Isogeometric topology optimization for continuum structures using density distribution function

Gao, J; Gao, L; Luo, Z; Li, P

Isogeometric topology optimization for continuum structures using density distribution function

Gao, J

Gao, L Luo, Z

Li, P

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Publication Type:: Journal Article
Citation:: International Journal for Numerical Methods in Engineering, 2019, 119 (10), pp. 991 - 1017
Issue Date:: 2019-01-01

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Field	Value	Language
dc.contributor.author	Gao, J https://orcid.org/0000-0002-4760-2768	en_US
dc.contributor.author	Gao, L	en_US
dc.contributor.author	Luo, Z https://orcid.org/0000-0002-6953-3986	en_US
dc.contributor.author	Li, P	en_US
dc.date.available	2020-08-21T19:02:43Z
dc.date.issued	2019-01-01	en_US
dc.identifier.citation	International Journal for Numerical Methods in Engineering, 2019, 119 (10), pp. 991 - 1017	en_US
dc.identifier.issn	0029-5981	en_US
dc.identifier.uri	http://hdl.handle.net/10453/133083
dc.description.abstract	© 2019 John Wiley & Sons, Ltd. This paper will propose a more effective and efficient topology optimization method based on isogeometric analysis, termed as isogeometric topology optimization (ITO), for continuum structures using an enhanced density distribution function (DDF). The construction of the DDF involves two steps. (1) Smoothness: the Shepard function is firstly utilized to improve the overall smoothness of nodal densities. Each nodal density is assigned to a control point of the geometry. (2) Continuity: the high-order NURBS basis functions are linearly combined with the smoothed nodal densities to construct the DDF for the design domain. The nonnegativity, partition of unity, and restricted bounds [0, 1] of both the Shepard function and NURBS basis functions can guarantee the physical meaning of material densities in the design. A topology optimization formulation to minimize the structural mean compliance is developed based on the DDF and isogeometric analysis to solve structural responses. An integration of the geometry parameterization and numerical analysis can offer the unique benefits for the optimization. Several 2D and 3D numerical examples are performed to demonstrate the effectiveness and efficiency of the proposed ITO method, and the optimized 3D designs are prototyped using the Selective Laser Sintering technique.	en_US
dc.relation	http://purl.org/au-research/grants/arc/DP160102491
dc.relation.ispartof	International Journal for Numerical Methods in Engineering	en_US
dc.relation.isbasedon	10.1002/nme.6081	en_US
dc.rights	info:eu-repo/semantics/openAccess
dc.subject.classification	Applied Mathematics	en_US
dc.title	Isogeometric topology optimization for continuum structures using density distribution function	en_US
dc.type	Journal Article
utslib.citation.volume	10	en_US
utslib.citation.volume	119	en_US
utslib.for	091307 Numerical Modelling and Mechanical Characterisation	en_US
utslib.for	09 Engineering	en_US
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
pubs.organisational-group	/University of Technology Sydney/Students
utslib.copyright.status	open_access	*
pubs.issue	10	en_US
pubs.publication-status	Published	en_US
pubs.volume	119	en_US

Abstract:

© 2019 John Wiley & Sons, Ltd. This paper will propose a more effective and efficient topology optimization method based on isogeometric analysis, termed as isogeometric topology optimization (ITO), for continuum structures using an enhanced density distribution function (DDF). The construction of the DDF involves two steps. (1) Smoothness: the Shepard function is firstly utilized to improve the overall smoothness of nodal densities. Each nodal density is assigned to a control point of the geometry. (2) Continuity: the high-order NURBS basis functions are linearly combined with the smoothed nodal densities to construct the DDF for the design domain. The nonnegativity, partition of unity, and restricted bounds [0, 1] of both the Shepard function and NURBS basis functions can guarantee the physical meaning of material densities in the design. A topology optimization formulation to minimize the structural mean compliance is developed based on the DDF and isogeometric analysis to solve structural responses. An integration of the geometry parameterization and numerical analysis can offer the unique benefits for the optimization. Several 2D and 3D numerical examples are performed to demonstrate the effectiveness and efficiency of the proposed ITO method, and the optimized 3D designs are prototyped using the Selective Laser Sintering technique.

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http://hdl.handle.net/10453/133083