Skip to main content
SpringerLink
Log in

Fuzzy logic for crack detection in cantilever-laminated composite beam using frequency response

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

Abstract

The current research study utilized fuzzy logic to detect transverse cracks in industry-driven woven glass fiber/epoxy composite beam. Laminated composites, with their increasing prevalence in engineering applications, demand reliable methods for detecting structural defects such as cracks. Traditional crack detection approaches often face challenges to accommodate the inherent complexities of composite materials. The motivation behind employing fuzzy logic for crack detection in cantilever-laminated composite beams using frequency response stems from the imperative need for robust and adaptive structural health monitoring techniques. Considering a cantilever boundary condition for the glass/epoxy beam, the free vibration frequencies were numerically evaluated on ABAQUS platform. The frequency data were simulated as input data in a Mamdani fuzzy inference system (FIS) developed in MATLAB, using various standalone fuzzy sets (Triangular, Trapezoidal, Gaussian and Gbell). The output of the FIS scale results to determine the crack severity in terms of location and depth. Using a fast Fourier transform analyzer, experimental validation is conducted for cantilever composite beams with controlled damage scenarios to assess the effectiveness and accuracy of the developed fuzzy logic-based crack detection methodology. The results showcase the system’s potential to provide crack detection in composite structures, contributing to the advancement of structural health monitoring techniques. The integration of fuzzy logic in crack detection presents a promising avenue for enhancing the reliability of damage assessment in composite materials, offering valuable insights for the broader field of structural health monitoring.

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
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19
Fig. 20
Fig. 21
Fig. 22

Similar content being viewed by others

References

  1. Dimarogonas AD (1996) Vibration of cracked structures: a state of the art review. Eng Fract Mech 55(5):831–857

    Google Scholar 

  2. Montalvao D, Maia NMM, Ribeiro AMR (2006) A review of vibration-based structural health monitoring with special emphasis on composite materials. Shock Vib Digest 38(4):295–324

    Google Scholar 

  3. Teotia M, Soni RK (2018) Applications of finite element modelling in failure analysis of laminated glass composites: a review. Eng Fail Anal 94:412–437

    Google Scholar 

  4. Gomes GF, Mendéz YAD, Alexandrino PDSL, da Cunha SS, Ancelotti AC Jr (2018) The use of intelligent computational tools for damage detection and identification with an emphasis on composites–a review. Compos Struct 196:44–54

    Google Scholar 

  5. Mishra UK, Sahu SK (2013) On parametric response characteristics of beams with multiple transverse cracks. Int J Acoust Vib 18(4):155–162

    Google Scholar 

  6. Pala Y, Beycimen S, Kahya C (2020) Damped vibration analysis of cracked Timoshenko beams with restrained end conditions. J Braz Soc Mech Sci Eng 42:1–6

    Google Scholar 

  7. Kiss LP, Szeidl G, Messaoudi A (2022) Vibration of an axially loaded heterogeneous fixed–fixed beam with an intermediate roller support. J Braz Soc Mech Sci Eng 44(10):461

    Google Scholar 

  8. Maiti DK, Sinha PK (1994) Bending and free vibration analysis of shear deformable laminated composite beams by finite element method. Compos Struct 29(4):421–431

    Google Scholar 

  9. Gunda JB, Gupta RK, Janardhan GR, Rao GV (2011) Large amplitude vibration analysis of composite beams: simple closed-form solutions. Compos Struct 93(2):870–879

    Google Scholar 

  10. Karkon M (2020) A new three-node element for bending, free vibration and buckling analysis of composite laminated beams based on FSDT theory. J Braz Soc Mech Sci Eng 42(10):543

    Google Scholar 

  11. Rath MK, Sahu SK (2012) Vibration of woven fiber laminated composite plates in hygrothermal environment. J Vib Control 18(13):1957–1970

    Google Scholar 

  12. Majidi MH, Azadi M, Fahham H (2020) Vibration analysis of cantilever FG-CNTRC trapezoidal plates. J Braz Soc Mech Sci Eng 42:1–8

    Google Scholar 

  13. Hong CC (2020) Free vibration frequency of thick FGM spherical shells with simply homogeneous equation by using TSDT. J Braz Soc Mech Sci Eng 42(4):159

    Google Scholar 

  14. Rout M, Hota SS (2023) Nonlinear free flexural vibration of sandwich hypar shell in thermal environment. J Braz Soc Mech Sci Eng 45(6):313

    Google Scholar 

  15. Nikpur K, Dimarogonas A (1988) Local compliance of composite cracked bodies. Compos Sci Technol 32(3):209–223

    Google Scholar 

  16. Krawczuk M, Ostachowicz WM (1995) Modelling and vibration analysis of a cantilever composite beam with a transverse open crack. J Sound Vib 183(1):69–89

    Google Scholar 

  17. Douka E, Loutridis S, Trochidis A (2003) Crack identification in beams using wavelet analysis. Int J Solids Struct 40(13–14):3557–3569

    Google Scholar 

  18. Bovsunovsky A, Surace C (2015) Non-linearities in the vibrations of elastic structures with a closing crack: a state of the art review. Mech Syst Signal Proces 62:129–148

    Google Scholar 

  19. Kisa M (2004) Free vibration analysis of a cantilever composite beam with multiple cracks. Compos Sci Technol 64(9):1391–1402

    Google Scholar 

  20. Kumar DS, Mahapatra DR, Gopalakrishnan S (2004) A spectral finite element for wave propagation and structural diagnostic analysis of composite beam with transverse crack. Finite Elem Anal Des 40(13–14):1729–1751

    Google Scholar 

  21. Kahya V, Karaca S, Okur FY, Altunışık AC, Aslan M (2019) Free vibrations of laminated composite beams with multiple edge cracks: numerical model and experimental validation. Int J Mech Sci 159:30–42

    Google Scholar 

  22. Das P, Sahu SK (2020) Experimental and numerical study on free vibration of cracked woven fiber glass/epoxy composite beam. Mater Today: Proc 33:5505–5510

    Google Scholar 

  23. Sahu SK, Das P (2020) Experimental and numerical studies on vibration of laminated composite beam with transverse multiple cracks. Mech Syst Signal Process 135:106398

    Google Scholar 

  24. Patil DP, Maiti SK (2003) Detection of multiple cracks using frequency measurements. Eng Fract Mech 70(12):1553–1572

    Google Scholar 

  25. Hakim SJS, Abdul Razak H, Ravanfar SA (2015) Fault diagnosis on beam-like structures from modal parameters using artificial neural networks. Measurement 76:45–61

    Google Scholar 

  26. Bovsunovsky AP (2019) Efficiency of crack detection based on damping characteristics. Eng Fract Mech 214:464–473

    Google Scholar 

  27. Kessler SS, Spearing SM, Atalla MJ, Cesnik CE, Soutis C (2002) Damage detection in composite materials using frequency response methods. Compos Part B: Eng 33(1):87–95

    Google Scholar 

  28. Lu ZR, Law SS (2009) Dynamic condition assessment of a cracked beam with the composite element model. Mech Syst Signal Process 23(2):415–431

    Google Scholar 

  29. Pawar PM (2011) On the behaviour of thin-walled composite beams with stochastic properties under matrix cracking damage. Thin-Walled Struct 49(9):1123–1131

    Google Scholar 

  30. Samir K, Brahim B, Capozucca R, Wahab MA (2018) Damage detection in CFRP composite beams based on vibration analysis using proper orthogonal decomposition method with radial basis functions and cuckoo search algorithm. Compos Struct 187:344–353

    Google Scholar 

  31. Sha G, Radzienski M, Soman R, Cao M, Ostachowicz W, Xu W (2020) Multiple damage detection in laminated composite beams by data fusion of Teager energy operator-wavelet transform mode shapes. Compos Struct 235:111798

    Google Scholar 

  32. Ramu SA, Johnson VT (1995) Damage assessment of composite structures—a fuzzy logic integrated neural network approach. Comput Struct 57(3):491–502

    Google Scholar 

  33. Beena P, Ganguli R (2011) Structural damage detection using fuzzy cognitive maps and Hebbian learning. Appl Soft Comput 11(1):1014–1020

    Google Scholar 

  34. Petrović DV, Tanasijević M, Stojadinović S, Ivaz J, Stojković P (2020) Fuzzy expert analysis of the severity of mining machinery failure. Appl Soft Comput 94:106459

    Google Scholar 

  35. Sawyer JP, Rao SS (2000) Structural damage detection and identification using fuzzy logic. AIAA J 38(12):2328–2335

    Google Scholar 

  36. Ganguli R (2002) Health monitoring of a helicopter rotor in forward flight using fuzzy logic. AIAA J 40(12):2373–2381

    Google Scholar 

  37. Pawar PM, Ganguli R (2005) Matrix crack detection in thin-walled composite beam using genetic fuzzy system. J Intell Mater Syst Struct 16(5):395–409

    Google Scholar 

  38. Pawar PM, Ganguli R (2007) Genetic fuzzy system for online structural health monitoring of composite helicopter rotor blades. Mech Syst Signal Process 21(5):2212–2236

    Google Scholar 

  39. Saridakis KM, Chasalevris AC, Papadopoulos CA, Dentsoras AJ (2008) Applying neural networks, genetic algorithms and fuzzy logic for the identification of cracks in shafts by using coupled response measurements. Comput Struct 86(11–12):1318–1338

    Google Scholar 

  40. Das HC, Parhi DR (2009) Detection of the crack in cantilever structures using fuzzy Gaussian inference technique. AIAA J 47(1):105–115

    Google Scholar 

  41. Hadi NH, Ashoor HS (2011) Damage detection and location for in and out-of-plane curved beams using fuzzy logic based on frequency difference. J Eng 4(17):948–966

    Google Scholar 

  42. Sahu S, Kumar PB, Parhi DR (2017) Design and development of 3-stage determination of damage location using Mamdani-adaptive genetic-Sugeno model. J Theor Appl Mech 55(4):1325–1339

    Google Scholar 

  43. Das P, Muni MK, Sahu SK (2021) On crack detection in a laminated glass/epoxy composite beam under free vibration with fuzzy logic aid. Int J Struct Stab Dyn 21(13):2150176

    Google Scholar 

  44. Tada H, Paris PC, Irwin GR (2000) The stress analysis of cracks handbook. ASME Press, New York

    Google Scholar 

  45. Van Viet P, Van Hai P (2017) Picture inference system: a new fuzzy inference system on picture fuzzy set. Appl Intell 46(3):652–669

    Google Scholar 

  46. Zadeh LA (1965) Fuzzy sets. Inf Control 8(3):338–353

    Google Scholar 

  47. Muni MK, Parhi DR, Kumar PB, Kumar S (2020) Motion control of multiple humanoids using a hybridized prim’s algorithm-fuzzy controller. Soft Comput 25:1159–1180

    Google Scholar 

  48. Parhi DR (2005) Navigation of mobile robots using a fuzzy logic controller. J Intell Robot Syst 42(3):253–273

    Google Scholar 

  49. Kumar PB, Muni MK, Parhi DR (2020) Navigational analysis of multiple humanoids using a hybrid regression-fuzzy logic control approach in complex terrains. Appl Soft Comput 89:106088

    Google Scholar 

  50. Tolcha MA, Ademe GA, Jelila YD, Jiru MG, Lemu HG (2022) Analyzing the effect of vibration on crack growth on shaft using fuzzy logic. Meccanica 57(12):2929–2946

    MathSciNet  Google Scholar 

  51. ASTM Standard: D3039/D3039M-08 (2008) Standard test method for tensile properties of polymer matrix composite materials

  52. Jones RM (2018) Mechanics of composite materials. CRC Press

    Google Scholar 

  53. Panda HS, Sahu SK, Parhi PK (2015) Hygrothermal response on parametric instability of delaminated bidirectional composite flat panels. Eur J Mech A Solids 53:268–281

    MathSciNet  Google Scholar 

  54. Sreekanth TG, Senthilkumar M, Reddy SM (2021) Vibration-based delamination evaluation in GFRP composite beams using ANN. Polym Polym Compos 29(9):S317–S324

    Google Scholar 

  55. López-Santos F, May-Pat A, Ledesma-Orozco ER, Hernández-Pérez A, Avilés F (2021) Measurement of in-plane and out-of-plane elastic properties of woven fabric composites using digital image correlation. J Compos Mater 55(9):1231–1246

    Google Scholar 

  56. Talekar N, Kotambkar M (2020) Free vibration analysis of generally layered composite beam with various lay-up and boundary conditions. Mater Today: Proc 21:1283–1292

    Google Scholar 

Download references

Funding

The author(s) received no financial support for the research, authorship and/or publication of this article.

Author information

Authors and Affiliations

  1. Department of Civil Engineering, Institute of Technical Education and Research, Siksha ‘O’ Anusandhan Deemed to be University, Bhubaneswar, Odisha, India

    P. Das, N. Pradhan & B. Basa

  2. Department of Mechanical Engineering, Indira Gandhi Institute of Technology, Sarang, Dhenkanal, Odisha, India

    M. K. Muni

  3. Department of Civil Engineering, National Institute of Technology Rourkela, Rourkela, Odisha, India

    S. K. Sahu

Authors
  1. P. Das
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. K. Muni
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. N. Pradhan
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. B. Basa
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. S. K. Sahu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to P. Das.

Ethics declarations

Conflict of interest

The author(s) declared no potential conflicts of interest with respect to the research, authorship and/or publication of this article.

Additional information

Technical Editor: Samuel da Silva.

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Das, P., Muni, M.K., Pradhan, N. et al. Fuzzy logic for crack detection in cantilever-laminated composite beam using frequency response. J Braz. Soc. Mech. Sci. Eng. 46, 250 (2024). https://doi.org/10.1007/s40430-024-04829-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s40430-024-04829-7

Keywords

Search

Navigation