Michell layouts for various combinations of line supports-I

G. Rozvany, W. Gollub

Research output: Contribution to journalArticle

40 Citations (Scopus)

Abstract

The optimal layout of least-weight grillages or beam systems of given depth has been determined in a closed analytical form for almost all conceivable boundary and load conditions. In spite of its early introduction at the turn of the century, the theory of least-weight trusses or "Michell-frameworks" has yielded, on the other hand, only few solutions for relatively restricted supports and loadings. The aim of this paper is to explore Michell layouts, when supports are provided anywhere along given lines. It is shown that for this less restricted case the solutions correspond to fields of constant strain, which give layouts consisting of a finite number of straight members. More complex classes of solutions will be discussed in a separate paper.

Original languageEnglish
Pages (from-to)1021-1043
Number of pages23
JournalInternational Journal of Mechanical Sciences
Volume32
Issue number12
DOIs
Publication statusPublished - 1990

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  • Mechanical Engineering

Cite this

Michell layouts for various combinations of line supports-I. / Rozvany, G.; Gollub, W.

In: International Journal of Mechanical Sciences, Vol. 32, No. 12, 1990, p. 1021-1043.

Research output: Contribution to journalArticle

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