Topological Optimization of Structures Using a Multilevel Nodal Density-Based Approximant

Wang, Y; Luo, Z; Zhang, N

Topological Optimization of Structures Using a Multilevel Nodal Density-Based Approximant

Wang, Y Luo, Z

Zhang, N

Permalink

Publication Type:: Journal Article
Citation:: CMES - Computer Modeling in Engineering and Sciences, 2012, 84 (3), pp. 229 - 252
Issue Date:: 2012-06-28

Closed Access

	Filename	Description	Size
	Topological optimization of structures using a multilevel nodal density-based approximant.pdf	Published Version	2.06 MB	Adobe PDF	View/Open

Copyright Clearance Process

Recently Added
In Progress
Closed Access

This item is closed access and not available.

Full metadata record

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.date.issued	2012-06-28	en_US
dc.identifier.citation	CMES - Computer Modeling in Engineering and Sciences, 2012, 84 (3), pp. 229 - 252	en_US
dc.identifier.issn	1526-1492	en_US
dc.identifier.uri	http://hdl.handle.net/10453/31050
dc.description.abstract	This paper proposes an alternative topology optimization method for the optimal design of continuum structures, which involves a multilevel nodal density-based approximant based on the concept of conventional SIMP (solid isotropic material with penalization) model. First, in terms of the original set of nodal densities, the Shepard function method is applied to generate a non-local nodal density field with enriched smoothness over the design domain. The new nodal density field possesses non-negative and range-bounded properties to ensure a physically meaningful approximation of topology optimization design. Second, the density variables at the nodes of finite elements are used to interpolate elemental densities, as well as corresponding element material properties. In this way, the nodal density field by using the non-local Shepard function method is transformed to a practical elemental density field via a local interpolation with the elemental shape function. The low-order finite elements are utilized to evaluate the displacement and strain fields, due to their numerical efficiency and implementation easiness. So, the proposed topology optimization method is expected to be efficient in finite element implementation, and effective in the elimination of numerical instabilities, e.g. checkerboards and mesh-dependency. Three typical numerical examples in topology optimization are employed to demonstrate the effectiveness of the proposed method. Copyright © 2012 Tech Science Press.	en_US
dc.relation.ispartof	CMES - Computer Modeling in Engineering and Sciences	en_US
dc.subject.classification	Applied Mathematics	en_US
dc.title	Topological Optimization of Structures Using a Multilevel Nodal Density-Based Approximant	en_US
dc.type	Journal Article
utslib.citation.volume	3	en_US
utslib.citation.volume	84	en_US
utslib.for	0902 Automotive Engineering	en_US
utslib.for	0102 Applied Mathematics	en_US
utslib.for	0103 Numerical and Computational Mathematics	en_US
utslib.for	0915 Interdisciplinary 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
utslib.copyright.status	closed_access
pubs.issue	3	en_US
pubs.publication-status	Published	en_US
pubs.volume	84	en_US

Abstract:

This paper proposes an alternative topology optimization method for the optimal design of continuum structures, which involves a multilevel nodal density-based approximant based on the concept of conventional SIMP (solid isotropic material with penalization) model. First, in terms of the original set of nodal densities, the Shepard function method is applied to generate a non-local nodal density field with enriched smoothness over the design domain. The new nodal density field possesses non-negative and range-bounded properties to ensure a physically meaningful approximation of topology optimization design. Second, the density variables at the nodes of finite elements are used to interpolate elemental densities, as well as corresponding element material properties. In this way, the nodal density field by using the non-local Shepard function method is transformed to a practical elemental density field via a local interpolation with the elemental shape function. The low-order finite elements are utilized to evaluate the displacement and strain fields, due to their numerical efficiency and implementation easiness. So, the proposed topology optimization method is expected to be efficient in finite element implementation, and effective in the elimination of numerical instabilities, e.g. checkerboards and mesh-dependency. Three typical numerical examples in topology optimization are employed to demonstrate the effectiveness of the proposed method. Copyright © 2012 Tech Science Press.

Please use this identifier to cite or link to this item:

http://hdl.handle.net/10453/31050