Smart tilted FBG sensors for strain monitoring in wooden beams
Abstract
his paper reports the design, fabrication, and experimental validation of smart tilted fiber Bragg grating (TFBG) sensors embedded within the internal structure of wooden beams for real-time strain and deflection monitoring. Pine and oak specimens were instrumented with five multiplexed FBGs distributed along the span and tested under a constant end load to capture the strain field during bending. To mitigate temperature-induced bias in the deflection analysis, a dedicated reference FBG was placed in a non-deflecting zone and used to compensate the individual temperature response of each sensing element. The optical transducers were encapsulated in epoxy-impregnated carbon fabric to ensure reliable strain transfer, mechanical protection, and long-term stability without compromising the host material. Wavelength-shift demodulation and in-situ calibration provided separate estimates of strain and temperature, enabling accurate reconstruction of the beam shape. The temperature-compensated measurements showed close agreement with Euler–Bernoulli beam predictions for both wood species, with correlation coefficients exceeding 0.87 across all trials. The sensing system exhibited repeatable behavior and low hysteresis, while the embedded configuration preserved the structural integrity and allowed unobtrusive installation. Overall, the results demonstrate that smart TFBG sensors are a practical and effective solution for embedded structural health monitoring of timber members, offering high accuracy, electromagnetic immunity, and seamless integration into load-bearing components. The approach is readily scalable to multi-sensor arrays and mixed materials, paving the way for continuous monitoring of civil and architectural wooden structures.
Copyright (c) 2025 Aliya Kalizhanova, Murat Kunelbayev, Ainur Kozbakova

This work is licensed under a Creative Commons Attribution 4.0 International License.
References
[1]Kinet D, Mégret P, Goossen K, et al. Fiber bragg grating sensors toward structural health monitoring in composite materials: challenges and solutions. Sensors. 2014; 14(4): 7394–7419. doi: 10.3390/s140407394
[2]Hong CY, Zhang YF, Zhang MX, et al. Application of FBG sensors for geotechnical health monitoring, a review of sensor design, implementation methods and packaging techniques. Sensors and Actuators A: Physical. 2016; 244: 184–197. doi: 10.1016/j.sna.2016.04.033
[3]Diaz CAR, Leal-Junior A, Marques C, et al. Optical fiber sensing for sub-millimeter liquid-level monitoring: a review. IEEE Sensors Journal. 2019; 19(17): 7179–7191. doi: 10.1109/JSEN.2019.2915031
[4]Broadway C, Min R, Leal-Junior AG, et al. Toward commercial polymer fiber bragg grating sensors: review and applications. Journal of Lightwave Technology. 2019; 37(11): 2605–2615. doi: 10.1109/JLT.2018.2885957
[5]Theodosiou A, Kalli K. Recent trends and advances of fibre Bragg grating sensors in CYTOP polymer optical fibres. Optical Fiber Technology. 2020; 54: 102079. doi: 10.1016/j.yofte.2019.102079
[6]Erdogan T. Fiber grating spectra. Journal of Lightwave Technology. 1997; 15(8): 1277–1294. doi: 10.1109/50.618322
[7]Lamberti A, Luyckx G, Van Paepegem W, et al. Detection, Localization and Quantification of Impact Events on a Stiffened Composite Panel with Embedded Fiber Bragg Grating Sensor Networks. Sensors. 2017; 17(4): 743. doi: 10.3390/s17040743
[8]Leal-Junior A, Casas J, Marques C, et al. Application of additive layer manufacturing technique on the development of high sensitive fiber bragg grating temperature sensors. Sensors. 2018; 18(12): 4120. doi: 10.3390/s18124120
[9]Bernardini G, Porcelli R, Serafini J, et al. Rotor blade shape reconstruction from strain measurements. Aerospace Science and Technology. 2018; 79: 580–587. doi: 10.1016/j.ast.2018.06.012
[10]Elayaperumal S, Plata JC, Holbrook AB, et al. Autonomous real-time interventional scan plane control with a 3-D shape-sensing needle. IEEE Transactions on Medical Imaging. 2014; 33(11): 2128–2139. doi: 10.1109/TMI.2014.2332354
[11]Wu H, Dong R, Liu Z, et al. Deformation monitoring and shape reconstruction of flexible planer structures based on FBG. Micromachines. 2022; 13(8): 1237. doi: 10.3390/mi13081237
[12]Biazi V, Avellar L, Frizera A, et al. Influence of two-plane position and stress on intensity-variation-based sensors: towards shape sensing in polymer optical fibers. Sensors. 2021; 21(23): 7848. doi: 10.3390/s21237848
[13]Yi J, Zhu X, Zhang H, et al. Spatial shape reconstruction using orthogonal fiber Bragg grating sensor array. Mechatronics. 2012; 22(6): 679–687. doi: 10.1016/j.mechatronics.2011.10.005
[14]Waltermann C, Doering A, Köhring M, et al. Cladding waveguide gratings in standard single-mode fiber for 3D shape sensing. Optics Letters. 2015; 40(13): 3109. doi: 10.1364/OL.40.003109
[15]Feng D, Zhou W, Qiao X, et al. Compact optical fiber 3D shape sensor based on a pair of orthogonal tilted fiber bragg gratings. Scientific Reports. 2015; 5(1): 17415. doi: 10.1038/srep17415
[16]Berthelot JM. Composite Materials. Springer New York; 1999. doi: 10.1007/978-1-4612-0527-2
[17]Gay D. Composite materials: Design and applications, 4th ed. CRC Press; 2022. doi: 10.1201/9781003195788
[18]Othonos A, Kalli K, Kohnke GE. Fiber bragg gratings: fundamentals and applications in telecommunications and sensing. Physics Today. 2000; 53(5): 61–62. doi: 10.1063/1.883086
[19]Marques C, Leal-Júnior A, Kumar S. Multifunctional integration of optical fibers and nanomaterials for aircraft systems. Materials. 2023; 16(4): 1433. doi: 10.3390/ma16041433
[20]Di Sante R. Fibre optic sensors for structural health monitoring of aircraft composite structures: recent advances and applications. Sensors. 2015; 15(8): 18666–18713. doi: 10.3390/s150818666
[21]Shivakumar K, Emmanwori L. Mechanics of failure of composite laminates with an embedded fiber optic sensor. Journal of Composite Materials. 2004; 38(8): 669–680. doi: 10.1177/0021998304042393
[22]Jensen DW, Pascual J. Degradation of graphite/bismaleimide laminates with multiple embedded fiber optic sensors. In: Proceedings of the SPIE Microelectronic Interconnect and Integrated Processing Symposium; 16 September 1990; San Jose, CA, USA. p. 228. doi: 10.1117/12.24838
[23]Kreuzer, M. Strain measurement with fiber Bragg grating sensors. HBM Darmstadt. 2006; S2338: 1–9. Available online: https://www.researchgate.net/publication/242599041_Strain_Measurement_with_Fiber_Bragg_Grating_Sensors
[24]Espejo RJ, Dyer SD. Transverse-stress fiber bragg grating sensor with high spatial resolution and temperature stability. Journal of Lightwave Technology. 2007; 25(7): 1777–1785. doi: 10.1109/JLT.2007.897718
[25]Berkoff TA, Kersey AD. Experimental demonstration of a fiber Bragg grating accelerometer. IEEE Photonics Technology Letters. 1996; 8(12): 1677–1679. doi: 10.1109/68.544716
[26]Kalizhanova A, Kunelbayev M, Kozbakova A, et al. Computation of temperature, deformation and pressure in engineering and building structures using fiber bragg sensor with tilted grating in kazakhstan. Materials Today: Proceedings. 2022; 50: 1333–1340. doi: 10.1016/j.matpr.2021.08.252
[27]Güemes A, Fernández-López A, Díaz-Maroto P, et al. Structural health monitoring in composite structures by fiber-optic sensors. Sensors. 2018; 18(4): 1094. doi: 10.3390/s18041094
[28]Sierra-Pérez J, Torres-Arredondo MA, Güemes A. Damage and nonlinearities detection in wind turbine blades based on strain field pattern recognition. FBGs, OBR and strain gauges comparison. Composite Structures. 2016; 135: 156–166. doi: 10.1016/j.compstruct.2015.08.137
[29]Lamberti A, Chiesura G, Luyckx G, et al. Dynamic strain measurements on automotive and aeronautic composite components by means of embedded fiber bragg grating sensors. Sensors. 2015; 15(10): 27174–27200. doi: 10.3390/s151027174
[30]Szebényi G, Blößl Y, Hegedüs G, et al. Fatigue monitoring of flax fibre reinforced epoxy composites using integrated fibre-optical FBG sensors. Composites Science and Technology. 2020; 199: 108317. doi: 10.1016/j.compscitech.2020.108317
[31]Gąsior P, Malesa M, Kaleta J, et al. Application of complementary optical methods for strain investigation in composite high pressure vessel. Composite Structures. 2018; 203: 718–724. doi: 10.1016/j.compstruct.2018.07.060
[32]Gąsior P, Rybczyński R, Kaleta J, et al. High pressure composite vessel with integrated optical fiber sensors: monitoring of manufacturing process and operation. In: High-Pressure Technology; ASME Nondestructive Evaluation, Diagnosis and Prognosis Division (NDPD); Rudy Scavuzzo Student Paper Symposium and 26th Annual Student Paper Competition. In: Proceedings of the ASME 2018 Pressure Vessels and Piping Conference; 15 July 2018; Prague, Czech Republic. doi: 10.1115/PVP2018-85157
[33]Mieloszyk M, Majewska K, Ostachowicz W. Application of embedded fibre Bragg grating sensors for structural health monitoring of complex composite structures for marine applications. Marine Structures. 2021; 76: 102903. doi: 10.1016/j.marstruc.2020.102903
[34]Wagreich RB, Atia WA, Singh H, et al. Effects of diametric load on fibre Bragg gratingsfabricated in low birefringent fibre. Electronics Letters. 1996; 32(13): 1223–1224. doi: 10.1049/el:19960806
[35]Luyckx G, Voet E, Lammens N, et al. Residual strain-induced birefringent FBGs for multi-axial strain monitoring of CFRP composite laminates. NDT & E International. 2013; 54: 142–150. doi: 10.1016/j.ndteint.2012.11.008




