A new level set method for systematic design of hinge-free compliant mechanisms

Luo, J; Luo, Z; Chen, S; Tong, L; Wang, MY

A new level set method for systematic design of hinge-free compliant mechanisms

Luo, J Luo, Z

Chen, S Tong, L Wang, MY

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Publication Type:: Journal Article
Citation:: Computer Methods in Applied Mechanics and Engineering, 2008, 198 (2), pp. 318 - 331
Issue Date:: 2008-12-01

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Field	Value	Language
dc.contributor.author	Luo, J	en_US
dc.contributor.author	Luo, Z https://orcid.org/0000-0002-6953-3986	en_US
dc.contributor.author	Chen, S	en_US
dc.contributor.author	Tong, L	en_US
dc.contributor.author	Wang, MY	en_US
dc.date.issued	2008-12-01	en_US
dc.identifier.citation	Computer Methods in Applied Mechanics and Engineering, 2008, 198 (2), pp. 318 - 331	en_US
dc.identifier.issn	0045-7825	en_US
dc.identifier.uri	http://hdl.handle.net/10453/15342
dc.description.abstract	This paper presents a new level set-based method to realize shape and topology optimization of hinge-free compliant mechanisms. A quadratic energy functional used in image processing applications is introduced in the level set method to control the geometric width of structural components in the created mechanism. A semi-implicit scheme with an additive operator splitting (AOS) algorithm is employed to solve the Hamilton-Jacobi partial differential equation (PDE) in the level set method. The design of compliant mechanisms is mathematically represented as a general non-linear programming with a new objective function augmented by the high-order energy term. The structural optimization is thus changed to a numerical process that describes the design as a sequence of motions by updating the implicit boundaries until the optimized structure is achieved under specified constraints. In doing so, it is expected that numerical difficulties such as the Courant-Friedrichs-Lewy (CFL) condition and periodically applied re-initialization procedures in most conventional level set methods can be eliminated. In addition, new holes can be created inside the design domain. The final mechanism configurations consist of strip-like members suitable for generating distributed compliance, and solving the de-facto hinge problem in the design of compliant mechanisms. Two widely studied numerical examples are studied to demonstrate the effectiveness of the proposed method in the context of designing distributed compliant mechanisms. © 2008 Elsevier B.V. All rights reserved.	en_US
dc.relation.ispartof	Computer Methods in Applied Mechanics and Engineering	en_US
dc.relation.isbasedon	10.1016/j.cma.2008.08.003	en_US
dc.subject.classification	Applied Mathematics	en_US
dc.title	A new level set method for systematic design of hinge-free compliant mechanisms	en_US
dc.type	Journal Article
utslib.citation.volume	2	en_US
utslib.citation.volume	198	en_US
utslib.for	0913 Mechanical Engineering	en_US
utslib.for	01 Mathematical 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	closed_access
pubs.issue	2	en_US
pubs.publication-status	Published	en_US
pubs.volume	198	en_US

Abstract:

This paper presents a new level set-based method to realize shape and topology optimization of hinge-free compliant mechanisms. A quadratic energy functional used in image processing applications is introduced in the level set method to control the geometric width of structural components in the created mechanism. A semi-implicit scheme with an additive operator splitting (AOS) algorithm is employed to solve the Hamilton-Jacobi partial differential equation (PDE) in the level set method. The design of compliant mechanisms is mathematically represented as a general non-linear programming with a new objective function augmented by the high-order energy term. The structural optimization is thus changed to a numerical process that describes the design as a sequence of motions by updating the implicit boundaries until the optimized structure is achieved under specified constraints. In doing so, it is expected that numerical difficulties such as the Courant-Friedrichs-Lewy (CFL) condition and periodically applied re-initialization procedures in most conventional level set methods can be eliminated. In addition, new holes can be created inside the design domain. The final mechanism configurations consist of strip-like members suitable for generating distributed compliance, and solving the de-facto hinge problem in the design of compliant mechanisms. Two widely studied numerical examples are studied to demonstrate the effectiveness of the proposed method in the context of designing distributed compliant mechanisms. © 2008 Elsevier B.V. All rights reserved.

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http://hdl.handle.net/10453/15342