Exact analytical theory of topology optimization with some pre-existing members or elements

G. Rozvany, O. M. Querin, J. Lógó, V. Pomezanski

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

This note deals with topological optimization of structures in which some members or elements of given cross-section exist prior to design and new members are to be added to the system. Existing members are costless, but new members and additions to the cross-section of existing members have a non-zero cost. The added weight is minimized for given behavioural constraints. The proposed analytical theory is illustrated with examples of least-weight (Michell) trusses having (a) stress or compliance constraints, (b) one loading condition and (c) some pre-existing members. Different permissible stresses in tension and compression are also considered. The proposed theory is also confirmed by finite element (FE)-based numerical solutions.

Original languageEnglish
Pages (from-to)373-377
Number of pages5
JournalStructural and Multidisciplinary Optimization
Volume31
Issue number5
DOIs
Publication statusPublished - May 2006

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Topology Optimization
Shape optimization
Cross section
Topological Optimization
Trusses
Compliance
Compression
Numerical Solution
Finite Element
Costs
Design

ASJC Scopus subject areas

  • Engineering (miscellaneous)
  • Mechanics of Materials
  • Computational Mechanics
  • Computer Science Applications
  • Computational Theory and Mathematics

Cite this

Exact analytical theory of topology optimization with some pre-existing members or elements. / Rozvany, G.; Querin, O. M.; Lógó, J.; Pomezanski, V.

In: Structural and Multidisciplinary Optimization, Vol. 31, No. 5, 05.2006, p. 373-377.

Research output: Contribution to journalArticle

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