Fuzzy tolerance multilevel approach for structural topology optimization

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dc.contributor.author Luo, Zhen en_US
dc.contributor.author Chen, Liping en_US
dc.contributor.author Zhang, Yun-Qing en_US
dc.contributor.author Abdel-Malek, Karim en_US
dc.contributor.editor en_US
dc.date.accessioned 2012-02-02T10:57:09Z
dc.date.available 2012-02-02T10:57:09Z
dc.date.issued 2006 en_US
dc.identifier 2011000649 en_US
dc.identifier.citation Luo Zhen et al. 2006, 'Fuzzy tolerance multilevel approach for structural topology optimization', Elsevier, vol. 84, no. 3-4, pp. 127-140. en_US
dc.identifier.issn 0045-7949 en_US
dc.identifier.other C1UNSUBMIT en_US
dc.identifier.uri http://hdl.handle.net/10453/15410
dc.description.abstract This paper presents a novel methodology, fuzzy tolerance multilevel programming approach, for applying fuzzy set theory and sequence multilevel method to multi-objective topology optimization problems of continuum structures undergoing multiple loading cases. Ridge-type nonlinear membership functions in fuzzy set theory an. applied to embody fuzzy and uncertain characteristics essentially involved by the objective and constraint functions. Sequence multilevel method is used to characterize the different priorities of loading cases at different levels making contribution to the final optimum solution, which is practically beneficial to reduce the subjective influence transferred by using weighted approaches. The solid isotropic material with penalization (SIMP) is adopted as the density-stiffness interpolation scheme to relax the original optimization problem and indicate the dependence of material properties with element pseudo-densities. Sequential linear programming (SLP) is used as the optimizer to solve the multi-objective optimization problem formulated using fuzzy tolerance multilevel programming scheme. Numerical instabilities, such as checkerboards and mesh dependencies are summarized and a duplicate sensitivity filtering method, in favor of contributing to the mesh-dependent optimum designs, is subsequently proposed to regularize the singularity of the optimization problem. The validation of the methodologies presented in this work has been demonstrated by detailed examples of numerical applications en_US
dc.language en_US
dc.publisher Elsevier en_US
dc.relation.isbasedon http://dx.doi.org/10.1016/j.compstruc.2005.10.001 en_US
dc.title Fuzzy tolerance multilevel approach for structural topology optimization en_US
dc.parent Computers & Structures en_US
dc.journal.volume 84 en_US
dc.journal.number 3-4 en_US
dc.publocation England, UK en_US
dc.identifier.startpage 127 en_US
dc.identifier.endpage 140 en_US
dc.cauo.name FEIT.Faculty of Engineering & Information Technology en_US
dc.conference Verified OK en_US
dc.for 090600 en_US
dc.personcode 111984 en_US
dc.personcode 119426 en_US
dc.personcode 0000072923 en_US
dc.personcode 0000072924 en_US
dc.percentage 100 en_US
dc.classification.name Electrical and Electronic Engineering en_US
dc.classification.type FOR-08 en_US
dc.edition en_US
dc.custom en_US
dc.date.activity en_US
dc.location.activity en_US
dc.description.keywords topology optimization; multi-objective; fuzzy set theory; tolerance multilevel programming approach; numerical instabilities en_US

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