MILESTONES IN THE HISTORY OF THE TOPOLOGY OPTIMIZATION

SGIS – Četrnaesto međunarodno naučno-stručno savetovanje „Ocenja stanja, održavanje i sanacija građevinskih objekata“ (2026) [11-22]

 

AUTHOR(S) / АУТОР(И): János Lógó , Bálint Tóth , Mokhtar Tantawi

 

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DOI: https://doi.org/10.46793/SGIS26s.011L

ABSTRACT / САЖЕТАК:

Optimization is one of the most intensively investigated research area in engineering and needs very complex knowledge in the mathematics, Physics and informatics. Topology optimization has been the most popular subfield of it recently. It has more than 150 years of history. The starting date can be connected to the Maxwell’s paper published in 1870.  This presentation is an overview of subjectively selected state-of-art achievements during the full history what is more than 150 years. The selection of the achievements of this field is a rather difficult task because in the early period of the history of topology optimization lot of meetings were classified and the results were not available for public. The optimization community has almost no knowledge about the publications in topology optimization in the 50s of the past century. This presentation also gives an overview of the recent achievements with industrial applications as, well. These applications are based on our recent researches.

KEYWORDS / КЉУЧНЕ РЕЧИ: 

optimization, topology optimization, optimal layout, optimality criteria method, mathematical programming, reticulated shell, CLT-concrete composite structure.

ACKNOWLEDGEMENT / ПРОЈЕКАТ:

REFERENES / ЛИТЕРАТУРA:             

  • Barta, J.; On the Minimum Weight of Certain Redundant Structures, Acta Tech. Acad. Sci. Hung.,V. 18, 67-76, 1957.
  • Bendsoe, M.P. and Kikuchi, N.; Generating Optimal Topologies in Structural Design Using a Homogenization Method, Comp. Meth. Appl. Mech. Eng., 71, 197-224, 1988.
  • Bruggi, M.; Ismail, H.; and Lógó, J.; ”Topology Optimization with Graded Infill Accounting for Loading Uncertainty”. Composite Structures 311 (2023): 116807.
  • Cox, H. L., Structures of Minimum Weight: The Basic Theory of Design Applied to the Beam under Pure Bending, Aeronautical Research Council 19785, 1958.
  • Csébfalvi, ; A new theoretical approach for robust truss optimization with uncertain load directions, Mechanics Based Design of Structures and Machines, 42, 4, 442-453, 2014.
  • Dunning, P.D.; Kim, H.A. and Mullineux, G. ;“Introducing Loading Uncertainty in Topology Optimization”, AIAA Journal, 49(4), 760-768, 2012.
  • Guest, J.K., Igusa, T.; Structural optimization under uncertain loads and nodal locations, Comp. Meth. Appl. Mech. Eng., 198, 116-124, 2008. https://doi.org/10.1016/j.cma.2008.04.009
  • Kazinczy, G.; “Experiments with Clamped End Beams” (in Hungarian) Betonszemle (Concrete Review), 2, No.4., 5.,6., 68-71, 83-87, 101-104, 1914.
  • Kharmanda, ; Olhoff, N.; A. Mohamed,  M. Lemaire, Reliability-based topology optimization, Structural and Multidisciplinary Optimization, 26(5), 295-307, 2004.
  • Lógó, J.; New Type of Optimal Topologies by Iterative Method, Mechanics Based Design of Structures and Machines, 33, 2, 149-172, 2005.
  • Lógó, J.; New Type of Optimality Criteria Method in Case of Probabilistic Loading Conditions, Mechanics Based Design of Structures and Machines, 35, 2, 147-162, 2007.
  • Lógó, ; Ghaemi, M., Movahedi Rad, M.; Optimal topologies in case of probabilistic loading: The influence of load correlation, Mechanics Based Design of Structures and Machines, 37 , 3,  327-348 , 2009.
  • Lógó, J.; SIMP type topology optimization procedure considering uncertain load position, Periodica Polytechnica Civil Engineering, (56)2, 213-219, 2012.
  • Lógó; and Pintér, V.; Numerical Methods in Probabilistic Topology Optimisation: A Review In: B H, V Topping et.al. (eds.) Computational Technology Reviews Stirling, United Kingdom / Scotland: Saxe-Coburg Publications, 79-108, 2012.
  • Lógó, J., and Ismail, H.; Milestones in the 150-year history of topology optimization: a review. Computer Assisted Methods in Engineering and Science, 27(2-3), 97-132, 2020.
  • Lógó;  ; Balogh; B. and  Pintér, E.; Topology Optimization Considering Multiple Loading, Computers & Structures,  233-244, 2018.
  • Maxwell, J.C.; On Reciprocal Figures, Frames, and Diagrams of Forces. Transactions of the Royal Society of Edinburgh, 26, (1), 1–40, 1870.
  • Michell, A.G.M.; “The Limits of Economy of Material in Frames Structures”, Philosophical Magazine, 8, 589-597, 1904.
  • Nagtegaal, C.; Prager, W. ;Optimal Layout of a Truss for Alternative Loads, International Journal of Mechanical Sciences, 15, 7, 583-592, 1973.
  • Rossow, M.P. and Taylor, J.E.; A Finite Element Method for the Optimal Design of Variable Thickness Sheets, J. AIAA, 11, 1566-1569, 1973.
  • Rozvany, G.I.N.; Structural Design via Optimality Criteria, Kluwer Academic Publisher, Dordrect, 1989.
  • Sved, G.; The Minimum Weight of Certain Redundant Structures, Australian Journal of Applied Sciences, 5, 1-9, 1954.
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