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A mathematical programming method for the topology optimization of a truss-like continuum

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Języki publikacji
EN
Abstrakty
EN
A mathematical programming method to optimize the distribution field of a truss-like material is presented. The densities and angles of members are optimized in two separate procedures in each iteration. An explicit sub-problem in a variable separation form is established at every iteration procedure. At each sub-problem, the stress constraint function is expanded into a trigonometric series of the member angles. According to the extreme condition, the optimal orientations of members are determined. The member densities are optimized using the method of moving asymptotes (MMA). Two examples demonstrate that the optimal truss-like structures are very close to analytic solutions.
Rocznik
Strony
751--763
Opis fizyczny
Bibliogr. 44 poz., rys.
Twórcy
autor
  • College of Civil Engineering, Huaqiao University, Xiamen, China
autor
  • College of Civil Engineering, Huaqiao University, Xiamen, China
Bibliografia
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  • 7. Bruggi M., 2008, On an alternative approach to stress constraints relaxation in topology optimization, Structural and Multidisciplinary Optimization, 36, 125-141
  • 8. Bruggi M., Venini P., 2008, A mixed FEM approach to stress-constrained topology optimization, International Journal for Numerical Methods in Engineering, 73, 1693-1714
  • 9. Cai S.Y., Zhang W.H., 2015, Stress constrained topology optimization with free-form design domains, Computer Methods in Applied Mechanics and Engineering, 289, 267-290
  • 10. Cai S.Y., Zhang W.H., Zhu J.H., Gao T., 2014, Stress constrained shape and topology optimization with fixed mesh: a B-spline finite cell method combined with level set function, Computer Methods in Applied Mechanics and Engineering, 278, 361-387
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  • 14. Emmendoerfer H., Fancello E.A., 2016, Topology optimization with local stress constraint based on level set evolution via reaction-diffusion, Computer Methods in Applied Mechanics and Engineering, 305, 62-88
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  • 17. Guo X., Zhang W.S., Wang M.Y., Wei P., 2011, Stress-related topology optimization via level set approach, Computer Methods in Applied Mechanics and Engineering, 200, 47, 3439-3452
  • 18. Guo X., Zhang W., Zhong W., 2014a, Doing topology optimization explicitly and geometrically: a new moving morphable components based framework, Journal of Applied Mechanics, 81, 8, 081009
  • 19. Guo X., Zhang W., Zhong W., 2014b, Stress-related topology optimization of continuum structures involving multi-phase materials, Computer Methods in Applied Mechanics and Engineering, 268, 1, 632-655
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  • 21. Holmberg E., Torstenfelt B., Klarbring A., 2013, Stress constrained topology optimization, Structural and Multidisciplinary Optimization, 48, 33-47
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  • 34. Svanberg K., 1987, The method of moving asymptotes – a new method for structural optimization, International Journal for Numerical Methods in Engineering, 24, 2, 359-373
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  • 36. Wang M.Y., Wang X.M., Guo D.M., 2003, A level set method for structural topology optimization, Computer Methods in Applied Mechanics and Engineering, 192, 1-2, 227-246
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  • 42. Zhou K., Li X., 2006, Topology optimization of structures under multiple load cases using fiber- -reinforced composite material model, Computational Mechanics, 38, 2, 163-170
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Uwagi
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-731b4e93-9e98-4f6a-9129-e253af815f0f
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