Symmetry of solu- tions in discrete and continuous structural topology optimization

James Richardson; Sigrid Adriaenssens; Rajan Filomeno Coelho; Philippe Bouillard

Symmetry of solu- tions in discrete and continuous structural topology optimization

James Richardson, Sigrid Adriaenssens, Rajan Filomeno Coelho, Philippe Bouillard

Mechanics of Materials and Constructions

Research output: Chapter in Book/Report/Conference proceeding › Conference paper

Abstract

In this paper a study is made of symmetry and asymmetry in structural topology optimization with discrete variables. A group theory approach is used to formally de ne the symmetry of the structural problems. This approach allows us to describe the set of symmetric structures and relate it to the entire search space. It is shown that, given a symmetric problem with continuous variables, an optimal symmetric solution (if any) exists. However, it is shown that this does not hold for the discrete case. Finally a number of examples are investigated to demonstrate the ndings of the research.

Original language	English
Title of host publication	Eleventh International Conference on Computational Structures Technology (CST 2012)
Publication status	Published - 2012
Event	Eleventh International Conference on Computational Structures Technology (CST 2012) - Dubrovnik, Croatia Duration: 4 Sep 2012 → 7 Sep 2012

Conference

Conference	Eleventh International Conference on Computational Structures Technology (CST 2012)
Abbreviated title	CST 2012
Country/Territory	Croatia
City	Dubrovnik
Period	4/09/12 → 7/09/12

Keywords

symmetry
topology optimization
structural Optimization

Cite this

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title = "Symmetry of solu- tions in discrete and continuous structural topology optimization",

abstract = "In this paper a study is made of symmetry and asymmetry in structural topology optimization with discrete variables. A group theory approach is used to formally de ne the symmetry of the structural problems. This approach allows us to describe the set of symmetric structures and relate it to the entire search space. It is shown that, given a symmetric problem with continuous variables, an optimal symmetric solution (if any) exists. However, it is shown that this does not hold for the discrete case. Finally a number of examples are investigated to demonstrate the ndings of the research.",

keywords = "symmetry, topology optimization, structural Optimization",

author = "James Richardson and Sigrid Adriaenssens and {Filomeno Coelho}, Rajan and Philippe Bouillard",

year = "2012",

language = "English",

booktitle = "Eleventh International Conference on Computational Structures Technology (CST 2012)",

note = "Eleventh International Conference on Computational Structures Technology (CST 2012), CST 2012 ; Conference date: 04-09-2012 Through 07-09-2012",

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TY - GEN

T1 - Symmetry of solu- tions in discrete and continuous structural topology optimization

AU - Richardson, James

AU - Adriaenssens, Sigrid

AU - Filomeno Coelho, Rajan

AU - Bouillard, Philippe

PY - 2012

Y1 - 2012

N2 - In this paper a study is made of symmetry and asymmetry in structural topology optimization with discrete variables. A group theory approach is used to formally de ne the symmetry of the structural problems. This approach allows us to describe the set of symmetric structures and relate it to the entire search space. It is shown that, given a symmetric problem with continuous variables, an optimal symmetric solution (if any) exists. However, it is shown that this does not hold for the discrete case. Finally a number of examples are investigated to demonstrate the ndings of the research.

AB - In this paper a study is made of symmetry and asymmetry in structural topology optimization with discrete variables. A group theory approach is used to formally de ne the symmetry of the structural problems. This approach allows us to describe the set of symmetric structures and relate it to the entire search space. It is shown that, given a symmetric problem with continuous variables, an optimal symmetric solution (if any) exists. However, it is shown that this does not hold for the discrete case. Finally a number of examples are investigated to demonstrate the ndings of the research.

KW - symmetry

KW - topology optimization

KW - structural Optimization

M3 - Conference paper

BT - Eleventh International Conference on Computational Structures Technology (CST 2012)

T2 - Eleventh International Conference on Computational Structures Technology (CST 2012)

Y2 - 4 September 2012 through 7 September 2012

ER -

Symmetry of solu- tions in discrete and continuous structural topology optimization

Abstract

Conference

Keywords

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Cite this