New analytical benchmarks for topology optimization and their implications. Part I: Bi-symmetric trusses with two point loads between supports

Tomasz Sokól, G. Rozvany

Research output: Contribution to journalArticle

24 Citations (Scopus)

Abstract

Extending some results by Sokól and Lewínski (Struct Multidisc Optim 42:835-853, 2010), the optimal topology of bi-symmetric trusses with two symmetrically placed pointloads is determined analytically, and verified by highly accurate numerical calculations. It is rather remarkable that Michell's best-known classical solution had to wait over hundred years for its generalization from one to two point loads. Some implications of these solutions, including properties of so-called O-regions, are also discussed.

Original languageEnglish
Pages (from-to)477-486
Number of pages10
JournalStructural and Multidisciplinary Optimization
Volume46
Issue number4
DOIs
Publication statusPublished - Oct 2012

Fingerprint

Trusses
Topology Optimization
Shape optimization
Classical Solution
Numerical Calculation
Topology
Benchmark
Generalization

Keywords

  • Exact topology optimization
  • Michell trusses
  • Optimal regions
  • Stress constraints
  • Symmetry

ASJC Scopus subject areas

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

Cite this

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