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
Event2011 IABSE-IASS Symposium - London
Duration: 1 Jan 2011 → …

Conference

Conference2011 IABSE-IASS Symposium
CityLondon
Period01/01/2011 → …

Keywords

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

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