others operate as sensors.

  3. When \(i=1\), it is the input signal, i.e., \(u=y_1\).

  4. \(n_a>n_b\) for online procedures in causal systems.

References

  1. Adams R, Cawley P (1988) A review of defect types and nondestructive testing techniques for composites and bonded joints. NDT Int 21(4):208–222. https://doi.org/10.1016/0308-9126(88)90333-1

    Article  Google Scholar 

  2. Aguirre LA (2004) Introdução à identificação de sistemas–Técnicas lineares e não-lineares aplicadas a sistemas reais, 1st edn. Editora UFMG, Belo Horizonte, MG, Brasil

  3. Cano WFR, Lopes PHO, Silva S (2016) Autoregressive models for damage prognosis in smart structures. In: Congresso Nacional de Engenharia Mecânica—CONEM 2016. ABCM, Fortaleza, CE

  4. da Silva S, Dias Junior M, Lopes Junior V (2008) Structural health monitoring in smart structures through time series analysis. Struct Health Monit 7(3):231–244. https://doi.org/10.1177/1475921708090561

    Article  Google Scholar 

  5. Dodson J, Inman D (2013) Thermal sensitivity of lamb waves for structural health monitoring applications. Ultrasonics 53(3):677–685. https://doi.org/10.1016/j.ultras.2012.10.007

    Article  Google Scholar 

  6. Dworakowski Z, Ambrozinski L, Stepinski T (2016) Multi-stage temperature compensation method for lamb wave measurements. J Sound Vib 382:328–339. https://doi.org/10.1016/j.jsv.2016.06.038

    Article  Google Scholar 

  7. Granja SCG (2015) Inspeção de materiais compósitos utilizando ondas acústicas guiadas. Engenharia elétrica, Universidade Estadual Paulista—UNESP

  8. Kim J, Kim K, Sohn H (2014) Subspace model identification of guided wave propagation in metallic plates. Smart Mater Struct 23(3):035,006. https://doi.org/10.1088/0964-1726/23/3/035006/meta

    Article  Google Scholar 

  9. Liu Y, Chattopadhyay A (2013) Low-velocity impact damage monitoring of a sandwich composite wing. J Intell Mater Syst Struct 24(17):2074–2083. https://doi.org/10.1177/1045389X12453964

    Article  Google Scholar 

  10. Ljung L (1998) System identification, 2nd edn. Prentice-Hall PTR, Upper Saddle River

    MATH  Google Scholar 

  11. Lu X, Soh CK, Avvari PV (2015) Lamb wave propagation in vibrating structures for effective health monitoring. https://doi.org/10.1117/12.2083931

  12. Pant S, Laliberte J, Martinez M, Rocha B, Ancrum D (2015) Effects of composite lamina properties on fundamental lamb wave mode dispersion characteristics. Compos Struct 124:236–252. https://doi.org/10.1016/j.compstruct.2015.01.017

    Article  Google Scholar 

  13. Pavlopoulou S, Worden K, Soutis C (2016) Novelty detection and dimension reduction via guided ultrasonic waves: damage monitoring of scarf repairs in composite laminates. J Intell Mater Syst Struct 27(4):549–566. https://doi.org/10.1177/1045389X15574937

    Article  Google Scholar 

  14. Rosa VAM (2016) Localização de danos em estruturas anisostrópicas com a utilização de ondas guiadas. Engenharia mecânica, Universidade Estadual Paulista—UNESP

  15. Shiki SB, da Silva S, Todd MD (2017) On the application of discrete-time Volterra series for the damage detection problem in initially nonlinear systems. Struct Health Monit 16(1):62–78. https://doi.org/10.1177/1475921716662142

    Article  Google Scholar 

  16. Sohn H, Dutta D, Yang JY, DeSimio M, Olson S, Swenson E (2011) Automated detection of delamination and disbond from wavefield images obtained using a scanning laser vibrometer. Smart Mater Struct 20(4):045,017

    Article  Google Scholar 

  17. Yuan FG (2016) Structural health monitoring (SHM) in aerospace structures. Woodhead Publishing, Sawston

    Google Scholar 

Download references

Acknowledgements

The author would like to thank the financial support provided by National Counsel of Technological and Scientific Development (CNPq) Grant Number 307520/2016-1, São Paulo Research Foundation (FAPESP) Grant Number 2017/15512-8 and the National Institute of Science and Technology in Smart Structures (INCT-EIE). Additionally, the author would like to thank the anonymous reviewers and the Associate Editor for their relevant comments and useful suggestions.

Author information

Authors and Affiliations

  1. Departamento de Engenharia Mecânica, Faculdade de Engenharia, UNESP - Universidade Estadual Paulista, Ilha Solteira, SP, Brasil

    Samuel da Silva

Authors
  1. Samuel da Silva
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Samuel da Silva.

Ethics declarations

Conflict of interest

The author declares that there is no conflict of interests regarding the publication of this article.

Additional information

Technical Editor: Pedro Manuel Calas Lopes Pacheco, D.Sc.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

da Silva, S. Data-driven model identification of guided wave propagation in composite structures. J Braz. Soc. Mech. Sci. Eng. 40, 543 (2018). https://doi.org/10.1007/s40430-018-1462-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s40430-018-1462-4

Keywords

Search

Navigation