Acta Mechanica Slovaca 2023, 27(1):16-25 | DOI: 10.21496/ams.2023.013

Fast Three-phase Mass Minimization of Truss and Shell Structures with Stress and Stiffness Constraints

¥ubomír Ondris
Jantárová 8, 040 01 Ko¹ice, Slovak Republic

The paper describes a new iterative optimization procedure and its simple to use computer implementation, allowing to minimize the mass of truss and shell structures under static load while satisfying the stress and stiffness constraints and keeping the mesh topology of the structure. The procedure first fulfils the stress constraint, then the stiffness constraint. Finally, the continuously found design variables can be replaced by discrete values from user's catalogue. Seven optimized structures are described, and results are discussed in detail. Compared to other optimization procedures, the described technique is an order of magnitude faster and suitable for everyday use in design practice of even large structures.

Keywords: steel structures; mass minimization; FE analysis; truss elements; shell elements; fully stressed design; stress constraint; stiffness constraint

Received: January 3, 2023; Revised: March 8, 2023; Accepted: March 9, 2023; Published: March 24, 2023  Show citation

ACS AIP APA ASA Harvard Chicago Chicago Notes IEEE ISO690 MLA NLM Turabian Vancouver
Ondris, ¥. (2023). Fast Three-phase Mass Minimization of Truss and Shell Structures with Stress and Stiffness Constraints. Acta Mechanica Slovaca, 27(1), 16-25. doi: 10.21496/ams.2023.013
Share...
Download citation
  • BibTeX (.bib)
  • Bookends (.ris)
  • EasyBib (.ris)
  • EndNote (.enw)
  • EndNote 8 (.xml)
  • ISI WoS (.isi)
  • Medlars (.medlars)
  • Mendeley (.ris)
  • MODS (.xml)
  • Papers (.ris)
  • RefWorks (.txt)
  • RefManager (.ris)
  • RIS (.ris)
  • MS Word (.xml)
  • Zotero (.ris)
    • Open full article

    References

    1. Barakat, S. et al. (2022). Size Optimization of Truss Structures Using Calibrated Shuffled Complex Evolution Algorithm, Jordan Journal of Civil Engineering 16 (4), 2022, 540-548
    2. Nelder, J.A., and Mead, R. (1965). A Simplex Method for Function Minimization. The Computer Journal, 7 (4), 308-313 https://doi.org/10.1093/comjnl/7.4.308(access Dec. 2022) Go to original source...
    3. Vanderplaats, G.N. (1987). Numerical Optimization Techniques. In: Computer Aided Optimal Design: Structural and Mechanical Systems, 197-239. Springer, Berlin-Heidelberg https://doi.org/10.1007/978-3-642-83051-8_5(access Dec. 2022) Go to original source...
    4. Hasancebi, O., Carbas, S., Dogan, E., Erdal, F., Saka, M.P. (2010). Comparison of non- deterministic search techniques in the optimum design of real size steel frames, Computers and Structures 88 (2010), 1033-1048 Go to original source...
    5. AlHamaydeh, M., Barakat, S., Nasif, O. (2017). Optimization of Support Structures for Offshore Wind Turbines Using Genetic Algorithm with Domain-Trimming, Mathematical Problems in Engineering, Vol. 2017, Article ID 5978375 https://doi.org/10.1155/2017/5978375(access Dec. 2022) Go to original source...
    6. Dmitrieva, T.L., Kablukov, A.V. (2021) Implementation of an optimization algorithm using modified Lagrange functions on the example of a steel hinge-rod system, IOP Conf. Series: Earth and Environmental Science 751 (2021) 012061 Go to original source...
    7. Ganzerli, S. (2013). Direct Fully Stressed Design for Displacement Constraints, 10th World Congress on Structural and Multidisciplinary Optimization, May 19-24, 2013, Orlando, FL, USA
    8. Erol, O.K., Eksin, I. (2006). A new optimization method: Big Bang - Big Crunch, Advances in Engineering Software 37 (2006), 106-111 Go to original source...
    9. Tabakov, P.Y. (2018). A Minimum Weight Design Optimization of Large Steel Structures Using the Big Bang - Big Crunch Algorithm, Proceedings of the 48th International Conference on Computers & Industrial Engineering 2018 (CIE48), 2-5 December 2018, The University of Auckland, New Zealand
    10. Kaveh, A., Talatahari, S. (2009). Size optimization of space trusses using Big Bang - Big Crunch algorithm, Computers and Structures 87 (2009), 1129-1140 Go to original source...
    11. Botu, S.S., Barai, S.V. (2014). Structural Optimization Using Artificial Immune System, Blucher Mechanical Engineering Proceedings, May 2014, Vol. 1, Num. 1, 1849-1859 https://www.proceedings.blucher.com.br/evento/10wccm (access Dec. 2022) Go to original source...
    12. Woudenberg, T.R., Meer, F.P. (2021). A grouping method for optimization of steel skeletal structures by applying a combinatorial search algorithm based on a fully stressed design, Engineering Structures 249 (2021) 113299 Go to original source...
    13. Johnson, F.R., Holland, T.J. (1993). SAP IV USER'S GUIDE, VER. 1.0, Naval Civil Engineering Laboratory Port Hueneme, California 93043-4328 https://apps.dtic.mil/dtic/tr/fulltext/u2/a266907.pdf (access Dec. 2022)
    14. Miura, H. (1990). An improved fully stressed design algorithm for plate/shell structures, Structural Optimization (1990), Vol.2, No.4, 233-237 Go to original source...
    15. Ondris, ¥. (2014). Hybrid bandwidth minimization with limitable number of starting nodes, Journal of Computational Methods in Science and Engineering 14 (2014), 347-362 Go to original source...

    This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International License (CC BY 4.0), which permits use, distribution, and reproduction in any medium, provided the original publication is properly cited. No use, distribution or reproduction is permitted which does not comply with these terms.


    Return to the content