A new Evolutionary Structural Optimization method and application for aided design to reinforced concrete components

Abstract

The Evolutionary Structural Optimization (ESO) has been applied to find the optimal structural topology for design and construction purposes. However, its efficiency is low due to the imperfect deletion criteria. This paper presents an improved elimination criterion and the Windowed Evolutionary Structural Optimization (WESO) method. The former considers the structural average strain energy as the elimination criteria in the optimization, with the elimination rate set as a self-adaption state by an adjustable window. Thus, the problems of low optimization efficiency and distorted optimization results in the traditional ESO can be solved to a certain extent. The WESO method can then be extended and applied with a complex finite element model. It is found that the method has better optimal ability in handling discrete elements in vast structures. Compared with the other method, the WESO method has high computational efficiency and offers more stable and reliable topology than the Michell theoretical solution. Lastly, upon developing the optimal topology for a double-deck structure, it is shown that the WESO method has a great potential in civil engineering applications.

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References

  1. Alali S, Li J, Guo G (2013) Double deck bridge behavior and failure mechanism under seismic motions using nonlinear analyzes. Earthq Eng Eng Vib 12(3):447–461

    Article  Google Scholar 

  2. Allaire G, Jouve F, Toader AM (2004) Structural optimization using sensitivity analysis and a level-set method. J Comput Phys 194(1):363–393

    MathSciNet  Article  Google Scholar 

  3. American Concrete Institute (2014) Building code requirements for structural concrete and commentary:ACI 318–14[S].Michigan, USA:ACI Committee 318

  4. Amir O, Sigmund O (2011) On reducing computational effort in topology optimization: how far can we go? Struct Multidiscip Optim 44(1):25–29

    Article  Google Scholar 

  5. Chu DN, Xie YM, Hira A, Steven GP (1996) Evolutionary structural optimization for problems with stiffness constraints. Finite Elem Anal Des 21(4):239–251

    Article  Google Scholar 

  6. Deaton JD, Grandhi RV (2014) A survey of structural and multidisciplinary continuum topology optimization: post 2000. Struct Multidiscip Optim 49(1):1–38

    MathSciNet  Article  Google Scholar 

  7. Deng S, Suresh K (2016) Multi-constrained 3D topology optimization via augmented topological level-set. Comput Struct 170:1–12

    Article  Google Scholar 

  8. Eschenauer HA, Olhoff N (2001) Topology optimization of continuum structures: a review. Appl Mech Rev 54(4):331–390

    Article  Google Scholar 

  9. Ghabraie K (2015) An improved soft-kill BESO method for optimal distribution of single or multiple material phases. Struct Multidiscip Optim 52(4):773–790

    MathSciNet  Article  Google Scholar 

  10. Grierson DE, Khajehpour S (2002) Conceptual design optimization of engineering structures. Recent advances in optimal structural design. American Society of Civil Engineers, Reston, pp 81–95

    Google Scholar 

  11. Gu Z (2015) Experimental study and analysis on the flexural behavior of concrete box girder oriented to double-deck traffic [D]. Hunan University of Science and Technology

  12. Guan H, Chen YJ, Loo YC, Xie YM, Steven GP (2003) Bridge topology optimisation with stress, displacement and frequency constraints. Comput Struct 81(3):131–145

    Article  Google Scholar 

  13. Hemp WS (1973) Optimum structure. Clarendon Press, Oxford, pp 70–101

    Google Scholar 

  14. Hennessy JL, Patterson DA (2011) Computer architecture: a quantitative approach. Elsevier

  15. Huang X, Xie YM (2009) Bi-directional evolutionary topology optimization of continuum structures with one or multiple materials. Comput Mech 43(3):393

    MathSciNet  Article  Google Scholar 

  16. Huang X, Xie YM (2010) Evolutionary topology optimization of continuum structures: methods & applications. Wiley, New York

    Book  Google Scholar 

  17. Huang X, Zuo ZH, Xie YM (2010) Evolutionary topological optimization of vibrating continuum structures for natural frequencies. Comput Struct 88(5–6):357–364

    Article  Google Scholar 

  18. Huang X, Li Y, Zhou SW, Xie YM (2014) Topology optimization of compliant mechanisms with desired structural stiffness. Eng Struct 79:13–21

    Article  Google Scholar 

  19. Lewiński T, Sokół T, Graczykowski C (2019) Theory of Michell structures. Single load case. In: Michell structures. Springer, Cham, pp 93–118

    Google Scholar 

  20. Li Q, Steven GP, Xie YM (1999) On equivalence between stress criterion and stiffness criterion in evolutionary structural optimization. Struct Optim 18(1):67–73

    Article  Google Scholar 

  21. Li Q, Steven GP, Xie YM (2001) Evolutionary structural optimization for connection topology design of multi-component systems. Eng Comput 18(3/4):460–479

    Article  Google Scholar 

  22. Liang QQ, Xie YM, Steven GP (2000) Topology optimization of strut-and-tie models in reinforced concrete structures using an evolutionary procedure (Doctoral dissertation, American Concrete Institute)

  23. Lin W, Yoda T (2017) Bridge engineering: classifications, design loading, and analysis methods. Butterworth-Heinemann

  24. Liu X, Yi WJ (2012) Strut-and-tie model construction for deep beams with openings. Eng Mech 29(12):141–146

    Article  Google Scholar 

  25. Liu X, Yi WJ, Li QS, Shen PS (2008) Genetic evolutionary structural optimization. J Constr Steel Res 64(3):305–311

    Article  Google Scholar 

  26. Niu B, Yan J, Cheng G (2009) Optimum structure with homogeneous optimum cellular material for maximum fundamental frequency. Struct Multidiscip Optim 39(2):115

    Article  Google Scholar 

  27. Querin OM, Steven GP, Xie YM (1998) Evolutionary structural optimisation (ESO) using a bidirectional method. Eng Comput

  28. Ren G, Smith JV, Tang JW, Xie YM (2005) Underground excavation shape optimization using an evolutionary procedure. Comput Geotech 32(2):122–132

    Article  Google Scholar 

  29. Rozvany GI (2009) A critical review of established methods of structural topology optimization. Struct Multidiscip Optim 37(3):217–237

    MathSciNet  Article  Google Scholar 

  30. Salamak M, Fross K (2016) Bridges in urban planning and architectural culture. Procedia Eng 161:207–212

    Article  Google Scholar 

  31. Sigmund O, Petersson J (1998) Numerical instabilities in topology optimization: a survey on procedures dealing with checkerboards, mesh-dependencies and local minima. Struct Optim 16(1):68–75

    Article  Google Scholar 

  32. Wang J-Q, Xie Z-R, Zhu M-Q et al (2016) Experimental study on the bending performance of concrete box girder oriented to double-deck traffic [J]. Eng Mech 33(s1):196–200

    Google Scholar 

  33. Xia L, Xia Q, Huang X, Xie YM (2018) Bi-directional evolutionary structural optimization on advanced structures and materials: a comprehensive review. Arch Comput Methods Eng 25(2):437–478

    MathSciNet  Article  Google Scholar 

  34. Xie YM, Steven GP (1993) A simple evolutionary procedure for structural optimization. Comput Struct 49(5):885–896

    Article  Google Scholar 

  35. Yang X (1999) Bi-directional evolutionary method for stiffness and displacement optimisation (Doctoral dissertation, Victoria University of Technology)

  36. Zhang HZ, Liu X, Yi WJ, Deng YH (2018) Performance comparison of shear walls with openings designed using elastic stress and genetic evolutionary structural optimization methods. Struct Eng Mech 65(3):303–314

    Google Scholar 

  37. Zhu M, Yan Z, Chen L, Lu Z, Chen YF (2019) Experimental study on composite mechanical properties of a double-deck prestressed concrete box girder. Adv Struct Eng:1369433219845150

  38. Zuo ZH, Xie YM (2014) Evolutionary topology optimization of continuum structures with a global displacement control. Comput Aided Des 56:58–67

    Article  Google Scholar 

Download references

Replication of results

All the data presented in this study were generated using the licensed computer program ANSYS APDL. The full data sets as well as the source code are available upon request.

Funding

The authors are grateful for the financial support provided by the National Natural Science Foundation of China (Grant Nos. 51378202, 51578236, and 51508182).

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Correspondence to Huzhi Zhang.

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The authors declare that they have no conflict of interest.

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Responsible Editor: Emilio Carlos Nelli Silva

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Wang, L., Zhang, H., Zhu, M. et al. A new Evolutionary Structural Optimization method and application for aided design to reinforced concrete components. Struct Multidisc Optim 62, 2599–2613 (2020). https://doi.org/10.1007/s00158-020-02626-z

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Keywords

  • Structural optimization
  • Topology optimization
  • Evolutionary Structural Optimization method
  • Computational efficiency
  • Windowed