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A note on the derivation of global stress constraints

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Abstract

The purpose of this brief note is to derive the KS global constraint function. The first derivation based on the maximum entropy theory elaborates the statistical significance of KS function. The second one points out the relationship between KS and the p-norm global function. The properties of these two global functions validate these substitutions are reasonable.

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References

  • Bendsoe MP (1989) Optimal shape design as a material distribution problem. Struct Optim 1:193–202

    Article  Google Scholar 

  • Cheng GD, Guo X (1997) ε-relaxed approach in structural topology optimization. Struct Optim 13:258–266

    Article  Google Scholar 

  • Duysinx P, Bendsoe MP (1998) Topology optimization of continuum structures with local stress constraints. Int J Numer Methods Eng 43:1453–1478

    Article  MATH  MathSciNet  Google Scholar 

  • Duysinx P, Sigmund O (1998) New developments in handling stress constraints in optimal material distribution. In: 7th symposium on multidisciplinary analysis and optimization, AIAA/USAF/NASA/ISSMO, pp 1501–1509

  • Jaynes ET (1957) Information theory and statistical mechanics. Phys Rev 106:620–630

    Article  MathSciNet  Google Scholar 

  • Kirsch U (1990) On singular topologies in structural design. Struct Optim 2:133–142

    Article  Google Scholar 

  • Kreisselmeier G, Steinhauser R (1979) Systematic control design by optimizing a vector performance index. In: International federation of active controls symposium on computer-aided design of control systems. Zurich, Switzerland, pp 113–117

  • Li XS (1992) An entropy-based aggregate method for min–max optimization. Eng Optim 18:277–285

    Article  Google Scholar 

  • Pereira JT, Fancello EA, Barcellos CS (2004) Topology optimization of continuum structures with material failure constraints. Struct Multidisc Optim 26:50–66

    Article  MathSciNet  Google Scholar 

  • París J, Navarrina F et al (2009) Topology optimization of continuum structures with local and global stress constraints. Struct Multidisc Optim (in press)

  • Rozvany GIN (1996) Difficulties in truss topology optimization with stress, local buckling and system stability constraints. Struct Optim 11:213–217

    Article  Google Scholar 

  • Rozvany GIN (2001) On design-dependent constraints and singular topologies. Struct Multidisc Optim 21:164–172

    Article  Google Scholar 

  • Rozvany GIN, Sobieszczanski-Sobieski J (1992) New optimality criteria methods: forcing uniqueness of the adjoint straints by corner-rounding at constraint intersections. Struct Optim 4:244–246

    Article  Google Scholar 

  • Rozvany GIN, Zhou M, Birker T (1992) Generalized shape optimization without homogenization. Struct Optim 4:250–252

    Article  Google Scholar 

  • Rozvany GIN, Bendsoe MP, Kirsch U (1995) Layout optimization of structures. Appl Mech Rev (ASME) 48:41–119

    Article  Google Scholar 

  • Yang RJ, Chen CJ (1996) Stress-based topology optimization. Struct Optim 12:98–105

    Article  Google Scholar 

Download references

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Authors and Affiliations

  1. State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian, 116023, China

    G. Y. Qiu & X. S. Li

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  1. G. Y. Qiu
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  2. X. S. Li
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Correspondence to G. Y. Qiu.

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Qiu, G.Y., Li, X.S. A note on the derivation of global stress constraints. Struct Multidisc Optim 40, 625–628 (2010). https://doi.org/10.1007/s00158-009-0397-x

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  • DOI: https://doi.org/10.1007/s00158-009-0397-x

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