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

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

Research output: Contribution to journalArticle

20 Citations (Scopus)


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
Issue number5
Publication statusPublished - May 1 2006


ASJC Scopus subject areas

  • Software
  • Control and Systems Engineering
  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design
  • Control and Optimization

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