On the geometry of discrete Michell trusses
Author(s): |
Henrik Almegaard
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Medium: | conference paper |
Language(s): | English |
Conference: | 35th Annual Symposium of IABSE / 52nd Annual Symposium of IASS / 6th International Conference on Space Structures: Taller, Longer, Lighter - Meeting growing demand with limited resources, London, United Kingdom, September 2011 |
Published in: | IABSE-IASS 2011 London Symposium Report |
Year: | 2011 |
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. |
Keywords: |
dynamic relaxation optimal design Geometry Optimization Michell trusses discrete geometry
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