Parametric shape and topology optimization with radial basis functions

Michael Yu Wang; Shengyin Wang

doi:10.1007/1-4020-4752-5_2

Parametric shape and topology optimization with radial basis functions

Michael Yu Wang
, Shengyin Wang

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Other

14 Citations (Scopus)

Abstract

This paper describes a parametric optimization technique for shape and topology optimization. The proposed method is a generalization of the classical method of level sets which are represented with discrete grids. In using radial basis functions (RBFs), the proposed formulation projects the geometric motion of the level sets of an implicit function onto its parametric representation. The resulting method provides a set of new capabilities for general shape and topology optimization, particularly treating it as a parameter problem with the RBF implicit models. Numerical examples are presented in the paper, suggesting the potential of the method.

Original language	English
Title of host publication	IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials
Subtitle of host publication	Status and Perspectives
Publisher	Springer-Verlag London Ltd.
Pages	13-22
Number of pages	10
ISBN (Print)	1402047290, 9781402047299
DOIs	https://doi.org/10.1007/1-4020-4752-5_2
Publication status	Published - 2006
Externally published	Yes
Event	IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials: Status and Perspectives 2006 - Rungstedgaard, Denmark Duration: 26 Oct 2005 → 29 Oct 2005 https://link.springer.com/book/10.1007/1-4020-4752-5 (Proceedings)

Publication series

Name	Solid Mechanics and its Applications
Volume	137
ISSN (Print)	1875-3507

Conference

Conference	IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials: Status and Perspectives 2006
Country/Territory	Denmark
City	Rungstedgaard
Period	26/10/05 → 29/10/05
Internet address	https://link.springer.com/book/10.1007/1-4020-4752-5 (Proceedings)

Keywords

Level set method
Parameter design
Radial basis functions
Shape and topology optimization

Access to Document

10.1007/1-4020-4752-5_2

Cite this

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title = "Parametric shape and topology optimization with radial basis functions",

abstract = "This paper describes a parametric optimization technique for shape and topology optimization. The proposed method is a generalization of the classical method of level sets which are represented with discrete grids. In using radial basis functions (RBFs), the proposed formulation projects the geometric motion of the level sets of an implicit function onto its parametric representation. The resulting method provides a set of new capabilities for general shape and topology optimization, particularly treating it as a parameter problem with the RBF implicit models. Numerical examples are presented in the paper, suggesting the potential of the method.",

keywords = "Level set method, Parameter design, Radial basis functions, Shape and topology optimization",

author = "Wang, \{Michael Yu\} and Shengyin Wang",

year = "2006",

doi = "10.1007/1-4020-4752-5\_2",

language = "English",

isbn = "1402047290",

series = "Solid Mechanics and its Applications",

publisher = "Springer-Verlag London Ltd.",

pages = "13--22",

booktitle = "IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials",

address = "Germany",

note = "IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials: Status and Perspectives 2006 ; Conference date: 26-10-2005 Through 29-10-2005",

url = "https://link.springer.com/book/10.1007/1-4020-4752-5",

}

Wang, MY & Wang, S 2006, Parametric shape and topology optimization with radial basis functions. in IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials: Status and Perspectives. Solid Mechanics and its Applications, vol. 137, Springer-Verlag London Ltd., pp. 13-22, IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials: Status and Perspectives 2006, Rungstedgaard, Denmark, 26/10/05. https://doi.org/10.1007/1-4020-4752-5_2

Parametric shape and topology optimization with radial basis functions. / Wang, Michael Yu; Wang, Shengyin.
IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials: Status and Perspectives. Springer-Verlag London Ltd., 2006. p. 13-22 (Solid Mechanics and its Applications; Vol. 137).

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Other

TY - GEN

T1 - Parametric shape and topology optimization with radial basis functions

AU - Wang, Michael Yu

AU - Wang, Shengyin

PY - 2006

Y1 - 2006

N2 - This paper describes a parametric optimization technique for shape and topology optimization. The proposed method is a generalization of the classical method of level sets which are represented with discrete grids. In using radial basis functions (RBFs), the proposed formulation projects the geometric motion of the level sets of an implicit function onto its parametric representation. The resulting method provides a set of new capabilities for general shape and topology optimization, particularly treating it as a parameter problem with the RBF implicit models. Numerical examples are presented in the paper, suggesting the potential of the method.

AB - This paper describes a parametric optimization technique for shape and topology optimization. The proposed method is a generalization of the classical method of level sets which are represented with discrete grids. In using radial basis functions (RBFs), the proposed formulation projects the geometric motion of the level sets of an implicit function onto its parametric representation. The resulting method provides a set of new capabilities for general shape and topology optimization, particularly treating it as a parameter problem with the RBF implicit models. Numerical examples are presented in the paper, suggesting the potential of the method.

KW - Level set method

KW - Parameter design

KW - Radial basis functions

KW - Shape and topology optimization

UR - https://www.scopus.com/pages/publications/84860727478

U2 - 10.1007/1-4020-4752-5_2

DO - 10.1007/1-4020-4752-5_2

M3 - Conference Paper

AN - SCOPUS:84860727478

SN - 1402047290

SN - 9781402047299

T3 - Solid Mechanics and its Applications

SP - 13

EP - 22

BT - IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials

PB - Springer-Verlag London Ltd.

T2 - IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials: Status and Perspectives 2006

Y2 - 26 October 2005 through 29 October 2005

ER -

Parametric shape and topology optimization with radial basis functions

Abstract

Publication series

Conference

Keywords

Access to Document

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