Analytical and numerical solutions for a reliability-based benchmark example

G. Rozvany, Kurt Maute

Research output: Contribution to journalArticle

30 Citations (Scopus)

Abstract

The aim of this elementary reliability-based truss topology example is to serve as a benchmark for checking on the validity, accuracy and convergence of FE-based numerical topology optimization methods. The above problem has been solved analytically by using an extension of the optimal layout theory (Prager and Rozvany) and the solution has been verified numerically by a first order reliability approach (FORM) combined with a material distribution method (SIMP).

Original languageEnglish
Pages (from-to)745-753
Number of pages9
JournalStructural and Multidisciplinary Optimization
Volume43
Issue number6
DOIs
Publication statusPublished - Jun 2011

Fingerprint

Analytical Solution
Numerical Solution
Benchmark
Numerical Optimization
Topology Optimization
Shape optimization
Optimization Methods
Layout
Topology
First-order
Form

Keywords

  • Benchmark problems
  • Compliance design
  • Optimal layout theory
  • Probabilistic design
  • Reliability based design
  • Topology optimization

ASJC Scopus subject areas

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

Cite this

Analytical and numerical solutions for a reliability-based benchmark example. / Rozvany, G.; Maute, Kurt.

In: Structural and Multidisciplinary Optimization, Vol. 43, No. 6, 06.2011, p. 745-753.

Research output: Contribution to journalArticle

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