Topology optimization of compliant mechanisms using element-free Galerkin method

Wang, Y; Luo, Z; Wu, J; Zhang, N

Topology optimization of compliant mechanisms using element-free Galerkin method

Wang, Y Luo, Z

Wu, J

Zhang, N

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Publication Type:: Journal Article
Citation:: Advances in Engineering Software, 2015, 85 pp. 61 - 72
Issue Date:: 2015-01-01

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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	Wu, J https://orcid.org/0000-0002-4925-4242	en_US
dc.contributor.author	Zhang, N https://orcid.org/0000-0001-6408-0044	en_US
dc.date.available	2020-05-25T19:22:07Z
dc.date.issued	2015-01-01	en_US
dc.identifier.citation	Advances in Engineering Software, 2015, 85 pp. 61 - 72	en_US
dc.identifier.issn	0965-9978	en_US
dc.identifier.uri	http://hdl.handle.net/10453/38209
dc.description.abstract	© 2015 Elsevier Ltd. All rights reserved. This paper will propose a topology optimization approach for the design of large displacement compliant mechanisms with geometrical non-linearity by using the element-free Galerkin (EFG) method. In this method, the Shepard function is applied to construct a physically meaningful density approximant, to account for its non-negative and range-bounded property. Firstly, in terms of the original nodal density field, the Shepard function method functionally similar to a density filter is used to generate a non-local nodal density field with enriched smoothness over the design domain. The density of any node can be evaluated according to the nodal density variables located inside the influence domain of the interested node. Secondly, in the numerical implementation the Shepard function method is again employed to construct a point-wise density interpolant. Gauss quadrature is used to calculate the integration of background cells numerically, and the artificial densities over all Gauss points can be determined by the surrounding nodal densities within the influence domain of the concerned computational point. Finally, the moving least squares (MLS) method is applied to construct the shape functions using the weight functions with compact support for assembling the meshless approximations of state equations. Since MLS shape functions are lack of the Kronecker delta function property, the penalty method is applied to enforce the essential boundary conditions. A typical large-deformation compliant mechanism is used as the numerical example to demonstrate the effectiveness of the proposed method.	en_US
dc.relation.ispartof	Advances in Engineering Software	en_US
dc.relation.isbasedon	10.1016/j.advengsoft.2015.03.001	en_US
dc.subject.classification	Applied Mathematics	en_US
dc.title	Topology optimization of compliant mechanisms using element-free Galerkin method	en_US
dc.type	Journal Article
utslib.citation.volume	85	en_US
utslib.for	091308 Solid Mechanics	en_US
utslib.for	08 Information and Computing Sciences	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
utslib.copyright.status	open_access
pubs.publication-status	Published	en_US
pubs.volume	85	en_US

Abstract:

© 2015 Elsevier Ltd. All rights reserved. This paper will propose a topology optimization approach for the design of large displacement compliant mechanisms with geometrical non-linearity by using the element-free Galerkin (EFG) method. In this method, the Shepard function is applied to construct a physically meaningful density approximant, to account for its non-negative and range-bounded property. Firstly, in terms of the original nodal density field, the Shepard function method functionally similar to a density filter is used to generate a non-local nodal density field with enriched smoothness over the design domain. The density of any node can be evaluated according to the nodal density variables located inside the influence domain of the interested node. Secondly, in the numerical implementation the Shepard function method is again employed to construct a point-wise density interpolant. Gauss quadrature is used to calculate the integration of background cells numerically, and the artificial densities over all Gauss points can be determined by the surrounding nodal densities within the influence domain of the concerned computational point. Finally, the moving least squares (MLS) method is applied to construct the shape functions using the weight functions with compact support for assembling the meshless approximations of state equations. Since MLS shape functions are lack of the Kronecker delta function property, the penalty method is applied to enforce the essential boundary conditions. A typical large-deformation compliant mechanism is used as the numerical example to demonstrate the effectiveness of the proposed method.

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http://hdl.handle.net/10453/38209