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Erschienen in: Structural and Multidisciplinary Optimization 1/2012

01.01.2012 | Research Paper

Geometrical aspects of optimum truss like structures for three-force problem

verfasst von: Arkadiusz Mazurek

Erschienen in: Structural and Multidisciplinary Optimization | Ausgabe 1/2012

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Abstract

In this paper, similarities between three-force and three-point non-smooth optimization problems are highlighted. Starting from geometrical rules controlling discrete optimum solutions for three-point problems a reasonable hypothesis is created for similar geometrical rules to control discrete optimum structures for three-force problems. The hypothesis is confirmed through a numerical approach. A step-by-step method to graphically obtain a discrete optimum structure for any set of three balanced forces is provided. It is shown that discrete optimum structures with large number of elements converge to the known continuum optimum solutions in the literature.

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Metadaten
Titel
Geometrical aspects of optimum truss like structures for three-force problem
verfasst von
Arkadiusz Mazurek
Publikationsdatum
01.01.2012
Verlag
Springer-Verlag
Erschienen in
Structural and Multidisciplinary Optimization / Ausgabe 1/2012
Print ISSN: 1615-147X
Elektronische ISSN: 1615-1488
DOI
https://doi.org/10.1007/s00158-011-0679-y

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