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Generalized Michell structures — exact least-weight truss layouts for combined stress and displacement constraints: Part II — Analytical solutions within a two-bar topology

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Abstract

Analytical solutions are obtained for least-weight trusses with a vertical support and a single point load in an arbitrary direction. The optimal layout is derived for displacement and stress constraints within a two-bar topology, with different permissible stresses for the two bars. The globality of the above solutions is verified by a numerical exploration of the design space. The results in this paper show a complete agreement with the general theory of plane generalized Michell structures outlined in Part I of this study.

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References

  • Birker, T. 1995:Doctoral Dissertation, FB 10, Essen University

  • Birker, T.; Lewiński, T.; Rozvany, G.I.N. 1994: A well-posed nonselfadjoint layout problem: least-weight plane truss for one load condition and two displacement constraints.Struct. Optim. 8, 195–205

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  • Rozvany, G.I.N.; Birker, T. 1995: Generalized Michell structures — exact least-weight truss layouts for combined stress and displacement constraints: Part I — General theory for plane trusses.Struct. Optim. 9, 178–188

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  • Rozvany, G.I.N.; Birker, T.; Lewiński, T. 1994: Some unexpected properties of exact least-weight plane truss layouts with displacement constraints for several loading conditions.Struct. Optim. 7, 76–86

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  1. FB 10, Essen University, Postfach 10 37 64, D-45117, Essen, Germany

    T. Birker

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  1. T. Birker
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Birker, T. Generalized Michell structures — exact least-weight truss layouts for combined stress and displacement constraints: Part II — Analytical solutions within a two-bar topology. Structural Optimization 9, 214–219 (1995). https://doi.org/10.1007/BF01743973

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  • DOI: https://doi.org/10.1007/BF01743973

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