Journal ArticleDOI
Convergent and mesh-independent solutions for the bi-directional evolutionary structural optimization method
Xiaodong Huang,Yi Min Xie +1 more
TLDR
In this paper, a mesh-independency filter using nodal variables is introduced to determine the addition of elements and eliminate unnecessary structural details below a certain length scale in the design.About:
This article is published in Finite Elements in Analysis and Design.The article was published on 2007-10-01. It has received 572 citations till now. The article focuses on the topics: Topology optimization & Evolutionary algorithm.read more
Citations
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COMPUTATIONAL MORPHOGENESIS OF BUILDING STRUCTURES USING IESO METHOD: Application to façade design@@@ファサードデザインへの応用
Journal ArticleDOI
Generation of Optimal Load Paths for Corroded Reinforced Concrete Beams Part I: Automatic Stiffness Adjustment Technique
References
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Journal ArticleDOI
Generating optimal topologies in structural design using a homogenization method
Martin P. Bendsøe,Noboru Kikuchi +1 more
TL;DR: In this article, the authors present a methodology for optimal shape design based on homogenization, which is related to modern production techniques and consists of computing the optimal distribution in space of an anisotropic material that is constructed by introducing an infimum of periodically distributed small holes in a given homogeneous, i.i.
Book
Topology Optimization: Theory, Methods, and Applications
Martin P. Bendsøe,Ole Sigmund +1 more
TL;DR: In this article, the authors proposed a topology optimization by distribution of isotropic material for truss structures with anisotropic materials, based on the topology design of truss structure.
Journal ArticleDOI
Optimal shape design as a material distribution problem
TL;DR: In this article, various ways of removing this discrete nature of the problem by the introduction of a density function that is a continuous design variable are described. But none of these methods can be used for shape optimization in a general setting.
Journal ArticleDOI
A simple evolutionary procedure for structural optimization
Yi Min Xie,Grant P. Steven +1 more
TL;DR: In this paper, a simple evolutionary procedure is proposed for shape and layout optimization of structures, where low stressed material is progressively eliminated from the structure during the evolution process, and various examples are presented to illustrate the optimum structural shapes and layouts achieved by this procedure.
Journal ArticleDOI
A 99 line topology optimization code written in Matlab
TL;DR: It is shown that only 49 Matlab input lines are required for solving a well-posed topology optimization problem and by adding three additional lines, the program can solve problems with multiple load cases.
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Generating optimal topologies in structural design using a homogenization method
Martin P. Bendsøe,Noboru Kikuchi +1 more