Journal article
Fuzzy tolerance multilevel approach for structural topology optimization
Computers & structures, Vol.84(3), pp.127-140
2006
DOI: 10.1016/j.compstruc.2005.10.001
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 are 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.
Details
- Title: Subtitle
- Fuzzy tolerance multilevel approach for structural topology optimization
- Creators
- Zhen Luo - Center for Computer-Aided Design, School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan, Hubei 430074, PR ChinaLi-Ping Chen - Center for Computer-Aided Design, School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan, Hubei 430074, PR ChinaJingzhou Yang - Center for Computer-Aided Design, The University of Iowa, 111 Engineering Research Facility, Iowa City, IA 52246, USAYun-Qing Zhang - Center for Computer-Aided Design, School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan, Hubei 430074, PR ChinaKarim Abdel-Malek - Center for Computer-Aided Design, The University of Iowa, 111 Engineering Research Facility, Iowa City, IA 52246, USA
- Resource Type
- Journal article
- Publication Details
- Computers & structures, Vol.84(3), pp.127-140
- Publisher
- Elsevier Ltd
- DOI
- 10.1016/j.compstruc.2005.10.001
- ISSN
- 0045-7949
- eISSN
- 1879-2243
- Language
- English
- Date published
- 2006
- Academic Unit
- Roy J. Carver Department of Biomedical Engineering; Mechanical Engineering
- Record Identifier
- 9984064108202771
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