On the geometry of discret Michell trusses

Henrik Almegaard

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    Abstract

    This paper concerns design of two-dimensional minimum weight trusses with a limited number of bars and nodes, so called discrete Michell trusses. It is shown that the geometrical properties for such discrete systems found by Prager in 1978, is analogues to the properties for continuous systems given by Michell in 1904. A set of simple design rules are extracted and it is indicated how these rules can be used to construct discrete Michell truss geometries. A number of geometrical optimized discrete examples of known Michell trusses are presented and they meet these design rules very well.
    Original languageEnglish
    Title of host publication2011 IABSE-IASS Symposium - Proceedings
    Publication date2011
    Publication statusPublished - 2011
    EventInternational Association for Shell and Spatial Structures (IABSE-IASS) Symposium 2011: Taller, Longer, Lighter - London, United Kingdom
    Duration: 20 Sept 201123 Sept 2011

    Conference

    ConferenceInternational Association for Shell and Spatial Structures (IABSE-IASS) Symposium 2011
    Country/TerritoryUnited Kingdom
    CityLondon
    Period20/09/201123/09/2011

    Keywords

    • Michell trusses
    • dynamic relaxation
    • discrete geometry
    • Optimal design
    • geometry optimization

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