Why multi-load topology designs based on orthogonal microstructures are in general non-optimal

G. Rozvany, M. Zhou, T. Birker

Research output: Contribution to journalArticle

28 Citations (Scopus)

Abstract

It is well established that for a compliance constraint, the optimal topology of perforated plates under plane stress tends to that for least-weight trusses (Michell structures) as the "volume fraction" (i.e. the ratio material volume/available volume) approaches zero. It is shown in this note that for two loading conditions the optimal bar orientations for Michell structures are in general non-orthogonal and hence the assumption of orthogonal microstructures in multi-load plate topology optimization must lead to erroneous results.

Original languageEnglish
Pages (from-to)200-204
Number of pages5
JournalStructural Optimization
Volume6
Issue number3
DOIs
Publication statusPublished - Sep 1993

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Perforated plates
Trusses
Shape optimization
Microstructure
Volume fraction
Topology
Plane Stress
Topology Optimization
Volume Fraction
Compliance
Tend
Zero
Design

ASJC Scopus subject areas

  • Civil and Structural Engineering

Cite this

Why multi-load topology designs based on orthogonal microstructures are in general non-optimal. / Rozvany, G.; Zhou, M.; Birker, T.

In: Structural Optimization, Vol. 6, No. 3, 09.1993, p. 200-204.

Research output: Contribution to journalArticle

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