Top

Structural and Multidisciplinary Optimization

Published in:

01-10-2014 | BRIEF NOTE

A confirmation of a conjecture on the existence of symmetric optimal solution under multiple loads

Authors: Xu Guo, Zongliang Du, Gengdong Cheng

Published in: Structural and Multidisciplinary Optimization | Issue 4/2014

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

Abstract

In this note, a conjecture on the existence of symmetric optimal solution under multiple loads made in Rozvany (Struct Multidisc Optim 43:297–317, 2011, Conjecture 4) has been confirmed.

previous article The gradient projection method for structural topology optimization including density-dependent force

next article Bilevel multiobjective packaging optimization for automotive design

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

inform now

Cheng GD, Liu XF (2011) Discussion on symmetry of optimum topology design. Struct Multidisc Optim 44:713–717MathSciNetCrossRefMATH

Guo X, Du ZL, Cheng GD, Ni CH (2013) Symmetry properties in structural optimization: some extensions. Struct Multidisc Optim 47:783–794CrossRefMATH

Guo X, Ni CH, Cheng GD, Du ZL (2012) Some symmetry results for optimal solutions in structural optimization. Struct Multidisc Optim 46:631–645MathSciNetCrossRefMATH

Petersson J (2001) On continuity of the design-to-state mappings for trusses with variable topology. Int J Eng Sci 39:1119–1141MathSciNetCrossRefMATH

Richardson JN, Adriaenssens S, Bouillard P, Coelho RF (2013) Symmetry and asymmetry of solutions in discrete variable structural optimization. Struct Multidisc Optim 47:631–643CrossRefMATH

Rozvany GIN (2011) On symmetry and non-uniqueness in exact topology optimization. Struct Multidisc Optim 43:297–317MathSciNetCrossRefMATH

Svanberg K (1994) On the convexity and concavity of compliances. Struct Optim 7:42–46CrossRef

Title: A confirmation of a conjecture on the existence of symmetric optimal solution under multiple loads
Authors: Xu Guo
Zongliang Du
Gengdong Cheng
Publication date: 01-10-2014
Publisher: Springer Berlin Heidelberg
Published in: Structural and Multidisciplinary Optimization / Issue 4/2014
Print ISSN: 1615-147X
Electronic ISSN: 1615-1488
DOI: https://doi.org/10.1007/s00158-014-1089-8

Springer Professional

Abstract

Please log in to get access to your license.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Other articles of this Issue 4/2014

Bilevel multiobjective packaging optimization for automotive design

Seismic optimum design of triple friction pendulum bearing subjected to near-fault pulse-like ground motions

Optimal SVM parameter selection for non-separable and unbalanced datasets

Material interface effects on the topology optimizationof multi-phase structures using a level set method

Structural topology optimization with constraints on multi-fastener joint loads

The gradient projection method for structural topology optimization including density-dependent force

Premium Partners