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The Customization of the Geodesic Algorithm for Optimal Fastener Arrangement

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Optimization and Applications (OPTIMA 2023)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 14395))

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Abstract

The search for rational ways to accelerate aircraft assembly seems to be one of the most important tasks of modern aerospace industry. Elimination of the manual operations that follow the temporary fastening can be efficient though the requirements to the final quality are to be preserved. The problem of fastening optimization in its turn is based on the solving of contact problem series that account for mechanical properties of the assembly, dimensions of variation, etc. A special non-iterative geodesic algorithm based on computation of contact forces arising during assembly and geodesic distances between fastener positions is being developed [11] and applied to solving several industrial problems. However, the algorithm includes a set of input parameters that significantly affect the resulting arrangement, i.e. a starting point, weight coefficients for forces and distances, accuracy of the contact problem solution, etc. The further development and application of the algorithm to specific industrial problems requires elaborating of recommendations for the algorithm tuning or choice of parameter values. The present paper discusses the tuning of geodesic algorithm and demonstrates its efficiency on different problems.

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References

  1. Ambrozkiewicz, O., Kriegesmann, B.: Simultaneous topology and fastener layout optimization of assemblies considering joint failure. Int. J. Numer. Methods Eng. 122(1), 294–319 (2021)

    Article  MathSciNet  Google Scholar 

  2. Chickermane, H., Gea, H.C., Yang, R.J., Chuang, C.H.: Optimal fastener pattern design considering bearing loads. Struct. Optim. 17(2), 140–146 (1999)

    Article  Google Scholar 

  3. Lupuleac, S., et al.: Combination of experimental and computational approaches to a320 wing assembly. SAE Technical Papers 2017-September (2017)

    Google Scholar 

  4. Lupuleac, S., Kovtun, M., Rodionova, O.: Assembly simulation of riveting process. SAE Int. J. Aerosp. 2(1), 193–198 (2009)

    Article  Google Scholar 

  5. Lupuleac, S., Pogarskaia, T., Churilova, M., Kokkolaras, M., Bonhomme, E.: Optimization of fastener pattern in airframe assembly. Assem. Autom. 40(3), 723–733 (2020)

    Article  Google Scholar 

  6. Lupuleac, S., et al.: Optimization of automated airframe assembly process on example of a350 s19 splice joint. In: SAE Technical Paper. SAE International (2019)

    Google Scholar 

  7. Lupuleac, S., et al.: Simulation of the wing-to-fuselage assembly process. J. Manuf. Sci. E. T. ASME 141, 1 (2019)

    Article  Google Scholar 

  8. Menassa, R.J., DeVries, W.R.: Optimization methods applied to selecting support positions in fixture design. J. Eng. Ind. 113(4), 412–418 (1991)

    Article  Google Scholar 

  9. Oinonen, A., Tanskanen, P., Björk, T., Marquis, G.: Pattern optimization of eccentrically loaded multi-fastener joints. Struct. Multidiscip. Optim. 40(1), 597 (2009)

    Google Scholar 

  10. Pogarskaia, T., Churilova, M., Bonhomme, E.: Application of a Novel Approach Based on Geodesic Distance and Pressure Distribution to Optimization of Automated Airframe Assembly Process. In: Voevodin, V., Sobolev, S. (eds.) RuSCDays 2020. CCIS, vol. 1331, pp. 162–173. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-64616-5_14

    Chapter  Google Scholar 

  11. Pogarskaia, T., Lupuleac, S., Bonhomme, E.: Novel approach to optimization of fastener pattern for airframe assembly process. In: Procedia CIRP, vol. 93 (2020)

    Google Scholar 

  12. Pogarskaia, T., Lupuleac, S., Shinder, J., Westphal, P.: Optimization of the Installation Sequence for the Temporary Fasteners in the Aircraft Industry. J. Comput. Inf. Sci. Eng. 22(4), 040901 (2022)

    Article  Google Scholar 

  13. Popov, N.P., Pogarskaia, T.A.: Geodesic distance numerical computation on compliant mechanical parts in the aircraft industry. J. Phys: Conf. Ser. 1326, 012026 (2019)

    Google Scholar 

  14. Rakotondrainibe, L., Desai, J., Orval, P., Allaire, G.: Coupled topology optimization of structure and connections for bolted mechanical systems. Eur. J. Mech. A. Solids 93, 104499 (2022)

    Article  MathSciNet  MATH  Google Scholar 

  15. Sadeghi Tabar, R., Wärmefjord, K., Söderberg, R.: Rapid sequence optimization of spot welds for improved geometrical quality using a novel stepwise algorithm. Eng. Optim. 53(5), 867–884 (2020)

    Article  MathSciNet  MATH  Google Scholar 

  16. Stefanova, M., Baklanov, S.: The relative formulation of the quadratic programming problem in the aircraft assembly modeling. In: Olenev, N., Evtushenko, Y., Jaćimović, M., Khachay, M., Malkova, V., Pospelov, I. (eds.) Optimization and Applications, pp. 34–48. Springer Nature Switzerland, Cham (2022). https://doi.org/10.1007/978-3-031-22543-7_3

    Chapter  Google Scholar 

  17. Stefanova, M., et al.: Convex optimization techniques in compliant assembly simulation. Optim. Eng. 21(4), 1665–1690 (2020)

    Article  MathSciNet  MATH  Google Scholar 

  18. Thomas, S., Li, Q., Steven, G.: Topology optimization for periodic multi-component structures with stiffness and frequency criteria. Struct. Multidiscip. Optim. 61(6), 2271–2289 (2020)

    Article  MathSciNet  Google Scholar 

  19. Watkins, M., Jakiela, M.: Fastener pattern optimization of an eccentrically loaded multi-fastener connection. In: Proceedings of the ASME Design Engineering Technical Conference, vol. 1, pp. 1209–1218 (2010)

    Google Scholar 

  20. Yang, D., Qu, W., Ke, Y.: Evaluation of residual clearance after prejoining and pre-joining scheme optimization in aircraft panel assembly. Assem. Autom. 36(4), 376–387 (2016)

    Article  Google Scholar 

  21. Zaitseva, N., Lupuleac, S., Khashba, V., Shinder, Y., Bonhomme, E.: Approaches to initial gap modeling in final aircraft assembly simulation. In: ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE), vol. 2 (2020)

    Google Scholar 

  22. Zhang, B., Brown, D., St. Pierre, J., Tao, X., Williams, I., Whitehead, G., Wolfe, C., Pillutla, R.: Multi-objectives optimization of fastener location in a bolted joint. SAE Technical Papers 2 (2013)

    Google Scholar 

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Acknowledgements

The research was supported by Russian Science Foundation (project No. 22-19-00062, https://rscf.ru/en/project/22-19-00062/). The authors are grateful to Maria Churilova and Vasily Lupuleac for their valuable assistance in preparing the publication.

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Authors and Affiliations

  1. Peter the Great St. Petersburg Polytechnic University, St. Petersburg, 195251, Russia

    Julia Shinder, Margarita Petukhova, Sergey Lupuleac & Tatiana Pogarskaia

Authors
  1. Julia Shinder
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  2. Margarita Petukhova
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  3. Sergey Lupuleac
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  4. Tatiana Pogarskaia
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Corresponding author

Correspondence to Margarita Petukhova .

Editor information

Editors and Affiliations

  1. FRC CSC RAS, Moscow, Russia

    Nicholas Olenev

  2. FRC CSC RAS, Moscow, Russia

    Yuri Evtushenko

  3. University of Montenegro, Podgorica, Montenegro

    Milojica Jaćimović

  4. Krasovsky Institute of Mathematics and Mechanics, Ekaterinburg, Russia

    Michael Khachay

  5. FRC CSC RAS, Moscow, Russia

    Vlasta Malkova

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Shinder, J., Petukhova, M., Lupuleac, S., Pogarskaia, T. (2023). The Customization of the Geodesic Algorithm for Optimal Fastener Arrangement. In: Olenev, N., Evtushenko, Y., Jaćimović, M., Khachay, M., Malkova, V. (eds) Optimization and Applications. OPTIMA 2023. Lecture Notes in Computer Science, vol 14395. Springer, Cham. https://doi.org/10.1007/978-3-031-47859-8_27

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  • DOI: https://doi.org/10.1007/978-3-031-47859-8_27

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-47858-1

  • Online ISBN: 978-3-031-47859-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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