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Michell cantilevers constructed within trapezoidal domains—Part III: force fields

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Abstract

This paper complements the analysis of geometric properties of the Hencky nets within the Michell cantilevers constructed in the trapezoidal domains by providing the analytical formulae for the force fields. The force field analysis introduces a new division of the cantilever domain and enables an alternative method for computing the optimal weights.

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References

  • Chan HSY (1967) Half-plane slip-line fields and Michell structures. Q J Mech Appl Math 20:453–469

    MATH  Google Scholar 

  • Graczykowski C, Lewiński T (2006a) Michell cantilevers constructed within trapezoidal domains—Part I: geometry of Hencky nets. Struct Multidisc Optim (in press)

  • Graczykowski C, Lewiński T (2006b) Michell cantilevers constructed within trapezoidal domains—Part II: virtual displacement fields. Struct Multidisc Optim (in press)

  • Hemp WS (1973) Optimum structures. Clarendon, Oxford

    Google Scholar 

  • Lewiński T, Zhou M, Rozvany GIN (1994a) Extended exact solutions for least-weight truss layouts. Part I: cantilever with a horizontal axis of symmetry. Int J Mech Sci 36:375–398

    Article  Google Scholar 

  • Lewiński T, Zhou M, Rozvany GIN (1994b) Extended exact solutions for least-weight truss layouts. Part II: unsymmetric cantilevers. Int J Mech Sci 36:399–419

    Article  Google Scholar 

  • Novozhilov VV (1962) Theory of thin shells, 2nd edn. Sudpromgiz, Leningrad (in Russian)

    MATH  Google Scholar 

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Authors and Affiliations

  1. Institute of Fundamental Technological Research, Polish Academy of Sciences, Świętokrzyska 21, 00-049, Warsaw, Poland

    C. Graczykowski

  2. Faculty of Civil Engineering, Institute of Structural Mechanics, Warsaw University of Technology, al.Armii Ludowej 16, 00-637, Warsaw, Poland

    T. Lewiński

Authors
  1. C. Graczykowski
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  2. T. Lewiński
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Correspondence to C. Graczykowski.

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Graczykowski, C., Lewiński, T. Michell cantilevers constructed within trapezoidal domains—Part III: force fields. Struct Multidisc Optim 33, 1–19 (2007). https://doi.org/10.1007/s00158-005-0601-6

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  • DOI: https://doi.org/10.1007/s00158-005-0601-6

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