Application of Bezier curves for description of structure shape in optimization of adhesive joints

Authors

DOI:

https://doi.org/10.20535/SRIT.2308-8893.2023.2.09

Keywords:

three layer construction, topological optimization, genetic algorithm

Abstract

The problem of topological optimization of a symmetrical double-shear adhesive joint has been solved. The suggested mathematical model of a joint with variable thickness generalizes the classic Holland–Reissner model. The shape of the doubler is described by means of the Bezier curve. Seeking parameters in the optimization problem are coordinates of reference points of the Bezier curve. Both joint length and doubler cross-section area can be considered an objective function. The restriction is applied on stress in adhesive film and doubler. The direct problem of finding the joint stress state at given geometric parameters was solved using the finite difference method. The genetic algorithm was used to solve the optimization problem. In order to improve the convergence of the genetic algorithm, the island model of evolution is suggested, which ensures quick evolution selection and stability of obtained results. The model problem is solved.

Author Biographies

Sergey Kurennov, National Aerospace University “Kharkiv Aviation Institute”, Kharkiv

Associate professor, Doctor of Technical Sciences, professor at the National Aerospace University “Kharkiv Aviation Institute”, Kharkiv, Ukraine.

Kostiantyn Barakhov, National Aerospace University “Kharkiv Aviation Institute”, Kharkiv

Candidate of Technical Sciences (Ph.D.), an associate professor at the National Aerospace University “Kharkiv Aviation Institute”, Kharkiv, Ukraine.

Hanna Barakhova, National Aerospace University “Kharkiv Aviation Institute”, Kharkiv

Ph.D. student at the National Aerospace University “Kharkiv Aviation Institute”, Kharkiv, Ukraine.

References

L.F.M. da Silva, P.J.C. Das Neves, R.D. Adams, and J.K. Spelt, “Analytical models of adhesively bonded joints. Part I: Literature survey,” International Journal of Adhesion and Adhesives, vol. 29, pp. 319–330, 2009. Available: https://doi.org/10.1016/j.ijadhadh.2008.06.005

M. Shishesaz and M. Hosseini, “Effects of joint geometry and material on stress distribution, strength and failure of bonded composite joints: an overview,” The Journal of Adhesion, vol. 96, iss. 12, pp. 1053–1121, 2018. doi: 10.1080/00218464.2018.1554483.

K.P. Barakhov and I.M. Taranenko, “Influence of Joint Edge Shape on Stress Distribution in Adhesive Film,” in Nechyporuk M., Pavlikov V., Kritskiy D. (eds) Integrated Computer Technologies in Mechanical Engineering – 2021. ICTM 2021. Lecture Notes in Networks and Systems, vol 367, pp. 123–132. Springer, Cham, 2022. Available: https://doi.org/10.1007/978-3-030-94259-5_12

R. Haghani, M. Al-Emrani, and R. Kliger, “Effect of Laminate Tapering on Strain Distribution in Adhesive Joints: Experimental Investigation,” Journal of Reinforced Plastics and Composites, vol. 29, iss. 7, pp. 972–985, 2009. doi: 10.1177/0731684408102698.

F. Ramezani, M.R. Ayatollahi, A. Akhavan-Safar, and L.F.M. Da Silva, “A comprehensive experimental study on bi-adhesive single lap joints using DIC technique,” International Journal of Adhesion and Adhesives, vol. 120, 102674, 2020. Available: https://doi.org/10.1016/j.ijadhadh.2020.102674

X. Shang, E.A.S. Marques, J.J.M. Machado, R.J.C. Carbas, D. Jiang, and L.F.M. da Silva, “Review on techniques to improve the strength of adhesive joints with composite adherends,” Composites Part B: Engineering, vol. 177, 107363, 2019. doi: 10.1016/j.compositesb.2019.107363.

J. Kupski and S. Teixeira de Freitas, “Design of adhesively bonded lap joints with laminated CFRP adherends: Review, challenges and new opportunities for aerospace structures,” Composite Structures, vol. 268, 113923, 2021. Available: https://doi.org/10.1016/j.compstruct.2021.113923

S. Amidi and J. Wang “An analytical model for interfacial stresses in double-lap bonded joints,” The Journal of Adhesion, vol. 95, iss. 11, pp. 1031–1055, 2019. Available: https://doi.org/10.1080/00218464.2018.1464917

S. Kurennov and N. Smetankina, “Stress-Strain State of a Double Lap Joint of Circular Form. Axisymmetric Model,” in Nechyporuk M., Pavlikov V., Kritskiy D. (eds) Integrated Computer Technologies in Mechanical Engineering – 2021. ICTM 2021. Lecture Notes in Networks and Systems, vol 367, pp. 36–46. Springer, Cham, 2022. Available: https://doi.org/10.1007/978-3-030-94259-5_4

S. Kurennov, K. Barakhov, D. Dvoretska, and O. Poliakov, “Stress State of Two Glued Coaxial Tubes Under Nonuniform Axial Load,” in Nechyporuk M., Pavlikov V., Kritskiy D. (eds) Integrated Computer Technologies in Mechanical Engineering – 2020. ICTM 2020. Lecture Notes in Networks and Systems, vol. 188, pp. 389–400. Springer, Cham, 2021. Available: https://doi.org/10.1007/978-3-030-66717-7_33

S. Kurennov, K. Barakhov, I. Taranenko, and V. Stepanenko, “A genetic algorithm of optimal design of beam at restricted sagging,” Radioelectronic and Computer Systems, no. 2, pp. 83–91, 2022. Available: https://doi.org/10.32620/reks.2022.1.06.

Mehdi Veisytabar, Arash Reza, and Younes Shekari, “Stress analysis of adhesively-bonded single stepped-lap joints based on three-parameter fractional viscoelastic foundation model,” Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications, no. 5, pp. 933–949, 2022. Available: https://doi.org/10.1177/14644207211062497

H.L. Groth and P. Nordlund, “Shape optimization of bonded joints,” International Journal of Adhesion and Adhesives, vol. 11, no. 4, pp. 204–212, 1991. doi: 10.1016/0143-7496(91)90002-y.

H.C. Ayaz Ümütlü and Z. Kiral, “Airfoil shape optimization using Bézier curve and genetic algorithm,” Aviation, vol. 26(1), pp. 32–40, 2022. Available: https://doi.org/10.3846/aviation.2022.16471

P. Zou, J. Bricker, and W. Uijttewaal, “Optimization of submerged floating tunnel cross section based on parametric Bézier curves and hybrid backpropagation – genetic algorithm,” Marine Structures, vol. 74, 102807, 2020. doi: 10.1016/j.marstruc.2020.102807.

S.S. Kurennov, Topological optimization of a symmetric single-lap adhesive joint, System Research & Information Technologies, no. 2, pp. 75–84, 2022. Available: https://doi.org/10.20535/SRIT.2308-8893.2022.2.05

S. Kurennov, K. Barakhov, and O. Vambol, “Topological optimization of a symmetrical adhesive joint. Island model of genetic algorithm,” Radioelectronic and Computer Systems, no. 3, pp. 67–83, 2022. doi: 10.32620/reks.2022.3.05.

A.R. Rispler, L. Tong, G.P. Steven, and M. R. Wisnom, “Shape optimisation of adhesive fillets,” International Journal of Adhesion and Adhesives, 20(3), pp. 221–231, 2000. doi: 10.1016/s0143-7496(99)00047-0.

G. Belingardi, L. Goglio, and A. Tarditi, “On the Optimization of Single Lap Metal/Plastics Adhesive Joints,” Key Engineering Materials, vol. 221–222, pp. 161–172, 2001. doi: 10.4028/www.scientific.net/kem.221-222.161.

V.S. Symonov, I.S. Karpov, and J. Juračka, “Optimization of a Panelled Smooth Composite Shell with a Closed Cross-Sectional Contour by Using a Genetic Algorithm,” Mechanics of Composite Materials, 49(5), pp. 563–570, 2013. Available: https://doi.org/10.1007/s11029-013-9372-0

M. HassanVand, H. Abbaszadeh, and M. Shishesaz, “Optimization of adhesive single-lap joints under bending moment,” The Journal of Adhesion, vol. 98, iss. 11, pp. 1687–1712, 2021. Available: https://doi.org/10.1080/00218464.2021.1932485

V. Sineglazov, K. Riazanovskiy, and O. Chumachenko, “Multicriteria conditional optimization based on genetic algorithms,” System Research & Information Technologies, no. 3, pp. 89–104, 2020. doi: 10.20535/SRIT.2308-8893.2020.3.07.

A.A. Gozali and S. Fujimura, “DM-LIMGA: Dual Migration Localized Island Model Genetic Algorithm—a better diversity preserver island model,” Evol. Intel., 12, pp. 527–539, 2019. Available: https://doi.org/10.1007/s12065-019-00253-2

J.M. Palomo-Romero, L. Salas-Morera, and L. García-Hernández, “An island model genetic algorithm for unequal area facility layout problems,” Expert Systems with Applications, 68, pp. 151–162, 2017. Available: https://doi.org/10.1016/j.eswa.2016.10.004

X. Sun, P. Chou, C.-C. Wu, and L.-R. Chen, “Quality-Oriented Study on Mapping Island Model Genetic Algorithm onto CUDA GPU,” Symmetry, 11(3), 318, 2019. doi: 10.3390/sym11030318

Y. Niu, X. Xu, and S. Guo, “Structural Optimization Design of a Typical Adhesive Bonded Honeycomb-Core Sandwich T-joint in Side Bending Using Multi-Island Genetic Algorithm,” Applied Composite Materials, 2021. doi: 10.1007/s10443-021-09882-2

Lucas Angelo da Silveira, Thaynara Arielly de Lima, and Mauricio Ayala-Rincón, Reconfigurable Hetero-geneous Parallel Island Models. 2022. Available: https://doi.org/10.48550/arXiv.2205.02916

S.S. Kurennov, “Refined Mathematical Model of the Stress State of Adhesive Lap Joint: Experimental Determination of the Adhesive Layer Strength Criterion,” Strength of Mater., 52, pp. 779–789, 2020. Available: https://doi.org/10.1007/s11223-020-00231-5

P. Tsokanas, T. Loutas, G. Kotsinis, V. Kostopoulos, W. M. van der Brink, and F. Martin de la Escalera, “On the fracture toughness of metal-composite adhesive joints with bending-extension coupling and residual thermal stresses effect,” Composites Part B: Engineering, vol. 185, 107694, 2019. doi: 10.1016/j.compositesb.2019.107694

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Published

2023-06-30

Issue

No. 2 (2023)

Section

Methods of optimization, optimum control and theory of games

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