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Manipulation of optimal size-weight project parameters of composite structurally anisotropic aircraft panels with restrictions according to the refined buckling theory

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Abstract

This article discusses the challenge of defining the geometry parameters for minimum mass stiffened aircraft panels made of composite materials. The thickness and size of the panel elements are unknown variables, and the optimal design is based on the condition of equal buckling. To solve this problem, the authors reduce the optimal design problem to the investigation of the weight function with multiple variables using analytical methods and refined buckling theory restrictions. The article introduces novel mathematical relationships for investigating the buckling of structurally anisotropic composite panels. The model couples bending with a plane stress state, resulting in a boundary value problem that involves solving an eighth-order partial differential equation within a rectangular field. To facilitate this, a software package was developed using the MATLAB operating environment. A set of computer programs was created to conduct multi-criteria optimization of the optimal design of structurally anisotropic aircraft composite panels. The study also examines the impact of design parameters on the critical buckling forces for both bending and torsion modes. The results of a new implementation of an optimal size-weight project for carbon-epoxy skin are given. A project with restrictions on the refined buckling theory for structurally anisotropic aircraft panels made of composite materials has been manipulated in terms of plies thicknesses. Optimal solutions are obtained.

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References

  1. Gavva LM, Endogur AI (2018) Statics and buckling problems of aircraft structurally- anisotropic composite panels with the influence of production technology. IOP Conf Ser 312(1):012009

    Article  Google Scholar 

  2. Andrienko VM, Belous VA (2001) Optimal design of wing box composite panels with strength and buckling restrictions. TSAGI Proc 2642:151–158

    Google Scholar 

  3. Mitrophanov OV (1998) Estimation of some approaches to composite wing weight decreasing and optimal reinforcement of stiffened panels with buckling restrictions. Air fleet equipment V 72(1):36–40

    Google Scholar 

  4. Mitrophanov OV, Strelyaev DV (1999) Optimal design of composite stiffened panels of aerospace aircraft Shuttle. MGTU CA Science Proc 13:31–34

    Google Scholar 

  5. Yoko K, Kameyama M, Ning H, Fukunaga H (2004) Optimum design of composite wing considering stiffened panel buckling. Nihon kikai ronbunshu A V 70(691):479–486

    Google Scholar 

  6. Kolpakov AA (2006) Design of plates with defined stiffness and minimum ply number and materials. Eng Phys J V 79(5):165–174

    Google Scholar 

  7. Kolpakov AA, Kolpakov AG (2005) Solution of the laminated plate design problem: new problems and algorithms. Comput Struct V 83(12–13):964–975

    Article  Google Scholar 

  8. Chedrick V V (2004) Optimization of bearing structures made from composite materials. 2004 TSAGI Proc. 2664: 188–198

  9. Chedrick VV (2005) Practical methods of optimal design of layered composite structures. Compos Mater Struct Mech V 11(2):184–198

    Google Scholar 

  10. Cao J, Shi Y, Wang H, Yao R, Wang S (2019) Optimal Design of Stiffened Panels Considering Torsion of Supporting Stiffeners. IOP Conf. Series: Materials Science and Engineering 616: pp. 012030. https://doi.org/10.1088/1757-899X/616/1/012030

  11. Kirubakaran R, Lokesharun D, Rajkumar S, Anand R (2017)Aircraft Wing Weight Optimization by Composite Material Structure Design Configuration. IOSR Journal of Mechanical and Civil Engineering (IOSR-JMCE), 14 (6): 71–80. https://doi.org/10.9790/1684-1406027180

  12. Salar M, Dizangian B (2021) Optimization of multi-layer composite plates subjected to buckling load utilizing TLBO method. Third conference on environment, civil engineering, architecture, urban planning, Valencia, Spain.

  13. Schaedler F (2019) Optimization of laminated composite structures using harmony search algorithm. Compos Struct 221:110852. https://doi.org/10.1016/j.compstruct.2019.04.024

    Article  Google Scholar 

  14. Zeliff K, Bennette W, Ferguson S (2016) Multi-objective composite panel optimization using machine learning classifiers, genetic algorithms. Proceedings of the ASME 2016 International Design Engineering Technical Conferences, Computers, Information in Engineering Conference IDETC/CIE, Charlotte, USA.

  15. Fares ME, Youssif YG, Elshoraky AE (2006) Non—linear design and control optimization of composite laminated plates with buckling and postbuckling objectives. Int J Non-Linear Mech V 41(6–7):807–824

    Article  ADS  Google Scholar 

  16. Rahman H, De Breuker R, Castro S, (2022) Optimal design of stiffened panels under buckling constraints: a design methodology considering CAD-based parameterization with simultaneous layout and sizing optimization. 33th Congress of the International Council of the Aeronautical Sciences, ICAS proceedings, Stockholm, Sweden.

  17. Rodrigues R, Gomes T, Giovani S (2021) Support Vector Machine Applied to the Optimal Design of Composite Wing Panels. Aerospace 8(11):328. https://doi.org/10.3390/aerospace8110328

    Article  Google Scholar 

  18. Sanchez-Carmona A, Cuerno-Rejado C (2018) Composite stiffened panel sizing for conceptual tail design. Aircraft Engineering, Aerospace Technology 90(8):1272–1281. https://doi.org/10.1108/AEAT-05-2017-0129

    Article  Google Scholar 

  19. Yibre A, Koçer B, Esleman E, Önal G (2020) Weight optimization of hybrid composite laminate using learning-oriented artificial algae algorithm. SN Applied Sciences 2:1326. https://doi.org/10.1007/s42452-020-3126-0

    Article  Google Scholar 

  20. Karpov Ya S (2004) Structure composite material optimization of aircraft panels with strength, buckling and deflection restrictions. Strength Probl 6:33–47

    Google Scholar 

  21. Sh KA (2013) Design algorithm of stiffened composite plates. Perm Univ Proc Mathematics Informatics 4:34–38

    Google Scholar 

  22. An H, Chen S, Huang H (2018) Concurrent optimization of stacking sequence and stiffener layout of a composite stiffened panel. Eng Optim 51(4):608–626. https://doi.org/10.1080/0305215X.2018.1492570

    Article  MathSciNet  Google Scholar 

  23. Chen X, Wang X, Qiu Z, Wang L, Li X, Shi Q (2018) A novel reliability-based two-level optimization method for composite laminated structures. Compos Struct 192:336–346. https://doi.org/10.1016/j.compstruct.2018.03.016

    Article  Google Scholar 

  24. Kazemi M, Verchery G (2016) A methodology for optimal design of composite laminates using polar formalism. J Mech 32:255–266. https://doi.org/10.1017/jmech.2015.98

    Article  Google Scholar 

  25. Kazemi M, Verchery G (2016) Design of composite laminated plates for maximum buckling load with stiffness and elastic modulus constraints. Compos Struct 148:27–38. https://doi.org/10.1016/j.compstruct.2016.03.051

    Article  Google Scholar 

  26. Li X, Zhu Z, Li Y, Fei Y, (2020) Optimization design of a composite hull stiffened panel considering structural stability. In: International conference on ecological resources, energy, construction, transportation and materials (EECTM 2020), Shanghai, China. DOI: https://doi.org/10.23977/EECTM2020.035

  27. Tsai S, Arteiro A, Melo J (2015) A trace-based approach to design for manufacturing of composite laminates. J Reinforced Plastics Composites, 0(0): 1–12. https://doi.org/10.1177/0731684415624770

  28. Wang W, Chang X-L, Zhang Y-H, Wang C-W (2020) Composite laminated multi-objective optimization design. International Conference on Artificial Intelligence, Electromechanical Automation (AIEA): 599–602. Tianjin, China doi: https://doi.org/10.1109/AIEA51086.2020.00134

  29. Walker M (2002) The effect of stiffeners on the optimal ply orientation and buckling load of rectangular laminated plates. Comput and Struct V 80(27–30):2229–2239

    Article  Google Scholar 

  30. Komarov V A, Chernyaev A V (2009) Comparative analysis of different approaches to structure design of thin-walled elements made from composite materials. Management, computer technology and informatics, Moscow

  31. Díaz J, Montoya M, Hernández S (2016) Efficient methodologies for reliability-based design optimization of composite panels. Adv Eng Softw 93:9–21. https://doi.org/10.1016/j.advengsoft.2015.12.001

    Article  Google Scholar 

  32. Mitrophanov OV (2000) Applied design of rib and spar walls made from composite materials. Air Fleet Equipment V 74(3–4):27–32

    Google Scholar 

  33. Adali S, Lene F, Duvaut G, Chiaruttini V (2003) Optimization of laminated composite subject to uncertain buckling loads. Compos Struct V 62(3–4):261–269

    Article  Google Scholar 

  34. Ho-Huu V, Do-Thi TD, Dang-Trung H, Vo-Duy T, Nguyen-Thoi T (2016) Optimization of laminated composite plates for maximizing buckling load using improved differential evolution and smoothed finite element method. Compos Struct 146:132–147. https://doi.org/10.1016/j.compstruct.2016.03.016

    Article  Google Scholar 

  35. Mitrofanov O V, Kaykov K V (2017) The applied design problems of composite stiffened panels with the buckling and bearing strength restrictions. Moscow Aviation Institute (NRU) Moscow : 64 (In Russian)

  36. Firsanov VV, Gavva LM (2017) The investigation of the bending form of buckling for structurally-anisotropic panels made of composite materials in operating MATLAB system. Struct Mech Eng Constructions Build 4:66–76 ((In Russian))

    Article  Google Scholar 

  37. Gavva LM (2020) New model and analytical review of approaches to buckling problem investigation of structurally-anisotropic aircraft panels made from composite materials. Lecture Notes Electr Eng 622:163–175

    Article  ADS  Google Scholar 

  38. Gavva LM, Firsanov VV, Korochkov AN (2020) Buckling problem statement and approaches to buckling problem investigation of structurally-anisotropic aircraft panels made from composite materials. IOP Conf Ser 714(1):012007

    Article  Google Scholar 

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Funding

The article is prepared in the implementation of the program for the creation and development of the World-Class Research Center “Supersonic” for 2020–2025 funded by the Ministry of Science and Higher Education of the Russian Federation (Grant agreement of April 20, 2022 № 075–15- 2022–309).

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Correspondence to V. V. Korolskii.

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Appendix A: Worldwide scientific schools dedicated to the problem of anisotropic panels optimal design

Appendix A: Worldwide scientific schools dedicated to the problem of anisotropic panels optimal design

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European scientific schools 1

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European scientific schools 2

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Asian scientific schools 1

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Asian scientific schools 2

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Asian scientific schools 3

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South American scientific schools

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North American scientific schools

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Australian scientific schools

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Leading scientific schools established around the world and dedicated to the problem of anisotropic panels optimal design are highlighted. The classification is given below.

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Korolskii, V.V., Turbin, N.V. & Gavva, L.M. Manipulation of optimal size-weight project parameters of composite structurally anisotropic aircraft panels with restrictions according to the refined buckling theory. AS (2024). https://doi.org/10.1007/s42401-024-00277-2

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  • DOI: https://doi.org/10.1007/s42401-024-00277-2

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