Topology Optimization using a Radial Point-Based Interpolation Method

Wang, Y; Luo, Z; Zhang, N

Topology Optimization using a Radial Point-Based Interpolation Method

Wang, Y Luo, Z

Zhang, N

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Publisher:: University of Queensland
Publication Type:: Conference Proceeding
Citation:: 4th International Conference on Computational Methods, 2012, pp. 1 - 8
Issue Date:: 2012-01

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Field	Value	Language
dc.contributor.author	Wang, Y	en_US
dc.contributor.author	Luo, Z https://orcid.org/0000-0002-6953-3986	en_US
dc.contributor.author	Zhang, N https://orcid.org/0000-0001-6408-0044	en_US
dc.contributor.editor	Gu, APYT	en_US
dc.contributor.editor	Saha, DSC	en_US
dc.date	2012-11-25	en_US
dc.date.issued	2012-01	en_US
dc.identifier.citation	4th International Conference on Computational Methods, 2012, pp. 1 - 8	en_US
dc.identifier.isbn	978-1-921897-54-2	en_US
dc.identifier.uri	http://hdl.handle.net/10453/31323
dc.description.abstract	This study proposes a new meshless topology optimization method using the radial point interpolation method (RPIM) for continuum structures. RPIM combines radial basis functions (RBFs) with the point interpolation method (PIM) to avoid the singularity in the conventional polynomials-based point interpolations, in which a set of compactly supported RBFs are used to construct shape functions in meshless approximations and Gauss quadrature is applied to evaluate physical meaningful properties of the structure. The explicit form of the RPIM can be further augmented with an additional term of polynomials to satisfy the value-ranged property, which can guarantee a physically meaningful density field in topology optimization. The proposed meshless topology optimization method can be used to overcome typical numerical instabilities in the topology optimization of continua, including checkerboards and mesh-dependence. One benchmark problem is employed to demonstrate the effectiveness of the proposed topology optimization method	en_US
dc.publisher	University of Queensland	en_US
dc.relation.ispartof	4th International Conference on Computational Methods	en_US
dc.relation.ispartof	International Conference on Computational Methods	en_US
dc.title	Topology Optimization using a Radial Point-Based Interpolation Method	en_US
dc.type	Conference Proceeding
utslib.location	Brisbane Australia	en_US
utslib.location.activity	Gold Coast, QLD, Australia	en_US
utslib.for	0902 Automotive Engineering	en_US
dc.location.activity	Gold Coast, Australia
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Mechanical and Mechatronic Engineering
utslib.copyright.status	closed_access
pubs.consider-herdc	true	en_US
pubs.finish-date	2012-11-27	en_US
pubs.place-of-publication	Brisbane Australia	en_US
pubs.publication-status	Published	en_US
pubs.start-date	2012-11-25	en_US

Abstract:

This study proposes a new meshless topology optimization method using the radial point interpolation method (RPIM) for continuum structures. RPIM combines radial basis functions (RBFs) with the point interpolation method (PIM) to avoid the singularity in the conventional polynomials-based point interpolations, in which a set of compactly supported RBFs are used to construct shape functions in meshless approximations and Gauss quadrature is applied to evaluate physical meaningful properties of the structure. The explicit form of the RPIM can be further augmented with an additional term of polynomials to satisfy the value-ranged property, which can guarantee a physically meaningful density field in topology optimization. The proposed meshless topology optimization method can be used to overcome typical numerical instabilities in the topology optimization of continua, including checkerboards and mesh-dependence. One benchmark problem is employed to demonstrate the effectiveness of the proposed topology optimization method

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http://hdl.handle.net/10453/31323