Please use this identifier to cite or link to this item: https://doi.org/10.1002/nme.2092
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dc.titleA level set-based parameterization method for structural shape and topology optimization
dc.contributor.authorLuo, Z.
dc.contributor.authorWang, M.Y.
dc.contributor.authorWang, S.
dc.contributor.authorWei, P.
dc.date.accessioned2014-12-02T08:38:58Z
dc.date.available2014-12-02T08:38:58Z
dc.date.issued2008-10-01
dc.identifier.citationLuo, Z., Wang, M.Y., Wang, S., Wei, P. (2008-10-01). A level set-based parameterization method for structural shape and topology optimization. International Journal for Numerical Methods in Engineering 76 (1) : 1-26. ScholarBank@NUS Repository. https://doi.org/10.1002/nme.2092
dc.identifier.issn00295981
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/114624
dc.description.abstractThis paper presents an effective parametric approach by extending the conventional level set method to structural shape and topology optimization using the compactly supported radial basis functions (RBFs) and the optimality criteria (OC) method. The structural design boundary is first represented implicitly by embedding into a higher-dimensional level set function as its zero level set, and the RBFs of a favorable smoothness are then applied to interpolate the level set function. The original initial value problem is thus converted to a parametric optimization, with the expansion coefficients of the interplant posed as the design variables. The OC method is then applied to advance the structure boundary in terms of the velocity field derived from the parametric optimization. Hence, the structural shape and topology optimization is now transformed into a process of iteratively finding coefficients to update the level set function to achieve an optimal configuration. The numerical considerations of the conventional level set method, including upwind schemes, velocity extension, and reinitialization, are eliminated. The proposed scheme is capable of addressing structural shape fidelity and topology change simultaneously and of keeping the boundary smooth during the optimization process. Furthermore, numerical convergence is expected to be improved. A widely investigated example, in the framework of structural stiffness designs, is applied to demonstrate the efficiency and accuracy of the proposed approach. Copyright © 2007 John Wiley & Sons, Ltd.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1002/nme.2092
dc.sourceScopus
dc.subjectLevel set methods
dc.subjectOptimality criteria methods
dc.subjectRadial basis functions
dc.subjectShape optimization
dc.subjectTopology optimization
dc.typeArticle
dc.contributor.departmentSINGAPORE-MIT ALLIANCE
dc.description.doi10.1002/nme.2092
dc.description.sourcetitleInternational Journal for Numerical Methods in Engineering
dc.description.volume76
dc.description.issue1
dc.description.page1-26
dc.description.codenIJNMB
dc.identifier.isiut000260239000001
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